TSTP Solution File: SYN036-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN036-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 01:48:40 EDT 2023

% Result   : Unsatisfiable 2.51s 2.63s
% Output   : CNFRefutation 2.58s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    big_p: $i > $o ).

tff(decl_23,type,
    f1: $i > $i ).

tff(decl_24,type,
    big_q: $i > $o ).

tff(decl_25,type,
    f2: $i > $i ).

tff(decl_26,type,
    c6: $i ).

tff(decl_27,type,
    c7: $i ).

tff(decl_28,type,
    c8: $i ).

tff(decl_29,type,
    c9: $i ).

tff(decl_30,type,
    c10: $i ).

tff(decl_31,type,
    c1: $i ).

tff(decl_32,type,
    c2: $i ).

tff(decl_33,type,
    c3: $i ).

tff(decl_34,type,
    c4: $i ).

tff(decl_35,type,
    c5: $i ).

tff(decl_36,type,
    c11: $i ).

tff(decl_37,type,
    c16: $i ).

tff(decl_38,type,
    c17: $i ).

tff(decl_39,type,
    c18: $i ).

tff(decl_40,type,
    f4: $i > $i ).

tff(decl_41,type,
    c19: $i ).

tff(decl_42,type,
    c20: $i ).

tff(decl_43,type,
    c12: $i ).

tff(decl_44,type,
    c13: $i ).

tff(decl_45,type,
    f3: $i > $i ).

tff(decl_46,type,
    c14: $i ).

tff(decl_47,type,
    c15: $i ).

cnf(clause_101,negated_conjecture,
    ( big_p(X1)
    | big_p(f3(X1))
    | big_q(c14)
    | big_p(X2)
    | big_q(f4(X3))
    | big_q(X3)
    | big_p(c19)
    | big_q(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_101) ).

cnf(clause_49,negated_conjecture,
    ( big_p(c3)
    | big_q(c4)
    | big_p(X2)
    | big_q(f2(X3))
    | big_q(X3)
    | big_q(X5)
    | ~ big_p(X1)
    | ~ big_p(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_49) ).

cnf(clause_53,negated_conjecture,
    ( big_p(c3)
    | big_q(c4)
    | big_p(X2)
    | big_q(c8)
    | big_p(c9)
    | big_q(X4)
    | ~ big_p(X1)
    | ~ big_q(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_53) ).

cnf(clause_5,negated_conjecture,
    ( big_p(X1)
    | big_p(f1(X1))
    | big_p(X3)
    | big_q(c8)
    | big_p(c9)
    | big_q(X5)
    | ~ big_q(X2)
    | ~ big_q(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).

cnf(clause_29,negated_conjecture,
    ( big_q(c1)
    | big_q(c8)
    | big_p(c9)
    | big_q(X3)
    | ~ big_p(X1)
    | ~ big_p(f1(X1))
    | ~ big_p(c2)
    | ~ big_q(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_29) ).

cnf(clause_128,negated_conjecture,
    ( ~ big_p(X1)
    | ~ big_p(f3(X1))
    | ~ big_q(X2)
    | ~ big_p(c15)
    | ~ big_q(f4(X3))
    | ~ big_q(X3)
    | ~ big_p(X4)
    | ~ big_q(c20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_128) ).

cnf(clause_61,negated_conjecture,
    ( big_p(c3)
    | big_q(c8)
    | big_p(c9)
    | big_q(X4)
    | ~ big_p(X1)
    | ~ big_q(X2)
    | ~ big_p(c5)
    | ~ big_q(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_61) ).

cnf(clause_81,negated_conjecture,
    ( big_p(c11)
    | big_p(X3)
    | big_q(c16)
    | big_q(X6)
    | ~ big_p(X1)
    | ~ big_q(X2)
    | ~ big_q(X4)
    | ~ big_p(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_81) ).

cnf(clause_4,negated_conjecture,
    ( big_p(X1)
    | big_p(f1(X1))
    | big_p(X3)
    | big_p(c6)
    | ~ big_q(X2)
    | ~ big_q(f2(X4))
    | ~ big_q(X4)
    | ~ big_q(c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

cnf(clause_83,negated_conjecture,
    ( big_p(c11)
    | big_p(X3)
    | big_q(X4)
    | big_q(X6)
    | ~ big_p(X1)
    | ~ big_q(X2)
    | ~ big_q(c16)
    | ~ big_p(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_83) ).

cnf(clause_7,negated_conjecture,
    ( big_p(X1)
    | big_p(f1(X1))
    | big_p(X3)
    | big_q(X4)
    | big_p(c9)
    | big_q(X5)
    | ~ big_q(X2)
    | ~ big_q(c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).

cnf(clause_88,negated_conjecture,
    ( big_p(c11)
    | big_p(X3)
    | ~ big_p(X1)
    | ~ big_q(X2)
    | ~ big_q(f4(X4))
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_q(c20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_88) ).

cnf(clause_25,negated_conjecture,
    ( big_q(c1)
    | big_q(f2(X2))
    | big_q(X2)
    | big_q(X4)
    | ~ big_p(X1)
    | ~ big_p(f1(X1))
    | ~ big_p(c2)
    | ~ big_p(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_25) ).

cnf(clause_65,negated_conjecture,
    ( big_p(X1)
    | big_p(X3)
    | big_q(c16)
    | big_q(X6)
    | ~ big_p(c11)
    | ~ big_q(X2)
    | ~ big_q(X4)
    | ~ big_p(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_65) ).

cnf(clause_121,negated_conjecture,
    ( big_q(c16)
    | big_q(X5)
    | ~ big_p(X1)
    | ~ big_p(f3(X1))
    | ~ big_q(X2)
    | ~ big_p(c15)
    | ~ big_q(X3)
    | ~ big_p(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_121) ).

cnf(clause_67,negated_conjecture,
    ( big_p(X1)
    | big_p(X3)
    | big_q(X4)
    | big_q(X6)
    | ~ big_p(c11)
    | ~ big_q(X2)
    | ~ big_q(c16)
    | ~ big_p(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_67) ).

cnf(clause_123,negated_conjecture,
    ( big_q(X3)
    | big_q(X5)
    | ~ big_p(X1)
    | ~ big_p(f3(X1))
    | ~ big_q(X2)
    | ~ big_p(c15)
    | ~ big_q(c16)
    | ~ big_p(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_123) ).

cnf(clause_72,negated_conjecture,
    ( big_p(X1)
    | big_p(X3)
    | ~ big_p(c11)
    | ~ big_q(X2)
    | ~ big_q(f4(X4))
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_q(c20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_72) ).

cnf(clause_33,negated_conjecture,
    ( big_p(X1)
    | big_q(c4)
    | big_p(X2)
    | big_q(f2(X3))
    | big_q(X3)
    | big_q(X5)
    | ~ big_p(c3)
    | ~ big_p(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_33) ).

cnf(c_0_19,negated_conjecture,
    ( big_p(X1)
    | big_p(f3(X1))
    | big_q(c14)
    | big_p(X2)
    | big_q(f4(X3))
    | big_q(X3)
    | big_p(c19)
    | big_q(X4) ),
    clause_101 ).

cnf(c_0_20,negated_conjecture,
    ( big_q(f4(X1))
    | big_q(c14)
    | big_q(X1)
    | big_p(f3(X2))
    | big_p(c19)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_19]) ).

cnf(c_0_21,negated_conjecture,
    ( big_p(c3)
    | big_q(c4)
    | big_p(X2)
    | big_q(f2(X3))
    | big_q(X3)
    | big_q(X5)
    | ~ big_p(X1)
    | ~ big_p(X4) ),
    clause_49 ).

cnf(c_0_22,negated_conjecture,
    ( big_q(f4(X1))
    | big_q(c14)
    | big_q(X1)
    | big_p(f3(X2))
    | big_p(c19)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_20]) ).

cnf(c_0_23,negated_conjecture,
    ( big_q(f4(X1))
    | big_q(f2(X2))
    | big_q(c14)
    | big_q(c4)
    | big_q(X1)
    | big_q(X2)
    | big_q(X3)
    | big_p(c19)
    | big_p(c3)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_21]),c_0_21]) ).

cnf(c_0_24,negated_conjecture,
    ( big_q(f4(X1))
    | big_q(f2(X2))
    | big_q(f4(X3))
    | big_q(c4)
    | big_q(c14)
    | big_q(X1)
    | big_q(X4)
    | big_q(X2)
    | big_q(X3)
    | big_p(c3)
    | big_p(c19) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_22]),c_0_23]) ).

cnf(c_0_25,negated_conjecture,
    ( big_q(f4(X1))
    | big_q(f2(X2))
    | big_q(c14)
    | big_q(c4)
    | big_q(X2)
    | big_q(X3)
    | big_q(X1)
    | big_p(c19)
    | big_p(c3) ),
    inference(ef,[status(thm)],[c_0_24]) ).

cnf(c_0_26,negated_conjecture,
    ( big_p(c3)
    | big_q(c4)
    | big_p(X2)
    | big_q(c8)
    | big_p(c9)
    | big_q(X4)
    | ~ big_p(X1)
    | ~ big_q(X3) ),
    clause_53 ).

cnf(c_0_27,negated_conjecture,
    ( big_q(f4(X1))
    | big_q(f2(X2))
    | big_q(c4)
    | big_q(c14)
    | big_q(X1)
    | big_q(X2)
    | big_p(c3)
    | big_p(c19) ),
    inference(ef,[status(thm)],[c_0_25]) ).

cnf(c_0_28,negated_conjecture,
    ( big_p(X1)
    | big_p(f1(X1))
    | big_p(X3)
    | big_q(c8)
    | big_p(c9)
    | big_q(X5)
    | ~ big_q(X2)
    | ~ big_q(X4) ),
    clause_5 ).

cnf(c_0_29,negated_conjecture,
    ( big_q(f4(X1))
    | big_q(c4)
    | big_q(c8)
    | big_p(c19)
    | big_p(c3)
    | big_p(c9)
    | big_p(X2)
    | ~ big_p(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_26]),c_0_26]),c_0_26]),c_0_26]) ).

cnf(c_0_30,negated_conjecture,
    ( big_q(c14)
    | big_q(c8)
    | big_p(f3(X1))
    | big_p(f1(X2))
    | big_p(c19)
    | big_p(c9)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3)
    | ~ big_q(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_22]),c_0_28]),c_0_28]) ).

cnf(c_0_31,negated_conjecture,
    ( big_q(f4(X1))
    | big_q(f4(X2))
    | big_q(c14)
    | big_q(c8)
    | big_q(c4)
    | big_q(X1)
    | big_p(c9)
    | big_p(c3)
    | big_p(c19)
    | big_p(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_22]),c_0_29]) ).

cnf(c_0_32,negated_conjecture,
    ( big_q(c8)
    | big_q(c14)
    | big_p(f3(X1))
    | big_p(f1(X2))
    | big_p(f3(X3))
    | big_p(c9)
    | big_p(c19)
    | big_p(X1)
    | big_p(X4)
    | big_p(X2)
    | big_p(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_22]),c_0_30]) ).

cnf(c_0_33,negated_conjecture,
    ( big_q(f4(X1))
    | big_q(c4)
    | big_q(c8)
    | big_q(c14)
    | big_q(X1)
    | big_p(c19)
    | big_p(c3)
    | big_p(c9)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_31]) ).

cnf(c_0_34,negated_conjecture,
    ( big_q(c14)
    | big_q(c8)
    | big_p(f3(X1))
    | big_p(f1(X2))
    | big_p(c19)
    | big_p(c9)
    | big_p(X2)
    | big_p(X3)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_32]) ).

cnf(c_0_35,negated_conjecture,
    ( big_q(c14)
    | big_q(c4)
    | big_q(c8)
    | big_p(c19)
    | big_p(c3)
    | big_p(c9)
    | big_p(X1)
    | big_p(X2)
    | ~ big_p(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_33]),c_0_26]),c_0_26]) ).

cnf(c_0_36,negated_conjecture,
    ( big_q(c8)
    | big_q(c14)
    | big_p(f3(X1))
    | big_p(f1(X2))
    | big_p(c9)
    | big_p(c19)
    | big_p(X1)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_34]) ).

cnf(c_0_37,negated_conjecture,
    ( big_q(c8)
    | big_q(c4)
    | big_q(c14)
    | big_p(f1(X1))
    | big_p(c9)
    | big_p(c3)
    | big_p(c19)
    | big_p(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_35]),c_0_35]),c_0_35]) ).

cnf(c_0_38,negated_conjecture,
    ( big_q(c14)
    | big_q(c4)
    | big_q(c8)
    | big_p(f1(X1))
    | big_p(c19)
    | big_p(c3)
    | big_p(c9) ),
    inference(ef,[status(thm)],[c_0_37]) ).

cnf(c_0_39,negated_conjecture,
    ( big_q(c8)
    | big_q(c4)
    | big_q(c14)
    | big_p(c9)
    | big_p(c3)
    | big_p(c19)
    | big_p(X1)
    | big_p(X2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_38]) ).

cnf(c_0_40,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c14)
    | big_q(c4)
    | big_q(c8)
    | big_q(X1)
    | big_q(X2)
    | big_q(X3)
    | big_p(c3)
    | big_p(c9)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_21]),c_0_21]) ).

cnf(c_0_41,negated_conjecture,
    ( big_q(c14)
    | big_q(c4)
    | big_q(c8)
    | big_p(c19)
    | big_p(c3)
    | big_p(c9)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_39]) ).

cnf(c_0_42,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c8)
    | big_q(c4)
    | big_q(c14)
    | big_q(X2)
    | big_q(X3)
    | big_q(X1)
    | big_p(c9)
    | big_p(c3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_40]) ).

cnf(c_0_43,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c14)
    | big_q(c4)
    | big_q(c8)
    | big_q(X1)
    | big_q(X2)
    | big_p(c3)
    | big_p(c9) ),
    inference(ef,[status(thm)],[c_0_42]) ).

cnf(c_0_44,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c8)
    | big_q(c4)
    | big_q(c14)
    | big_q(X1)
    | big_p(c9)
    | big_p(c3) ),
    inference(ef,[status(thm)],[c_0_43]) ).

cnf(c_0_45,negated_conjecture,
    ( big_q(c14)
    | big_q(c4)
    | big_q(c8)
    | big_q(X1)
    | big_q(X2)
    | big_p(f1(X3))
    | big_p(c3)
    | big_p(c9)
    | ~ big_q(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_44]),c_0_26]),c_0_26]) ).

cnf(c_0_46,negated_conjecture,
    ( big_q(c8)
    | big_q(c4)
    | big_q(c14)
    | big_q(X1)
    | big_q(X2)
    | big_p(f1(X3))
    | big_p(c9)
    | big_p(c3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_44]),c_0_45]) ).

cnf(c_0_47,negated_conjecture,
    ( big_q(c14)
    | big_q(c4)
    | big_q(c8)
    | big_p(c3)
    | big_p(c9)
    | big_p(X1)
    | ~ big_p(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_44]),c_0_26]),c_0_26]) ).

cnf(c_0_48,negated_conjecture,
    ( big_q(c14)
    | big_q(c4)
    | big_q(c8)
    | big_q(X1)
    | big_p(f1(X2))
    | big_p(c3)
    | big_p(c9) ),
    inference(ef,[status(thm)],[c_0_46]) ).

cnf(c_0_49,negated_conjecture,
    ( big_q(c8)
    | big_q(c4)
    | big_q(c14)
    | big_q(X1)
    | big_p(c9)
    | big_p(c3)
    | big_p(X2) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_50,negated_conjecture,
    ( big_q(c1)
    | big_q(c8)
    | big_p(c9)
    | big_q(X3)
    | ~ big_p(X1)
    | ~ big_p(f1(X1))
    | ~ big_p(c2)
    | ~ big_q(X2) ),
    clause_29 ).

cnf(c_0_51,negated_conjecture,
    ( big_q(c4)
    | big_q(c14)
    | big_q(c8)
    | big_p(c3)
    | big_p(c9)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_49]) ).

cnf(c_0_52,negated_conjecture,
    ( big_q(c14)
    | big_q(c4)
    | big_q(c1)
    | big_q(c8)
    | big_q(X1)
    | big_p(c3)
    | big_p(c9)
    | ~ big_q(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_26]),c_0_51]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ big_p(X1)
    | ~ big_p(f3(X1))
    | ~ big_q(X2)
    | ~ big_p(c15)
    | ~ big_q(f4(X3))
    | ~ big_q(X3)
    | ~ big_p(X4)
    | ~ big_q(c20) ),
    clause_128 ).

cnf(c_0_54,negated_conjecture,
    ( big_q(c8)
    | big_q(c1)
    | big_q(c4)
    | big_q(c14)
    | big_q(X1)
    | big_p(c9)
    | big_p(c3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_44]),c_0_52]) ).

cnf(c_0_55,negated_conjecture,
    ( big_p(c3)
    | big_q(c8)
    | big_p(c9)
    | big_q(X4)
    | ~ big_p(X1)
    | ~ big_q(X2)
    | ~ big_p(c5)
    | ~ big_q(X3) ),
    clause_61 ).

cnf(c_0_56,negated_conjecture,
    ( big_q(c14)
    | big_q(c4)
    | big_q(c1)
    | big_q(c8)
    | big_p(c3)
    | big_p(c9) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_26]),c_0_26]),c_0_26]),c_0_51]),c_0_54]),c_0_54]),c_0_54]) ).

cnf(c_0_57,negated_conjecture,
    ( big_q(c4)
    | big_q(c14)
    | big_q(c8)
    | big_q(X1)
    | big_p(c3)
    | big_p(c9)
    | ~ big_q(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_26]),c_0_51]) ).

cnf(c_0_58,negated_conjecture,
    ( big_q(c8)
    | big_q(c14)
    | big_q(c4)
    | big_q(X1)
    | big_p(c9)
    | big_p(c3) ),
    inference(spm,[status(thm)],[c_0_57,c_0_56]) ).

cnf(c_0_59,negated_conjecture,
    ( big_q(c4)
    | big_q(c14)
    | big_q(c8)
    | big_p(c3)
    | big_p(c9) ),
    inference(ef,[status(thm)],[c_0_58]) ).

cnf(c_0_60,negated_conjecture,
    ( big_p(c11)
    | big_p(X3)
    | big_q(c16)
    | big_q(X6)
    | ~ big_p(X1)
    | ~ big_q(X2)
    | ~ big_q(X4)
    | ~ big_p(X5) ),
    clause_81 ).

cnf(c_0_61,negated_conjecture,
    ( big_q(c14)
    | big_q(c8)
    | big_p(f1(X1))
    | big_p(c3)
    | big_p(c9)
    | big_p(X1)
    | big_p(X2)
    | ~ big_q(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_59]),c_0_28]) ).

cnf(c_0_62,negated_conjecture,
    ( big_q(c14)
    | big_q(c16)
    | big_p(c9)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1)
    | ~ big_q(X2)
    | ~ big_p(X3)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_59]),c_0_60]),c_0_60]) ).

cnf(c_0_63,negated_conjecture,
    ( big_q(c8)
    | big_q(c14)
    | big_p(f1(X1))
    | big_p(c9)
    | big_p(c3)
    | big_p(X2)
    | big_p(X1) ),
    inference(spm,[status(thm)],[c_0_61,c_0_59]) ).

cnf(c_0_64,negated_conjecture,
    ( big_q(c16)
    | big_q(c14)
    | big_p(c11)
    | big_p(c3)
    | big_p(c9)
    | big_p(X1)
    | ~ big_p(X2)
    | ~ big_p(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_59]),c_0_62]) ).

cnf(c_0_65,negated_conjecture,
    ( big_q(c14)
    | big_q(c8)
    | big_p(f1(X1))
    | big_p(c3)
    | big_p(c9)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_63]) ).

cnf(c_0_66,negated_conjecture,
    ( big_q(c8)
    | big_q(c14)
    | big_q(c16)
    | big_p(c9)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1)
    | ~ big_p(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_64]) ).

cnf(c_0_67,negated_conjecture,
    ( big_q(c16)
    | big_q(c14)
    | big_q(c8)
    | big_p(c11)
    | big_p(c3)
    | big_p(c9)
    | big_p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_65]),c_0_66]) ).

cnf(c_0_68,negated_conjecture,
    ( big_q(c16)
    | big_q(c8)
    | big_p(f1(X1))
    | big_p(c3)
    | big_p(c11)
    | big_p(c9)
    | big_p(X2)
    | big_p(X1)
    | big_p(X3)
    | ~ big_q(X4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_67]),c_0_28]) ).

cnf(c_0_69,negated_conjecture,
    ( big_q(c8)
    | big_q(c16)
    | big_p(f1(X1))
    | big_p(c9)
    | big_p(c11)
    | big_p(c3)
    | big_p(X2)
    | big_p(X3)
    | big_p(X1)
    | big_p(X4) ),
    inference(spm,[status(thm)],[c_0_68,c_0_67]) ).

cnf(c_0_70,negated_conjecture,
    ( big_q(c16)
    | big_q(c8)
    | big_p(f1(X1))
    | big_p(c3)
    | big_p(c11)
    | big_p(c9)
    | big_p(X2)
    | big_p(X1)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_69]) ).

cnf(c_0_71,negated_conjecture,
    ( big_q(c8)
    | big_q(c16)
    | big_p(c9)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2)
    | ~ big_q(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_67]),c_0_60]) ).

cnf(c_0_72,negated_conjecture,
    ( big_q(c8)
    | big_q(c16)
    | big_p(f1(X1))
    | big_p(c9)
    | big_p(c11)
    | big_p(c3)
    | big_p(X2)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_70]) ).

cnf(c_0_73,negated_conjecture,
    ( big_q(c16)
    | big_q(c8)
    | big_p(c11)
    | big_p(c3)
    | big_p(c9)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[c_0_71,c_0_67]) ).

cnf(c_0_74,negated_conjecture,
    ( big_q(c16)
    | big_q(c8)
    | big_p(f1(X1))
    | big_p(c3)
    | big_p(c11)
    | big_p(c9)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_72]) ).

cnf(c_0_75,negated_conjecture,
    ( big_q(c8)
    | big_q(c16)
    | big_p(c9)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_73]) ).

cnf(c_0_76,negated_conjecture,
    ( big_q(c16)
    | big_q(c8)
    | big_p(c11)
    | big_p(c3)
    | big_p(c9)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_74]),c_0_75]) ).

cnf(c_0_77,negated_conjecture,
    ( big_q(c8)
    | big_q(c16)
    | big_p(c9)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_76]) ).

cnf(c_0_78,negated_conjecture,
    ( big_q(c16)
    | big_q(c8)
    | big_p(c11)
    | big_p(c3)
    | big_p(c9)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_77]) ).

cnf(c_0_79,negated_conjecture,
    ( big_q(c8)
    | big_q(X1)
    | big_p(f1(X2))
    | big_p(c3)
    | big_p(c11)
    | big_p(c9)
    | big_p(X3)
    | big_p(X2)
    | big_p(X4)
    | ~ big_q(X5) ),
    inference(spm,[status(thm)],[c_0_28,c_0_78]) ).

cnf(c_0_80,negated_conjecture,
    ( big_q(c8)
    | big_q(X1)
    | big_p(f1(X2))
    | big_p(c9)
    | big_p(c11)
    | big_p(c3)
    | big_p(X3)
    | big_p(X4)
    | big_p(X2)
    | big_p(X5) ),
    inference(spm,[status(thm)],[c_0_79,c_0_78]) ).

cnf(c_0_81,negated_conjecture,
    ( big_q(c8)
    | big_q(X1)
    | big_p(f1(X2))
    | big_p(c3)
    | big_p(c11)
    | big_p(c9)
    | big_p(X3)
    | big_p(X2)
    | big_p(X4) ),
    inference(ef,[status(thm)],[c_0_80]) ).

cnf(c_0_82,negated_conjecture,
    ( big_q(c8)
    | big_q(X1)
    | big_p(f1(X2))
    | big_p(c9)
    | big_p(c11)
    | big_p(c3)
    | big_p(X3)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_81]) ).

cnf(c_0_83,negated_conjecture,
    ( big_p(X1)
    | big_p(f1(X1))
    | big_p(X3)
    | big_p(c6)
    | ~ big_q(X2)
    | ~ big_q(f2(X4))
    | ~ big_q(X4)
    | ~ big_q(c7) ),
    clause_4 ).

cnf(c_0_84,negated_conjecture,
    ( big_q(c8)
    | big_q(X1)
    | big_p(f1(X2))
    | big_p(c3)
    | big_p(c11)
    | big_p(c9)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_82]) ).

cnf(c_0_85,negated_conjecture,
    ( big_p(c11)
    | big_p(X3)
    | big_q(X4)
    | big_q(X6)
    | ~ big_p(X1)
    | ~ big_q(X2)
    | ~ big_q(c16)
    | ~ big_p(X5) ),
    clause_83 ).

cnf(c_0_86,negated_conjecture,
    ( big_q(c8)
    | big_p(f1(X1))
    | big_p(f1(X2))
    | big_p(c9)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_84]),c_0_84]),c_0_84]) ).

cnf(c_0_87,negated_conjecture,
    ( big_q(c8)
    | big_q(X1)
    | big_q(X2)
    | big_p(c9)
    | big_p(c3)
    | big_p(c11)
    | big_p(X3)
    | big_p(X4)
    | ~ big_q(X5)
    | ~ big_p(X6)
    | ~ big_p(X7) ),
    inference(spm,[status(thm)],[c_0_85,c_0_78]) ).

cnf(c_0_88,negated_conjecture,
    ( big_q(c8)
    | big_p(f1(X1))
    | big_p(c6)
    | big_p(c3)
    | big_p(c11)
    | big_p(c9)
    | big_p(X2)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_86]) ).

cnf(c_0_89,negated_conjecture,
    ( big_q(c8)
    | big_q(X1)
    | big_q(X2)
    | big_p(c11)
    | big_p(c3)
    | big_p(c9)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5)
    | ~ big_p(X6)
    | ~ big_p(X7) ),
    inference(spm,[status(thm)],[c_0_87,c_0_78]) ).

cnf(c_0_90,negated_conjecture,
    ( big_q(c8)
    | big_p(f1(X1))
    | big_p(c9)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_88]) ).

cnf(c_0_91,negated_conjecture,
    ( big_q(c8)
    | big_q(X1)
    | big_q(X2)
    | big_p(c6)
    | big_p(c9)
    | big_p(c3)
    | big_p(c11)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_89]),c_0_89]) ).

cnf(c_0_92,negated_conjecture,
    ( big_q(c8)
    | big_q(X1)
    | big_q(X2)
    | big_p(c11)
    | big_p(c3)
    | big_p(c9)
    | big_p(c6)
    | big_p(X3)
    | big_p(X4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_90]),c_0_91]) ).

cnf(c_0_93,negated_conjecture,
    ( big_q(c8)
    | big_q(X1)
    | big_p(c6)
    | big_p(c9)
    | big_p(c3)
    | big_p(c11)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_92]) ).

cnf(c_0_94,negated_conjecture,
    ( big_q(c8)
    | big_p(c11)
    | big_p(c3)
    | big_p(c9)
    | big_p(c6)
    | big_p(X1)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_93]) ).

cnf(c_0_95,negated_conjecture,
    ( big_p(X1)
    | big_p(f1(X1))
    | big_p(X3)
    | big_q(X4)
    | big_p(c9)
    | big_q(X5)
    | ~ big_q(X2)
    | ~ big_q(c8) ),
    clause_7 ).

cnf(c_0_96,negated_conjecture,
    ( big_q(c8)
    | big_p(c6)
    | big_p(c9)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_94]) ).

cnf(c_0_97,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(f1(X3))
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c9)
    | big_p(X4)
    | big_p(X3)
    | big_p(X5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_84]) ).

cnf(c_0_98,negated_conjecture,
    ( big_q(X1)
    | big_p(f1(X2))
    | big_p(c9)
    | big_p(c6)
    | big_p(c3)
    | big_p(c11)
    | big_p(X3)
    | big_p(X2)
    | big_p(X4) ),
    inference(ef,[status(thm)],[c_0_97]) ).

cnf(c_0_99,negated_conjecture,
    ( big_q(X1)
    | big_p(f1(X2))
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c9)
    | big_p(X3)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_98]) ).

cnf(c_0_100,negated_conjecture,
    ( big_q(X1)
    | big_p(f1(X2))
    | big_p(c9)
    | big_p(c6)
    | big_p(c3)
    | big_p(c11)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_99]) ).

cnf(c_0_101,negated_conjecture,
    ( big_q(c14)
    | big_q(c16)
    | big_q(X1)
    | big_p(c6)
    | big_p(c9)
    | big_p(c3)
    | big_p(c11)
    | ~ big_p(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_100]),c_0_64]),c_0_64]) ).

cnf(c_0_102,negated_conjecture,
    ( big_q(c16)
    | big_q(c14)
    | big_q(X1)
    | big_q(X2)
    | big_p(c11)
    | big_p(c3)
    | big_p(c9)
    | big_p(c6) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_100]),c_0_101]) ).

cnf(c_0_103,negated_conjecture,
    ( big_q(c14)
    | big_q(c16)
    | big_q(X1)
    | big_p(c6)
    | big_p(c9)
    | big_p(c3)
    | big_p(c11) ),
    inference(ef,[status(thm)],[c_0_102]) ).

cnf(c_0_104,negated_conjecture,
    ( big_q(c14)
    | big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c9)
    | big_p(c6) ),
    inference(ef,[status(thm)],[c_0_103]) ).

cnf(c_0_105,negated_conjecture,
    ( big_p(f1(X1))
    | big_p(f1(X2))
    | big_p(c11)
    | big_p(c3)
    | big_p(c9)
    | big_p(c6)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_100]),c_0_100]),c_0_100]),c_0_100]) ).

cnf(c_0_106,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c6)
    | big_p(c9)
    | big_p(c3)
    | big_p(c11)
    | big_p(X2)
    | ~ big_q(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[c_0_60,c_0_104]) ).

cnf(c_0_107,negated_conjecture,
    ( big_p(f1(X1))
    | big_p(c6)
    | big_p(c9)
    | big_p(c3)
    | big_p(c11)
    | big_p(X2)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_105]) ).

cnf(c_0_108,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c11)
    | big_p(c3)
    | big_p(c9)
    | big_p(c6)
    | big_p(X2)
    | ~ big_p(X3)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_104]) ).

cnf(c_0_109,negated_conjecture,
    ( big_p(f1(X1))
    | big_p(c11)
    | big_p(c3)
    | big_p(c9)
    | big_p(c6)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_107]) ).

cnf(c_0_110,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c6)
    | big_p(c9)
    | big_p(c3)
    | big_p(c11)
    | big_p(X2)
    | ~ big_p(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_108]) ).

cnf(c_0_111,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c11)
    | big_p(c3)
    | big_p(c9)
    | big_p(c6)
    | big_p(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_109]),c_0_110]) ).

cnf(c_0_112,negated_conjecture,
    ( big_q(c16)
    | big_p(c6)
    | big_p(c9)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_111]) ).

cnf(c_0_113,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c3)
    | big_p(c9)
    | big_p(c6)
    | big_p(c11)
    | big_p(X3)
    | big_p(X4)
    | ~ big_q(X5)
    | ~ big_p(X6)
    | ~ big_p(X7) ),
    inference(spm,[status(thm)],[c_0_85,c_0_112]) ).

cnf(c_0_114,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c11)
    | big_p(c6)
    | big_p(c9)
    | big_p(c3)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5)
    | ~ big_p(X6)
    | ~ big_p(X7) ),
    inference(spm,[status(thm)],[c_0_113,c_0_112]) ).

cnf(c_0_115,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c3)
    | big_p(c9)
    | big_p(c6)
    | big_p(c11)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_109]),c_0_114]) ).

cnf(c_0_116,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c11)
    | big_p(c6)
    | big_p(c9)
    | big_p(c3)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_109]),c_0_115]) ).

cnf(c_0_117,negated_conjecture,
    ( big_q(X1)
    | big_p(c3)
    | big_p(c9)
    | big_p(c6)
    | big_p(c11)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4) ),
    inference(ef,[status(thm)],[c_0_116]) ).

cnf(c_0_118,negated_conjecture,
    ( big_q(X1)
    | big_p(c11)
    | big_p(c6)
    | big_p(c9)
    | big_p(c3)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_117]) ).

cnf(c_0_119,negated_conjecture,
    ( big_p(c11)
    | big_p(X3)
    | ~ big_p(X1)
    | ~ big_q(X2)
    | ~ big_q(f4(X4))
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_q(c20) ),
    clause_88 ).

cnf(c_0_120,negated_conjecture,
    ( big_q(X1)
    | big_p(c3)
    | big_p(c9)
    | big_p(c6)
    | big_p(c11)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_118]) ).

cnf(c_0_121,negated_conjecture,
    ( big_p(c6)
    | big_p(c9)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2)
    | ~ big_p(X3)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_120]),c_0_120]),c_0_120]) ).

cnf(c_0_122,negated_conjecture,
    ( big_p(c11)
    | big_p(c3)
    | big_p(c9)
    | big_p(c6)
    | big_p(X1)
    | big_p(X2)
    | ~ big_p(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_109]),c_0_121]) ).

cnf(c_0_123,negated_conjecture,
    ( big_p(c6)
    | big_p(c9)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_109]),c_0_122]) ).

cnf(c_0_124,negated_conjecture,
    ( big_p(c6)
    | big_p(c11)
    | big_p(c3)
    | big_p(c9)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_123]) ).

cnf(c_0_125,negated_conjecture,
    ( big_p(c6)
    | big_p(c9)
    | big_p(c3)
    | big_p(c11) ),
    inference(ef,[status(thm)],[c_0_124]) ).

cnf(c_0_126,negated_conjecture,
    ( big_q(c14)
    | big_q(c16)
    | big_p(c9)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1)
    | ~ big_p(X2) ),
    inference(spm,[status(thm)],[c_0_64,c_0_125]) ).

cnf(c_0_127,negated_conjecture,
    ( big_q(c16)
    | big_q(c14)
    | big_p(c11)
    | big_p(c3)
    | big_p(c9)
    | big_p(X1) ),
    inference(spm,[status(thm)],[c_0_126,c_0_125]) ).

cnf(c_0_128,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c9)
    | big_p(c3)
    | big_p(c11)
    | big_p(X2)
    | big_p(X3)
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[c_0_60,c_0_127]) ).

cnf(c_0_129,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c11)
    | big_p(c3)
    | big_p(c9)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[c_0_128,c_0_127]) ).

cnf(c_0_130,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c9)
    | big_p(c3)
    | big_p(c11)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[c_0_129,c_0_125]) ).

cnf(c_0_131,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c11)
    | big_p(c3)
    | big_p(c9)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4) ),
    inference(spm,[status(thm)],[c_0_130,c_0_125]) ).

cnf(c_0_132,negated_conjecture,
    ( big_q(c16)
    | big_p(c9)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_131]) ).

cnf(c_0_133,negated_conjecture,
    ( big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c9)
    | big_p(X1)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_132]) ).

cnf(c_0_134,negated_conjecture,
    ( big_q(c16)
    | big_p(c9)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_133]) ).

cnf(c_0_135,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c3)
    | big_p(c9)
    | big_p(c11)
    | big_p(X3)
    | big_p(X4)
    | ~ big_q(X5)
    | ~ big_p(X6)
    | ~ big_p(X7) ),
    inference(spm,[status(thm)],[c_0_85,c_0_134]) ).

cnf(c_0_136,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c11)
    | big_p(c9)
    | big_p(c3)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5)
    | ~ big_p(X6)
    | ~ big_p(X7) ),
    inference(spm,[status(thm)],[c_0_135,c_0_134]) ).

cnf(c_0_137,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c3)
    | big_p(c9)
    | big_p(c11)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[c_0_136,c_0_125]) ).

cnf(c_0_138,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c11)
    | big_p(c9)
    | big_p(c3)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5) ),
    inference(spm,[status(thm)],[c_0_137,c_0_125]) ).

cnf(c_0_139,negated_conjecture,
    ( big_q(X1)
    | big_p(c3)
    | big_p(c9)
    | big_p(c11)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4) ),
    inference(ef,[status(thm)],[c_0_138]) ).

cnf(c_0_140,negated_conjecture,
    ( big_q(X1)
    | big_p(c11)
    | big_p(c9)
    | big_p(c3)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_139]) ).

cnf(c_0_141,negated_conjecture,
    ( big_q(X1)
    | big_p(c3)
    | big_p(c9)
    | big_p(c11)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_140]) ).

cnf(c_0_142,negated_conjecture,
    ( big_p(c9)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2)
    | ~ big_p(X3)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_141]),c_0_141]),c_0_141]),c_0_141]) ).

cnf(c_0_143,negated_conjecture,
    ( big_p(c11)
    | big_p(c3)
    | big_p(c9)
    | big_p(X1)
    | big_p(X2)
    | ~ big_p(X3) ),
    inference(spm,[status(thm)],[c_0_142,c_0_125]) ).

cnf(c_0_144,negated_conjecture,
    ( big_p(c9)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2) ),
    inference(spm,[status(thm)],[c_0_143,c_0_125]) ).

cnf(c_0_145,negated_conjecture,
    ( big_p(c9)
    | big_p(c11)
    | big_p(c3)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_144]) ).

cnf(c_0_146,negated_conjecture,
    ( big_p(c9)
    | big_p(c3)
    | big_p(c11) ),
    inference(ef,[status(thm)],[c_0_145]) ).

cnf(c_0_147,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c4)
    | big_q(X1)
    | big_q(X2)
    | big_p(c11)
    | big_p(c3)
    | ~ big_p(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_146]),c_0_21]) ).

cnf(c_0_148,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c4)
    | big_q(X2)
    | big_q(X1)
    | big_p(c3)
    | big_p(c11) ),
    inference(spm,[status(thm)],[c_0_147,c_0_146]) ).

cnf(c_0_149,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c4)
    | big_q(X1)
    | big_p(c11)
    | big_p(c3) ),
    inference(ef,[status(thm)],[c_0_148]) ).

cnf(c_0_150,negated_conjecture,
    ( big_q(c4)
    | big_q(c16)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1)
    | ~ big_q(X2)
    | ~ big_p(X3)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_149]),c_0_60]),c_0_60]) ).

cnf(c_0_151,negated_conjecture,
    ( big_q(c16)
    | big_q(c4)
    | big_p(c11)
    | big_p(c3)
    | big_p(X1)
    | ~ big_p(X2)
    | ~ big_p(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_149]),c_0_150]) ).

cnf(c_0_152,negated_conjecture,
    ( big_q(c4)
    | big_q(c16)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1)
    | ~ big_p(X2) ),
    inference(spm,[status(thm)],[c_0_151,c_0_146]) ).

cnf(c_0_153,negated_conjecture,
    ( big_q(c16)
    | big_q(c4)
    | big_p(c11)
    | big_p(c3)
    | big_p(X1) ),
    inference(spm,[status(thm)],[c_0_152,c_0_146]) ).

cnf(c_0_154,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c3)
    | big_p(c11)
    | big_p(X2)
    | big_p(X3)
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[c_0_60,c_0_153]) ).

cnf(c_0_155,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c11)
    | big_p(c3)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[c_0_154,c_0_153]) ).

cnf(c_0_156,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c3)
    | big_p(c11)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[c_0_155,c_0_146]) ).

cnf(c_0_157,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c11)
    | big_p(c3)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4) ),
    inference(spm,[status(thm)],[c_0_156,c_0_146]) ).

cnf(c_0_158,negated_conjecture,
    ( big_q(c16)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_157]) ).

cnf(c_0_159,negated_conjecture,
    ( big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(X1)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_158]) ).

cnf(c_0_160,negated_conjecture,
    ( big_q(c16)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_159]) ).

cnf(c_0_161,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c3)
    | big_p(c11)
    | big_p(X3)
    | big_p(X4)
    | ~ big_q(X5)
    | ~ big_p(X6)
    | ~ big_p(X7) ),
    inference(spm,[status(thm)],[c_0_85,c_0_160]) ).

cnf(c_0_162,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c11)
    | big_p(c3)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5)
    | ~ big_p(X6)
    | ~ big_p(X7) ),
    inference(spm,[status(thm)],[c_0_161,c_0_160]) ).

cnf(c_0_163,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c3)
    | big_p(c11)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[c_0_162,c_0_146]) ).

cnf(c_0_164,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c11)
    | big_p(c3)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5) ),
    inference(spm,[status(thm)],[c_0_163,c_0_146]) ).

cnf(c_0_165,negated_conjecture,
    ( big_q(X1)
    | big_p(c3)
    | big_p(c11)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4) ),
    inference(ef,[status(thm)],[c_0_164]) ).

cnf(c_0_166,negated_conjecture,
    ( big_q(X1)
    | big_p(c11)
    | big_p(c3)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_165]) ).

cnf(c_0_167,negated_conjecture,
    ( big_q(X1)
    | big_p(c3)
    | big_p(c11)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_166]) ).

cnf(c_0_168,negated_conjecture,
    ( big_p(c3)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2)
    | ~ big_p(X3)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_167]),c_0_167]),c_0_167]),c_0_167]) ).

cnf(c_0_169,negated_conjecture,
    ( big_p(c11)
    | big_p(c3)
    | big_p(X1)
    | big_p(X2)
    | ~ big_p(X3) ),
    inference(spm,[status(thm)],[c_0_168,c_0_146]) ).

cnf(c_0_170,negated_conjecture,
    ( big_p(c3)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2) ),
    inference(spm,[status(thm)],[c_0_169,c_0_146]) ).

cnf(c_0_171,negated_conjecture,
    ( big_p(c11)
    | big_p(c3)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_170]) ).

cnf(c_0_172,negated_conjecture,
    ( big_p(c11)
    | big_p(c3) ),
    inference(ef,[status(thm)],[c_0_171]) ).

cnf(c_0_173,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c4)
    | big_q(X1)
    | big_q(X2)
    | big_p(c3)
    | big_p(X3)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[c_0_21,c_0_172]) ).

cnf(c_0_174,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c4)
    | big_q(X2)
    | big_q(X1)
    | big_p(c3)
    | big_p(X3) ),
    inference(spm,[status(thm)],[c_0_173,c_0_172]) ).

cnf(c_0_175,negated_conjecture,
    ( big_q(c1)
    | big_q(f2(X2))
    | big_q(X2)
    | big_q(X4)
    | ~ big_p(X1)
    | ~ big_p(f1(X1))
    | ~ big_p(c2)
    | ~ big_p(X3) ),
    clause_25 ).

cnf(c_0_176,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c4)
    | big_q(X1)
    | big_p(c3)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_174]) ).

cnf(c_0_177,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(f2(X2))
    | big_q(c4)
    | big_q(c1)
    | big_q(X1)
    | big_q(X2)
    | big_q(X3)
    | big_p(c3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_176]),c_0_176]),c_0_176]) ).

cnf(c_0_178,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c1)
    | big_q(c4)
    | big_q(X2)
    | big_q(X1)
    | big_p(c3) ),
    inference(ef,[status(thm)],[c_0_177]) ).

cnf(c_0_179,negated_conjecture,
    ( big_p(X1)
    | big_p(X3)
    | big_q(c16)
    | big_q(X6)
    | ~ big_p(c11)
    | ~ big_q(X2)
    | ~ big_q(X4)
    | ~ big_p(X5) ),
    clause_65 ).

cnf(c_0_180,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c4)
    | big_q(c1)
    | big_q(X1)
    | big_p(c3) ),
    inference(ef,[status(thm)],[c_0_178]) ).

cnf(c_0_181,negated_conjecture,
    ( big_q(c4)
    | big_q(c16)
    | big_q(X1)
    | big_q(X2)
    | big_p(c3)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5)
    | ~ big_q(X6)
    | ~ big_p(X7) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_176]),c_0_172]) ).

cnf(c_0_182,negated_conjecture,
    ( big_q(c1)
    | big_q(c4)
    | big_q(c16)
    | big_q(X1)
    | big_q(X2)
    | big_p(c3)
    | big_p(X3)
    | big_p(X4)
    | ~ big_q(X5) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_181]),c_0_172]) ).

cnf(c_0_183,negated_conjecture,
    ( big_q(c1)
    | big_q(c16)
    | big_q(c4)
    | big_q(X1)
    | big_p(c3)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_180]),c_0_182]),c_0_181]) ).

cnf(c_0_184,negated_conjecture,
    ( big_q(c4)
    | big_q(c16)
    | big_q(c1)
    | big_q(X1)
    | big_p(c3)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4) ),
    inference(spm,[status(thm)],[c_0_183,c_0_172]) ).

cnf(c_0_185,negated_conjecture,
    ( big_q(c1)
    | big_q(c16)
    | big_q(c4)
    | big_p(c3)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_184]) ).

cnf(c_0_186,negated_conjecture,
    ( big_q(c4)
    | big_q(c16)
    | big_q(c1)
    | big_p(c3)
    | big_p(X1)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_185]) ).

cnf(c_0_187,negated_conjecture,
    ( big_q(c16)
    | big_q(X5)
    | ~ big_p(X1)
    | ~ big_p(f3(X1))
    | ~ big_q(X2)
    | ~ big_p(c15)
    | ~ big_q(X3)
    | ~ big_p(X4) ),
    clause_121 ).

cnf(c_0_188,negated_conjecture,
    ( big_q(c1)
    | big_q(c16)
    | big_q(c4)
    | big_p(c3)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_186]) ).

cnf(c_0_189,negated_conjecture,
    ( big_q(c4)
    | big_q(c1)
    | big_q(c16)
    | big_q(X1)
    | big_p(c3)
    | ~ big_q(X2)
    | ~ big_q(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_188]),c_0_188]),c_0_188]) ).

cnf(c_0_190,negated_conjecture,
    ( big_q(c16)
    | big_q(c1)
    | big_q(c4)
    | big_q(X1)
    | big_p(c3)
    | ~ big_q(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_180]),c_0_189]) ).

cnf(c_0_191,negated_conjecture,
    ( big_q(c4)
    | big_q(c1)
    | big_q(c16)
    | big_q(X1)
    | big_p(c3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_180]),c_0_190]) ).

cnf(c_0_192,negated_conjecture,
    ( big_q(c1)
    | big_q(c16)
    | big_q(c4)
    | big_p(c3) ),
    inference(ef,[status(thm)],[c_0_191]) ).

cnf(c_0_193,negated_conjecture,
    ( big_q(c4)
    | big_q(c16)
    | big_q(X1)
    | big_p(c3)
    | big_p(X2)
    | big_p(X3)
    | ~ big_q(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_192]),c_0_172]) ).

cnf(c_0_194,negated_conjecture,
    ( big_q(c16)
    | big_q(c4)
    | big_q(X1)
    | big_p(c3)
    | big_p(X2)
    | big_p(X3)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[c_0_193,c_0_192]) ).

cnf(c_0_195,negated_conjecture,
    ( big_q(c4)
    | big_q(c16)
    | big_q(X1)
    | big_p(c3)
    | big_p(X2)
    | big_p(X3) ),
    inference(spm,[status(thm)],[c_0_194,c_0_172]) ).

cnf(c_0_196,negated_conjecture,
    ( big_q(c4)
    | big_q(c16)
    | big_p(c3)
    | big_p(X1)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_195]) ).

cnf(c_0_197,negated_conjecture,
    ( big_q(c16)
    | big_q(c4)
    | big_p(c3)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_196]) ).

cnf(c_0_198,negated_conjecture,
    ( big_q(c4)
    | big_q(c16)
    | big_q(X1)
    | big_p(c3)
    | ~ big_q(X2)
    | ~ big_q(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_197]),c_0_197]),c_0_197]),c_0_197]) ).

cnf(c_0_199,negated_conjecture,
    ( big_q(c16)
    | big_q(c4)
    | big_q(X1)
    | big_p(c3)
    | ~ big_q(X2) ),
    inference(spm,[status(thm)],[c_0_198,c_0_192]) ).

cnf(c_0_200,negated_conjecture,
    ( big_q(c4)
    | big_q(c16)
    | big_q(X1)
    | big_p(c3) ),
    inference(spm,[status(thm)],[c_0_199,c_0_192]) ).

cnf(c_0_201,negated_conjecture,
    ( big_q(c4)
    | big_q(c16)
    | big_p(c3) ),
    inference(ef,[status(thm)],[c_0_200]) ).

cnf(c_0_202,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c3)
    | big_p(X2)
    | big_p(X3)
    | ~ big_q(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_201]),c_0_172]) ).

cnf(c_0_203,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c3)
    | big_p(X2)
    | big_p(X3)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[c_0_202,c_0_201]) ).

cnf(c_0_204,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c3)
    | big_p(X2)
    | big_p(X3) ),
    inference(spm,[status(thm)],[c_0_203,c_0_172]) ).

cnf(c_0_205,negated_conjecture,
    ( big_q(c16)
    | big_p(c3)
    | big_p(X1)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_204]) ).

cnf(c_0_206,negated_conjecture,
    ( big_q(c16)
    | big_p(c3)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_205]) ).

cnf(c_0_207,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c3)
    | ~ big_q(X2)
    | ~ big_q(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_206]),c_0_206]),c_0_206]),c_0_206]) ).

cnf(c_0_208,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c3)
    | ~ big_q(X2) ),
    inference(spm,[status(thm)],[c_0_207,c_0_201]) ).

cnf(c_0_209,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c3) ),
    inference(spm,[status(thm)],[c_0_208,c_0_201]) ).

cnf(c_0_210,negated_conjecture,
    ( big_p(X1)
    | big_p(X3)
    | big_q(X4)
    | big_q(X6)
    | ~ big_p(c11)
    | ~ big_q(X2)
    | ~ big_q(c16)
    | ~ big_p(X5) ),
    clause_67 ).

cnf(c_0_211,negated_conjecture,
    ( big_q(c16)
    | big_p(c3) ),
    inference(ef,[status(thm)],[c_0_209]) ).

cnf(c_0_212,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c3)
    | big_p(X3)
    | big_p(X4)
    | ~ big_q(X5)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_172]) ).

cnf(c_0_213,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c3)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[c_0_212,c_0_211]) ).

cnf(c_0_214,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c3)
    | big_p(X3)
    | big_p(X4) ),
    inference(spm,[status(thm)],[c_0_213,c_0_172]) ).

cnf(c_0_215,negated_conjecture,
    ( big_q(X1)
    | big_p(c3)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_214]) ).

cnf(c_0_216,negated_conjecture,
    ( big_q(X3)
    | big_q(X5)
    | ~ big_p(X1)
    | ~ big_p(f3(X1))
    | ~ big_q(X2)
    | ~ big_p(c15)
    | ~ big_q(c16)
    | ~ big_p(X4) ),
    clause_123 ).

cnf(c_0_217,negated_conjecture,
    ( big_q(X1)
    | big_p(c3)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_215]) ).

cnf(c_0_218,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_q(X3)
    | big_p(c3)
    | ~ big_q(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_217]),c_0_217]),c_0_217]),c_0_211]) ).

cnf(c_0_219,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_q(X3)
    | big_p(c3) ),
    inference(spm,[status(thm)],[c_0_218,c_0_211]) ).

cnf(c_0_220,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c3) ),
    inference(ef,[status(thm)],[c_0_219]) ).

cnf(c_0_221,negated_conjecture,
    ( big_p(X1)
    | big_p(X3)
    | ~ big_p(c11)
    | ~ big_q(X2)
    | ~ big_q(f4(X4))
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_q(c20) ),
    clause_72 ).

cnf(c_0_222,negated_conjecture,
    ( big_q(X1)
    | big_p(c3) ),
    inference(ef,[status(thm)],[c_0_220]) ).

cnf(c_0_223,negated_conjecture,
    ( big_p(c3)
    | big_p(X1)
    | big_p(X2)
    | ~ big_p(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_172]),c_0_222]),c_0_222]),c_0_222]) ).

cnf(c_0_224,negated_conjecture,
    ( big_p(c3)
    | big_p(X1)
    | big_p(X2) ),
    inference(spm,[status(thm)],[c_0_223,c_0_172]) ).

cnf(c_0_225,negated_conjecture,
    ( big_p(c3)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_224]) ).

cnf(c_0_226,negated_conjecture,
    ( big_p(X1)
    | big_q(c4)
    | big_p(X2)
    | big_q(f2(X3))
    | big_q(X3)
    | big_q(X5)
    | ~ big_p(c3)
    | ~ big_p(X4) ),
    clause_33 ).

cnf(c_0_227,negated_conjecture,
    big_p(c3),
    inference(ef,[status(thm)],[c_0_225]) ).

cnf(c_0_228,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c4)
    | big_q(X1)
    | big_q(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_227])]) ).

cnf(c_0_229,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c4)
    | big_q(X2)
    | big_q(X1)
    | big_p(X3)
    | big_p(X4) ),
    inference(spm,[status(thm)],[c_0_228,c_0_227]) ).

cnf(c_0_230,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c4)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_229]) ).

cnf(c_0_231,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c4)
    | big_q(X1)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_230]) ).

cnf(c_0_232,negated_conjecture,
    ( big_q(c4)
    | big_q(c16)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2)
    | ~ big_q(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_231]),c_0_60]),c_0_60]) ).

cnf(c_0_233,negated_conjecture,
    ( big_q(c16)
    | big_q(c4)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_231]),c_0_232]) ).

cnf(c_0_234,negated_conjecture,
    ( big_q(c4)
    | big_q(c16)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[c_0_233,c_0_227]) ).

cnf(c_0_235,negated_conjecture,
    ( big_q(c16)
    | big_q(c4)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3) ),
    inference(spm,[status(thm)],[c_0_234,c_0_227]) ).

cnf(c_0_236,negated_conjecture,
    ( big_q(c4)
    | big_q(c16)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_235]) ).

cnf(c_0_237,negated_conjecture,
    ( big_q(c16)
    | big_q(c4)
    | big_p(c11)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_236]) ).

cnf(c_0_238,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c11)
    | big_p(X2)
    | big_p(X3)
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[c_0_60,c_0_237]) ).

cnf(c_0_239,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c11)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[c_0_238,c_0_237]) ).

cnf(c_0_240,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c11)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[c_0_239,c_0_227]) ).

cnf(c_0_241,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c11)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4) ),
    inference(spm,[status(thm)],[c_0_240,c_0_227]) ).

cnf(c_0_242,negated_conjecture,
    ( big_q(c16)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_241]) ).

cnf(c_0_243,negated_conjecture,
    ( big_q(c16)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_242]) ).

cnf(c_0_244,negated_conjecture,
    ( big_q(c16)
    | big_p(c11)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_243]) ).

cnf(c_0_245,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c16)
    | big_q(c1)
    | big_q(X1)
    | big_q(X2)
    | big_p(c11) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_244]),c_0_244]),c_0_244]),c_0_244]) ).

cnf(c_0_246,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c11)
    | ~ big_q(X2)
    | ~ big_q(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_244]),c_0_244]),c_0_244]),c_0_244]) ).

cnf(c_0_247,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c1)
    | big_q(c16)
    | big_q(X1)
    | big_p(c11) ),
    inference(ef,[status(thm)],[c_0_245]) ).

cnf(c_0_248,negated_conjecture,
    ( big_q(c1)
    | big_q(c16)
    | big_p(c11)
    | ~ big_q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_246]),c_0_246]) ).

cnf(c_0_249,negated_conjecture,
    ( big_q(c16)
    | big_q(c1)
    | big_p(c11) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_247]),c_0_248]) ).

cnf(c_0_250,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c11)
    | ~ big_q(X2) ),
    inference(spm,[status(thm)],[c_0_246,c_0_249]) ).

cnf(c_0_251,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c11) ),
    inference(spm,[status(thm)],[c_0_250,c_0_249]) ).

cnf(c_0_252,negated_conjecture,
    ( big_q(c16)
    | big_p(c11) ),
    inference(ef,[status(thm)],[c_0_251]) ).

cnf(c_0_253,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c11)
    | big_p(X3)
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[c_0_85,c_0_252]) ).

cnf(c_0_254,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c11)
    | big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[c_0_253,c_0_252]) ).

cnf(c_0_255,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c11)
    | big_p(X3)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[c_0_254,c_0_227]) ).

cnf(c_0_256,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c11)
    | big_p(X3) ),
    inference(spm,[status(thm)],[c_0_255,c_0_227]) ).

cnf(c_0_257,negated_conjecture,
    ( big_q(X1)
    | big_p(c11)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_256]) ).

cnf(c_0_258,negated_conjecture,
    ( big_p(c11)
    | big_p(X1)
    | big_p(X2)
    | ~ big_p(X3)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_257]),c_0_257]),c_0_257]),c_0_257]) ).

cnf(c_0_259,negated_conjecture,
    ( big_p(c11)
    | big_p(X1)
    | big_p(X2)
    | ~ big_p(X3) ),
    inference(spm,[status(thm)],[c_0_258,c_0_227]) ).

cnf(c_0_260,negated_conjecture,
    ( big_q(c4)
    | big_q(c16)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3)
    | ~ big_q(X4)
    | ~ big_p(c11)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_231]),c_0_179]),c_0_179]) ).

cnf(c_0_261,negated_conjecture,
    ( big_p(c11)
    | big_p(X1)
    | big_p(X2) ),
    inference(spm,[status(thm)],[c_0_259,c_0_227]) ).

cnf(c_0_262,negated_conjecture,
    ( big_q(c16)
    | big_q(c4)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(c11)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_231]),c_0_260]) ).

cnf(c_0_263,negated_conjecture,
    ( big_p(c11)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_261]) ).

cnf(c_0_264,negated_conjecture,
    ( big_q(c4)
    | big_q(c16)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(c11) ),
    inference(spm,[status(thm)],[c_0_262,c_0_227]) ).

cnf(c_0_265,negated_conjecture,
    big_p(c11),
    inference(ef,[status(thm)],[c_0_263]) ).

cnf(c_0_266,negated_conjecture,
    ( big_q(c16)
    | big_q(c4)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_264,c_0_265])]) ).

cnf(c_0_267,negated_conjecture,
    ( big_q(c4)
    | big_q(c16)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_266]) ).

cnf(c_0_268,negated_conjecture,
    ( big_q(c16)
    | big_q(c4)
    | big_p(X1)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_267]) ).

cnf(c_0_269,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | ~ big_q(X4)
    | ~ big_q(X5)
    | ~ big_p(X6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_265])]) ).

cnf(c_0_270,negated_conjecture,
    ( big_q(c4)
    | big_q(c16)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_268]) ).

cnf(c_0_271,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_q(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[c_0_269,c_0_270]) ).

cnf(c_0_272,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[c_0_271,c_0_270]) ).

cnf(c_0_273,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5) ),
    inference(spm,[status(thm)],[c_0_272,c_0_265]) ).

cnf(c_0_274,negated_conjecture,
    ( big_q(c16)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4) ),
    inference(ef,[status(thm)],[c_0_273]) ).

cnf(c_0_275,negated_conjecture,
    ( big_q(c16)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_274]) ).

cnf(c_0_276,negated_conjecture,
    ( big_q(c16)
    | big_p(X1)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_275]) ).

cnf(c_0_277,negated_conjecture,
    ( big_q(c16)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_276]) ).

cnf(c_0_278,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c16)
    | big_q(c1)
    | big_q(X1)
    | big_q(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_277]),c_0_277]),c_0_277]),c_0_277]) ).

cnf(c_0_279,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | ~ big_q(X2)
    | ~ big_q(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_277]),c_0_277]),c_0_277]),c_0_277]) ).

cnf(c_0_280,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c1)
    | big_q(c16)
    | big_q(X1) ),
    inference(ef,[status(thm)],[c_0_278]) ).

cnf(c_0_281,negated_conjecture,
    ( big_q(c1)
    | big_q(c16)
    | ~ big_q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_279]),c_0_279]) ).

cnf(c_0_282,negated_conjecture,
    ( big_q(c16)
    | big_q(c1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_280]),c_0_281]) ).

cnf(c_0_283,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | ~ big_q(X2) ),
    inference(spm,[status(thm)],[c_0_279,c_0_282]) ).

cnf(c_0_284,negated_conjecture,
    ( big_q(c16)
    | big_q(X1) ),
    inference(spm,[status(thm)],[c_0_283,c_0_282]) ).

cnf(c_0_285,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_q(c16)
    | ~ big_q(X5)
    | ~ big_p(X6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_265])]) ).

cnf(c_0_286,negated_conjecture,
    big_q(c16),
    inference(ef,[status(thm)],[c_0_284]) ).

cnf(c_0_287,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_q(X5)
    | ~ big_p(X6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_285,c_0_286])]) ).

cnf(c_0_288,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[c_0_287,c_0_286]) ).

cnf(c_0_289,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(X3)
    | big_p(X4) ),
    inference(spm,[status(thm)],[c_0_288,c_0_265]) ).

cnf(c_0_290,negated_conjecture,
    ( big_q(X1)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_289]) ).

cnf(c_0_291,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | ~ big_q(X3)
    | ~ big_p(f3(X4))
    | ~ big_p(c15)
    | ~ big_p(X5)
    | ~ big_p(X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_216,c_0_286])]) ).

cnf(c_0_292,negated_conjecture,
    ( big_q(X1)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_290]) ).

cnf(c_0_293,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_q(X3)
    | ~ big_q(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_292]),c_0_292]),c_0_292]),c_0_292]) ).

cnf(c_0_294,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_q(X3) ),
    inference(spm,[status(thm)],[c_0_293,c_0_286]) ).

cnf(c_0_295,negated_conjecture,
    ( big_q(X1)
    | big_q(X2) ),
    inference(ef,[status(thm)],[c_0_294]) ).

cnf(c_0_296,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | ~ big_q(f4(X3))
    | ~ big_q(c20)
    | ~ big_q(X3)
    | ~ big_q(X4)
    | ~ big_p(X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_221,c_0_265])]) ).

cnf(c_0_297,negated_conjecture,
    big_q(X1),
    inference(ef,[status(thm)],[c_0_295]) ).

cnf(c_0_298,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | ~ big_p(X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_296,c_0_297]),c_0_297]),c_0_297]),c_0_297])]) ).

cnf(c_0_299,negated_conjecture,
    ( big_p(X1)
    | big_p(X2) ),
    inference(spm,[status(thm)],[c_0_298,c_0_265]) ).

cnf(c_0_300,negated_conjecture,
    ( ~ big_p(f3(X1))
    | ~ big_p(c15)
    | ~ big_p(X2)
    | ~ big_p(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_297]),c_0_297]),c_0_297]),c_0_297])]) ).

cnf(c_0_301,negated_conjecture,
    big_p(X1),
    inference(ef,[status(thm)],[c_0_299]) ).

cnf(c_0_302,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_300,c_0_301]),c_0_301]),c_0_301]),c_0_301])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SYN036-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.10  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.10/0.31  % Computer : n012.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Sat Aug 26 17:26:55 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.16/0.55  start to proof: theBenchmark
% 2.51/2.63  % Version  : CSE_E---1.5
% 2.51/2.63  % Problem  : theBenchmark.p
% 2.51/2.63  % Proof found
% 2.51/2.63  % SZS status Theorem for theBenchmark.p
% 2.51/2.63  % SZS output start Proof
% See solution above
% 2.58/2.65  % Total time : 2.077000 s
% 2.58/2.65  % SZS output end Proof
% 2.58/2.65  % Total time : 2.083000 s
%------------------------------------------------------------------------------