TSTP Solution File: SYN100-1.005 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN100-1.005 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n006.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 01:50:06 EDT 2023
% Result : Unsatisfiable 0.20s 0.63s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 63
% Syntax : Number of formulae : 96 ( 21 unt; 45 typ; 0 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 118 ( 60 ~; 58 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 44 ( 44 >; 0 *; 0 +; 0 <<)
% Number of predicates : 45 ( 44 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 30 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p_0: $i > $o ).
tff(decl_23,type,
q_0: $i > $o ).
tff(decl_24,type,
p_1: $i > $o ).
tff(decl_25,type,
p_2: $i > $o ).
tff(decl_26,type,
q_1: $i > $o ).
tff(decl_27,type,
q_2: $i > $o ).
tff(decl_28,type,
p_3: $i > $o ).
tff(decl_29,type,
q_3: $i > $o ).
tff(decl_30,type,
p_4: $i > $o ).
tff(decl_31,type,
q_4: $i > $o ).
tff(decl_32,type,
p_5: $i > $o ).
tff(decl_33,type,
q_5: $i > $o ).
tff(decl_34,type,
p_6: $i > $o ).
tff(decl_35,type,
q_6: $i > $o ).
tff(decl_36,type,
p_7: $i > $o ).
tff(decl_37,type,
q_7: $i > $o ).
tff(decl_38,type,
p_8: $i > $o ).
tff(decl_39,type,
q_8: $i > $o ).
tff(decl_40,type,
p_9: $i > $o ).
tff(decl_41,type,
q_9: $i > $o ).
tff(decl_42,type,
p_10: $i > $o ).
tff(decl_43,type,
q_10: $i > $o ).
tff(decl_44,type,
a: $i ).
tff(decl_45,type,
sym_p_0: $i > $o ).
tff(decl_46,type,
sym_q_0: $i > $o ).
tff(decl_47,type,
sym_p_1: $i > $o ).
tff(decl_48,type,
sym_p_2: $i > $o ).
tff(decl_49,type,
sym_q_1: $i > $o ).
tff(decl_50,type,
sym_q_2: $i > $o ).
tff(decl_51,type,
sym_p_3: $i > $o ).
tff(decl_52,type,
sym_q_3: $i > $o ).
tff(decl_53,type,
sym_p_4: $i > $o ).
tff(decl_54,type,
sym_q_4: $i > $o ).
tff(decl_55,type,
sym_p_5: $i > $o ).
tff(decl_56,type,
sym_q_5: $i > $o ).
tff(decl_57,type,
sym_p_6: $i > $o ).
tff(decl_58,type,
sym_q_6: $i > $o ).
tff(decl_59,type,
sym_p_7: $i > $o ).
tff(decl_60,type,
sym_q_7: $i > $o ).
tff(decl_61,type,
sym_p_8: $i > $o ).
tff(decl_62,type,
sym_q_8: $i > $o ).
tff(decl_63,type,
sym_p_9: $i > $o ).
tff(decl_64,type,
sym_q_9: $i > $o ).
tff(decl_65,type,
sym_p_10: $i > $o ).
tff(decl_66,type,
sym_q_10: $i > $o ).
cnf(m_s3_type11_15,axiom,
( p_7(X1)
| ~ p_8(X1)
| ~ p_9(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_15) ).
cnf(m_t3_2,axiom,
p_9(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t3_2) ).
cnf(m_t3_1,axiom,
p_8(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t3_1) ).
cnf(m_s3_type11_13,axiom,
( p_6(X1)
| ~ p_7(X1)
| ~ p_8(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_13) ).
cnf(m_s3_type12_13,axiom,
( q_6(X1)
| ~ p_7(X1)
| ~ q_8(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_13) ).
cnf(m_t3_3,axiom,
q_8(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t3_3) ).
cnf(m_s3_type11_11,axiom,
( p_5(X1)
| ~ p_6(X1)
| ~ p_7(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_11) ).
cnf(m_s3_type12_12,axiom,
( q_5(X1)
| ~ q_6(X1)
| ~ p_7(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_12) ).
cnf(m_s3_type11_9,axiom,
( p_4(X1)
| ~ p_5(X1)
| ~ p_6(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_9) ).
cnf(m_s3_type12_10,axiom,
( q_4(X1)
| ~ q_5(X1)
| ~ p_6(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_10) ).
cnf(m_s3_type11_7,axiom,
( p_3(X1)
| ~ p_4(X1)
| ~ p_5(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_7) ).
cnf(m_s3_type12_8,axiom,
( q_3(X1)
| ~ q_4(X1)
| ~ p_5(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_8) ).
cnf(m_s3_type12_5,axiom,
( q_2(X1)
| ~ p_3(X1)
| ~ q_4(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_5) ).
cnf(m_s3_type11_4,axiom,
( p_1(X1)
| ~ q_2(X1)
| ~ q_3(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_4) ).
cnf(m_s3_type11_5,axiom,
( p_2(X1)
| ~ p_3(X1)
| ~ p_4(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_5) ).
cnf(m_s3_type12_1,axiom,
( q_0(X1)
| ~ p_1(X1)
| ~ q_2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_1) ).
cnf(m_s3_type11_1,axiom,
( p_0(X1)
| ~ p_1(X1)
| ~ p_2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_1) ).
cnf(m_s3_goal_1,negated_conjecture,
( ~ p_0(X1)
| ~ q_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_goal_1) ).
cnf(c_0_18,axiom,
( p_7(X1)
| ~ p_8(X1)
| ~ p_9(X1) ),
m_s3_type11_15 ).
cnf(c_0_19,axiom,
p_9(a),
m_t3_2 ).
cnf(c_0_20,axiom,
p_8(a),
m_t3_1 ).
cnf(c_0_21,axiom,
( p_6(X1)
| ~ p_7(X1)
| ~ p_8(X1) ),
m_s3_type11_13 ).
cnf(c_0_22,plain,
p_7(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_23,axiom,
( q_6(X1)
| ~ p_7(X1)
| ~ q_8(X1) ),
m_s3_type12_13 ).
cnf(c_0_24,axiom,
q_8(a),
m_t3_3 ).
cnf(c_0_25,axiom,
( p_5(X1)
| ~ p_6(X1)
| ~ p_7(X1) ),
m_s3_type11_11 ).
cnf(c_0_26,plain,
p_6(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_20]),c_0_22])]) ).
cnf(c_0_27,axiom,
( q_5(X1)
| ~ q_6(X1)
| ~ p_7(X1) ),
m_s3_type12_12 ).
cnf(c_0_28,plain,
q_6(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_22])]) ).
cnf(c_0_29,axiom,
( p_4(X1)
| ~ p_5(X1)
| ~ p_6(X1) ),
m_s3_type11_9 ).
cnf(c_0_30,plain,
p_5(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_22]),c_0_26])]) ).
cnf(c_0_31,axiom,
( q_4(X1)
| ~ q_5(X1)
| ~ p_6(X1) ),
m_s3_type12_10 ).
cnf(c_0_32,plain,
q_5(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_22]),c_0_28])]) ).
cnf(c_0_33,axiom,
( p_3(X1)
| ~ p_4(X1)
| ~ p_5(X1) ),
m_s3_type11_7 ).
cnf(c_0_34,plain,
p_4(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_26]),c_0_30])]) ).
cnf(c_0_35,axiom,
( q_3(X1)
| ~ q_4(X1)
| ~ p_5(X1) ),
m_s3_type12_8 ).
cnf(c_0_36,plain,
q_4(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_26]),c_0_32])]) ).
cnf(c_0_37,axiom,
( q_2(X1)
| ~ p_3(X1)
| ~ q_4(X1) ),
m_s3_type12_5 ).
cnf(c_0_38,plain,
p_3(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_30]),c_0_34])]) ).
cnf(c_0_39,axiom,
( p_1(X1)
| ~ q_2(X1)
| ~ q_3(X1) ),
m_s3_type11_4 ).
cnf(c_0_40,plain,
q_3(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_30]),c_0_36])]) ).
cnf(c_0_41,plain,
q_2(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_36])]) ).
cnf(c_0_42,axiom,
( p_2(X1)
| ~ p_3(X1)
| ~ p_4(X1) ),
m_s3_type11_5 ).
cnf(c_0_43,axiom,
( q_0(X1)
| ~ p_1(X1)
| ~ q_2(X1) ),
m_s3_type12_1 ).
cnf(c_0_44,plain,
p_1(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).
cnf(c_0_45,axiom,
( p_0(X1)
| ~ p_1(X1)
| ~ p_2(X1) ),
m_s3_type11_1 ).
cnf(c_0_46,plain,
p_2(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_38]),c_0_34])]) ).
cnf(c_0_47,negated_conjecture,
( ~ p_0(X1)
| ~ q_0(X1) ),
m_s3_goal_1 ).
cnf(c_0_48,plain,
q_0(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_41])]) ).
cnf(c_0_49,plain,
p_0(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_44]),c_0_46])]) ).
cnf(c_0_50,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN100-1.005 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 18:59:52 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.62 start to proof: theBenchmark
% 0.20/0.63 % Version : CSE_E---1.5
% 0.20/0.63 % Problem : theBenchmark.p
% 0.20/0.63 % Proof found
% 0.20/0.63 % SZS status Theorem for theBenchmark.p
% 0.20/0.63 % SZS output start Proof
% See solution above
% 0.20/0.64 % Total time : 0.008000 s
% 0.20/0.64 % SZS output end Proof
% 0.20/0.64 % Total time : 0.012000 s
%------------------------------------------------------------------------------