TSTP Solution File: GRP002-10 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP002-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n008.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 : Thu Aug 31 00:13:31 EDT 2023
% Result : Unsatisfiable 0.96s 1.01s
% Output : CNFRefutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 31
% Syntax : Number of formulae : 119 ( 105 unt; 14 typ; 0 def)
% Number of atoms : 105 ( 104 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 14 ( 5 >; 9 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-4 aty)
% Number of variables : 161 ( 4 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
ifeq2: ( $i * $i * $i * $i ) > $i ).
tff(decl_23,type,
ifeq: ( $i * $i * $i * $i ) > $i ).
tff(decl_24,type,
identity: $i ).
tff(decl_25,type,
product: ( $i * $i * $i ) > $i ).
tff(decl_26,type,
true: $i ).
tff(decl_27,type,
inverse: $i > $i ).
tff(decl_28,type,
multiply: ( $i * $i ) > $i ).
tff(decl_29,type,
a: $i ).
tff(decl_30,type,
b: $i ).
tff(decl_31,type,
c: $i ).
tff(decl_32,type,
d: $i ).
tff(decl_33,type,
h: $i ).
tff(decl_34,type,
j: $i ).
tff(decl_35,type,
k: $i ).
cnf(associativity2,axiom,
ifeq(product(X1,X2,X3),true,ifeq(product(X4,X3,X5),true,ifeq(product(X4,X1,X6),true,product(X6,X2,X5),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity2) ).
cnf(d_times_inverse_b_is_h,negated_conjecture,
product(d,inverse(b),h) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_times_inverse_b_is_h) ).
cnf(ifeq_axiom_001,axiom,
ifeq(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
cnf(total_function2,axiom,
ifeq2(product(X1,X2,X3),true,ifeq2(product(X1,X2,X4),true,X4,X3),X3) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function2) ).
cnf(right_identity,axiom,
product(X1,identity,X1) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
cnf(ifeq_axiom,axiom,
ifeq2(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(left_identity,axiom,
product(identity,X1,X1) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
cnf(left_inverse,axiom,
product(inverse(X1),X1,identity) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
cnf(total_function1,axiom,
product(X1,X2,multiply(X1,X2)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function1) ).
cnf(h_times_b_is_j,negated_conjecture,
product(h,b,j) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_times_b_is_j) ).
cnf(associativity1,axiom,
ifeq(product(X1,X2,X3),true,ifeq(product(X4,X2,X5),true,ifeq(product(X6,X4,X1),true,product(X6,X5,X3),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity1) ).
cnf(x_cubed_is_identity_2,hypothesis,
ifeq(product(X1,X1,X2),true,product(X2,X1,identity),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_cubed_is_identity_2) ).
cnf(c_times_inverse_a_is_d,negated_conjecture,
product(c,inverse(a),d) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_times_inverse_a_is_d) ).
cnf(a_times_b_is_c,negated_conjecture,
product(a,b,c) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b_is_c) ).
cnf(right_inverse,axiom,
product(X1,inverse(X1),identity) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
cnf(j_times_inverse_h_is_k,negated_conjecture,
product(j,inverse(h),k) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',j_times_inverse_h_is_k) ).
cnf(prove_k_times_inverse_b_is_e,negated_conjecture,
product(k,inverse(b),identity) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_k_times_inverse_b_is_e) ).
cnf(c_0_17,axiom,
ifeq(product(X1,X2,X3),true,ifeq(product(X4,X3,X5),true,ifeq(product(X4,X1,X6),true,product(X6,X2,X5),true),true),true) = true,
associativity2 ).
cnf(c_0_18,negated_conjecture,
product(d,inverse(b),h) = true,
d_times_inverse_b_is_h ).
cnf(c_0_19,axiom,
ifeq(X1,X1,X2,X3) = X2,
ifeq_axiom_001 ).
cnf(c_0_20,axiom,
ifeq2(product(X1,X2,X3),true,ifeq2(product(X1,X2,X4),true,X4,X3),X3) = X3,
total_function2 ).
cnf(c_0_21,axiom,
product(X1,identity,X1) = true,
right_identity ).
cnf(c_0_22,axiom,
ifeq2(X1,X1,X2,X3) = X2,
ifeq_axiom ).
cnf(c_0_23,axiom,
product(identity,X1,X1) = true,
left_identity ).
cnf(c_0_24,negated_conjecture,
ifeq(product(inverse(b),X1,X2),true,ifeq(product(d,X2,X3),true,product(h,X1,X3),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_25,axiom,
product(inverse(X1),X1,identity) = true,
left_inverse ).
cnf(c_0_26,plain,
ifeq2(product(X1,identity,X2),true,X1,X2) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_27,axiom,
product(X1,X2,multiply(X1,X2)) = true,
total_function1 ).
cnf(c_0_28,negated_conjecture,
product(h,b,j) = true,
h_times_b_is_j ).
cnf(c_0_29,axiom,
ifeq(product(X1,X2,X3),true,ifeq(product(X4,X2,X5),true,ifeq(product(X6,X4,X1),true,product(X6,X5,X3),true),true),true) = true,
associativity1 ).
cnf(c_0_30,plain,
ifeq2(product(identity,X1,X2),true,X1,X2) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_23]),c_0_22]) ).
cnf(c_0_31,plain,
ifeq(product(X1,X2,identity),true,ifeq(product(X3,X1,X4),true,product(X4,X2,X3),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_21]),c_0_19]) ).
cnf(c_0_32,negated_conjecture,
ifeq(product(d,identity,X1),true,product(h,b,X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_19]) ).
cnf(c_0_33,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_22]) ).
cnf(c_0_34,negated_conjecture,
ifeq2(product(h,b,X1),true,X1,j) = j,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_28]),c_0_22]) ).
cnf(c_0_35,plain,
ifeq(product(identity,X1,X2),true,ifeq(product(X3,X1,X4),true,product(inverse(X3),X4,X2),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_25]),c_0_19]) ).
cnf(c_0_36,plain,
multiply(identity,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_27]),c_0_22]) ).
cnf(c_0_37,plain,
ifeq(product(X1,inverse(X2),X3),true,product(X3,X2,X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_25]),c_0_19]) ).
cnf(c_0_38,hypothesis,
ifeq(product(X1,X1,X2),true,product(X2,X1,identity),true) = true,
x_cubed_is_identity_2 ).
cnf(c_0_39,negated_conjecture,
product(c,inverse(a),d) = true,
c_times_inverse_a_is_d ).
cnf(c_0_40,plain,
ifeq2(product(X1,X2,X3),true,multiply(X1,X2),X3) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_27]),c_0_22]) ).
cnf(c_0_41,negated_conjecture,
product(h,b,d) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_27]),c_0_33]),c_0_19]) ).
cnf(c_0_42,negated_conjecture,
multiply(h,b) = j,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_27]),c_0_22]) ).
cnf(c_0_43,plain,
ifeq(product(X1,X2,X3),true,product(inverse(X1),X3,X2),true) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_27]),c_0_36]),c_0_19]) ).
cnf(c_0_44,plain,
product(identity,X1,inverse(inverse(X1))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_25]),c_0_19]) ).
cnf(c_0_45,plain,
product(multiply(X1,inverse(X2)),X2,X1) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_27]),c_0_19]) ).
cnf(c_0_46,hypothesis,
product(multiply(X1,X1),X1,identity) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_27]),c_0_19]) ).
cnf(c_0_47,negated_conjecture,
ifeq(product(inverse(a),X1,X2),true,ifeq(product(c,X2,X3),true,product(d,X1,X3),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_39]),c_0_19]) ).
cnf(c_0_48,negated_conjecture,
d = j,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_22]) ).
cnf(c_0_49,plain,
product(inverse(X1),multiply(X1,X2),X2) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_27]),c_0_19]) ).
cnf(c_0_50,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_44]),c_0_36]),c_0_22]) ).
cnf(c_0_51,plain,
multiply(multiply(X1,inverse(X2)),X2) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_45]),c_0_22]) ).
cnf(c_0_52,hypothesis,
multiply(multiply(X1,X1),X1) = identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_46]),c_0_22]) ).
cnf(c_0_53,negated_conjecture,
ifeq(product(inverse(a),X1,X2),true,product(j,X1,multiply(c,X2)),true) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_27]),c_0_19]),c_0_48]) ).
cnf(c_0_54,plain,
product(X1,multiply(inverse(X1),X2),X2) = true,
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,hypothesis,
multiply(inverse(X1),inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_36]) ).
cnf(c_0_56,negated_conjecture,
product(a,b,c) = true,
a_times_b_is_c ).
cnf(c_0_57,axiom,
product(X1,inverse(X1),identity) = true,
right_inverse ).
cnf(c_0_58,negated_conjecture,
product(j,multiply(a,X1),multiply(c,X1)) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_50]),c_0_19]) ).
cnf(c_0_59,hypothesis,
multiply(X1,X1) = inverse(X1),
inference(spm,[status(thm)],[c_0_51,c_0_55]) ).
cnf(c_0_60,negated_conjecture,
ifeq(product(b,X1,X2),true,ifeq(product(h,X2,X3),true,product(j,X1,X3),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_28]),c_0_19]) ).
cnf(c_0_61,negated_conjecture,
ifeq(product(b,X1,X2),true,ifeq(product(a,X2,X3),true,product(c,X1,X3),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_56]),c_0_19]) ).
cnf(c_0_62,plain,
ifeq(product(X1,X2,X3),true,product(X3,inverse(X2),X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_57]),c_0_19]) ).
cnf(c_0_63,hypothesis,
product(j,multiply(a,c),inverse(c)) = true,
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_64,negated_conjecture,
ifeq(product(b,X1,X2),true,product(j,X1,multiply(h,X2)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_27]),c_0_19]) ).
cnf(c_0_65,negated_conjecture,
ifeq(product(b,X1,X2),true,product(c,X1,multiply(a,X2)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_27]),c_0_19]) ).
cnf(c_0_66,hypothesis,
product(inverse(c),inverse(multiply(a,c)),j) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_19]) ).
cnf(c_0_67,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_49]),c_0_22]) ).
cnf(c_0_68,plain,
multiply(multiply(X1,X2),inverse(X2)) = X1,
inference(spm,[status(thm)],[c_0_51,c_0_50]) ).
cnf(c_0_69,negated_conjecture,
product(j,X1,multiply(h,multiply(b,X1))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_27]),c_0_19]) ).
cnf(c_0_70,negated_conjecture,
product(c,X1,multiply(a,multiply(b,X1))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_27]),c_0_19]) ).
cnf(c_0_71,hypothesis,
product(c,j,inverse(multiply(a,c))) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_66]),c_0_50]),c_0_19]) ).
cnf(c_0_72,plain,
multiply(inverse(multiply(X1,X2)),X1) = inverse(X2),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_73,negated_conjecture,
multiply(h,multiply(b,X1)) = multiply(j,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_69]),c_0_22]) ).
cnf(c_0_74,plain,
multiply(X1,multiply(inverse(X1),X2)) = X2,
inference(spm,[status(thm)],[c_0_67,c_0_50]) ).
cnf(c_0_75,plain,
multiply(X1,inverse(multiply(X2,X1))) = inverse(X2),
inference(spm,[status(thm)],[c_0_68,c_0_67]) ).
cnf(c_0_76,negated_conjecture,
multiply(a,multiply(b,X1)) = multiply(c,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_70]),c_0_22]) ).
cnf(c_0_77,hypothesis,
inverse(multiply(a,c)) = multiply(c,j),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_71]),c_0_22]) ).
cnf(c_0_78,negated_conjecture,
multiply(inverse(multiply(j,X1)),h) = inverse(multiply(b,X1)),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_79,plain,
inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_80,plain,
ifeq(product(X1,X2,X3),true,ifeq(product(X4,X3,X5),true,product(multiply(X4,X1),X2,X5),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_27]),c_0_19]) ).
cnf(c_0_81,negated_conjecture,
multiply(inverse(a),multiply(c,X1)) = multiply(b,X1),
inference(spm,[status(thm)],[c_0_67,c_0_76]) ).
cnf(c_0_82,hypothesis,
multiply(c,multiply(c,j)) = inverse(a),
inference(spm,[status(thm)],[c_0_75,c_0_77]) ).
cnf(c_0_83,hypothesis,
product(inverse(j),inverse(c),multiply(a,c)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_63]),c_0_19]) ).
cnf(c_0_84,plain,
multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)),
inference(spm,[status(thm)],[c_0_67,c_0_75]) ).
cnf(c_0_85,negated_conjecture,
multiply(multiply(X1,j),inverse(b)) = multiply(X1,h),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_75]),c_0_50]),c_0_79]) ).
cnf(c_0_86,plain,
ifeq(product(X1,X2,X3),true,product(multiply(X4,X1),X2,multiply(X4,X3)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_27]),c_0_19]) ).
cnf(c_0_87,hypothesis,
product(X1,X1,inverse(X1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_59]),c_0_50]) ).
cnf(c_0_88,hypothesis,
multiply(b,multiply(c,j)) = a,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_55]) ).
cnf(c_0_89,hypothesis,
inverse(multiply(c,j)) = multiply(a,c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_83]),c_0_84]),c_0_22]) ).
cnf(c_0_90,negated_conjecture,
multiply(multiply(X1,h),b) = multiply(X1,j),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_85]),c_0_50]) ).
cnf(c_0_91,hypothesis,
product(multiply(X1,X2),X2,multiply(X1,inverse(X2))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_19]) ).
cnf(c_0_92,negated_conjecture,
multiply(j,multiply(a,X1)) = multiply(c,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_58]),c_0_22]) ).
cnf(c_0_93,hypothesis,
multiply(a,multiply(a,c)) = b,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_88]),c_0_89]) ).
cnf(c_0_94,negated_conjecture,
product(j,inverse(h),k) = true,
j_times_inverse_h_is_k ).
cnf(c_0_95,negated_conjecture,
multiply(multiply(X1,inverse(h)),j) = multiply(X1,b),
inference(spm,[status(thm)],[c_0_90,c_0_51]) ).
cnf(c_0_96,hypothesis,
multiply(multiply(X1,X2),X2) = multiply(X1,inverse(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_91]),c_0_22]) ).
cnf(c_0_97,negated_conjecture,
multiply(c,multiply(a,c)) = multiply(j,b),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_98,negated_conjecture,
ifeq2(product(j,inverse(h),X1),true,X1,k) = k,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_94]),c_0_22]) ).
cnf(c_0_99,negated_conjecture,
multiply(multiply(X1,b),inverse(j)) = multiply(X1,inverse(h)),
inference(spm,[status(thm)],[c_0_68,c_0_95]) ).
cnf(c_0_100,hypothesis,
multiply(j,b) = multiply(b,j),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_82]),c_0_81]),c_0_89]),c_0_97]) ).
cnf(c_0_101,negated_conjecture,
multiply(j,inverse(h)) = k,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_27]),c_0_22]) ).
cnf(c_0_102,negated_conjecture,
product(k,inverse(b),identity) != true,
prove_k_times_inverse_b_is_e ).
cnf(c_0_103,negated_conjecture,
k = b,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_68]),c_0_101]) ).
cnf(c_0_104,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103]),c_0_57])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP002-10 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 22:20:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.96/1.01 % Version : CSE_E---1.5
% 0.96/1.01 % Problem : theBenchmark.p
% 0.96/1.01 % Proof found
% 0.96/1.01 % SZS status Theorem for theBenchmark.p
% 0.96/1.01 % SZS output start Proof
% See solution above
% 0.96/1.02 % Total time : 0.430000 s
% 0.96/1.02 % SZS output end Proof
% 0.96/1.02 % Total time : 0.432000 s
%------------------------------------------------------------------------------