%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP002-10 : TPTP v9.2.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n017.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 : Tue May 5 04:23:31 PM UTC 2026
% Result : Unsatisfiable 4.10s 3.27s
% Output : CNFRefutation 4.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 17
% Syntax : Number of clauses : 106 ( 106 unt; 0 nHn; 28 RR)
% Number of literals : 106 ( 105 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% 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 : 167 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
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_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(left_identity,axiom,
product(identity,X1,X1) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
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(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(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(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,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_24,axiom,
product(inverse(X1),X1,identity) = true,
left_inverse ).
cnf(c_0_25,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_26,axiom,
product(X1,X2,multiply(X1,X2)) = true,
total_function1 ).
cnf(c_0_27,negated_conjecture,
product(h,b,j) = true,
h_times_b_is_j ).
cnf(c_0_28,axiom,
product(identity,X1,X1) = true,
left_identity ).
cnf(c_0_29,negated_conjecture,
ifeq(product(d,identity,X1),true,product(h,b,X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_19]) ).
cnf(c_0_30,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_22]) ).
cnf(c_0_31,negated_conjecture,
ifeq2(product(h,b,X1),true,X1,j) = j,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_27]),c_0_22]) ).
cnf(c_0_32,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_33,plain,
ifeq2(product(identity,X1,X2),true,X1,X2) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_28]),c_0_22]) ).
cnf(c_0_34,plain,
ifeq(product(X1,X2,X3),true,ifeq(product(inverse(X1),X3,X4),true,product(identity,X2,X4),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_24]),c_0_19]) ).
cnf(c_0_35,negated_conjecture,
product(c,inverse(a),d) = true,
c_times_inverse_a_is_d ).
cnf(c_0_36,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_26]),c_0_22]) ).
cnf(c_0_37,negated_conjecture,
product(h,b,d) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_26]),c_0_30]),c_0_19]) ).
cnf(c_0_38,negated_conjecture,
multiply(h,b) = j,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_26]),c_0_22]) ).
cnf(c_0_39,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_32,c_0_24]),c_0_19]) ).
cnf(c_0_40,plain,
multiply(identity,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_26]),c_0_22]) ).
cnf(c_0_41,plain,
ifeq(product(X1,X2,identity),true,product(identity,X2,inverse(X1)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_21]),c_0_19]) ).
cnf(c_0_42,hypothesis,
ifeq(product(X1,X1,X2),true,product(X2,X1,identity),true) = true,
x_cubed_is_identity_2 ).
cnf(c_0_43,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_35]),c_0_19]) ).
cnf(c_0_44,negated_conjecture,
d = j,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_22]) ).
cnf(c_0_45,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_39,c_0_26]),c_0_40]),c_0_19]) ).
cnf(c_0_46,plain,
product(identity,X1,inverse(inverse(X1))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_24]),c_0_19]) ).
cnf(c_0_47,hypothesis,
product(multiply(X1,X1),X1,identity) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_26]),c_0_19]) ).
cnf(c_0_48,negated_conjecture,
ifeq(product(inverse(a),X1,X2),true,ifeq(product(c,X2,X3),true,product(j,X1,X3),true),true) = true,
inference(rw,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,plain,
product(inverse(X1),multiply(X1,X2),X2) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_26]),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_36,c_0_46]),c_0_40]),c_0_22]) ).
cnf(c_0_51,hypothesis,
product(identity,X1,inverse(multiply(X1,X1))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_47]),c_0_19]) ).
cnf(c_0_52,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_53,negated_conjecture,
ifeq(product(inverse(a),X1,X2),true,product(j,X1,multiply(c,X2)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_26]),c_0_19]) ).
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,
inverse(multiply(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_51]),c_0_40]),c_0_22]) ).
cnf(c_0_56,plain,
ifeq(product(X1,inverse(X2),X3),true,product(X3,X2,X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_24]),c_0_19]) ).
cnf(c_0_57,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_27]),c_0_19]) ).
cnf(c_0_58,negated_conjecture,
product(a,b,c) = true,
a_times_b_is_c ).
cnf(c_0_59,axiom,
product(X1,inverse(X1),identity) = true,
right_inverse ).
cnf(c_0_60,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_61,hypothesis,
multiply(X1,X1) = inverse(X1),
inference(spm,[status(thm)],[c_0_50,c_0_55]) ).
cnf(c_0_62,plain,
product(multiply(X1,inverse(X2)),X2,X1) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_26]),c_0_19]) ).
cnf(c_0_63,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_57,c_0_26]),c_0_19]) ).
cnf(c_0_64,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_58]),c_0_19]) ).
cnf(c_0_65,plain,
ifeq(product(X1,X2,X3),true,product(X3,inverse(X2),X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_59]),c_0_19]) ).
cnf(c_0_66,hypothesis,
product(j,multiply(a,c),inverse(c)) = true,
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_67,plain,
multiply(multiply(X1,inverse(X2)),X2) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_62]),c_0_22]) ).
cnf(c_0_68,negated_conjecture,
product(j,X1,multiply(h,multiply(b,X1))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_26]),c_0_19]) ).
cnf(c_0_69,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_64,c_0_26]),c_0_19]) ).
cnf(c_0_70,hypothesis,
product(inverse(c),inverse(multiply(a,c)),j) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_19]) ).
cnf(c_0_71,plain,
multiply(multiply(X1,X2),inverse(X2)) = X1,
inference(spm,[status(thm)],[c_0_67,c_0_50]) ).
cnf(c_0_72,negated_conjecture,
multiply(h,multiply(b,X1)) = multiply(j,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_68]),c_0_22]) ).
cnf(c_0_73,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_49]),c_0_22]) ).
cnf(c_0_74,negated_conjecture,
product(c,X1,multiply(a,multiply(b,X1))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_26]),c_0_19]) ).
cnf(c_0_75,hypothesis,
product(c,j,inverse(multiply(a,c))) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_70]),c_0_50]),c_0_19]) ).
cnf(c_0_76,negated_conjecture,
multiply(multiply(j,X1),inverse(multiply(b,X1))) = h,
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_77,plain,
multiply(X1,multiply(inverse(X1),X2)) = X2,
inference(spm,[status(thm)],[c_0_73,c_0_50]) ).
cnf(c_0_78,plain,
multiply(X1,inverse(multiply(X2,X1))) = inverse(X2),
inference(spm,[status(thm)],[c_0_71,c_0_73]) ).
cnf(c_0_79,negated_conjecture,
multiply(a,multiply(b,X1)) = multiply(c,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_74]),c_0_22]) ).
cnf(c_0_80,hypothesis,
inverse(multiply(a,c)) = multiply(c,j),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_75]),c_0_22]) ).
cnf(c_0_81,negated_conjecture,
multiply(inverse(multiply(j,X1)),h) = inverse(multiply(b,X1)),
inference(spm,[status(thm)],[c_0_73,c_0_76]) ).
cnf(c_0_82,plain,
inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_83,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_26]),c_0_19]) ).
cnf(c_0_84,negated_conjecture,
multiply(inverse(a),multiply(c,X1)) = multiply(b,X1),
inference(spm,[status(thm)],[c_0_73,c_0_79]) ).
cnf(c_0_85,hypothesis,
multiply(c,multiply(c,j)) = inverse(a),
inference(spm,[status(thm)],[c_0_78,c_0_80]) ).
cnf(c_0_86,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_81,c_0_78]),c_0_50]),c_0_82]) ).
cnf(c_0_87,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_83,c_0_26]),c_0_19]) ).
cnf(c_0_88,hypothesis,
product(X1,X1,inverse(X1)) = true,
inference(spm,[status(thm)],[c_0_26,c_0_61]) ).
cnf(c_0_89,hypothesis,
multiply(b,multiply(c,j)) = a,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_61]),c_0_50]) ).
cnf(c_0_90,hypothesis,
inverse(multiply(c,j)) = multiply(a,c),
inference(spm,[status(thm)],[c_0_50,c_0_80]) ).
cnf(c_0_91,negated_conjecture,
multiply(multiply(X1,h),b) = multiply(X1,j),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_86]),c_0_50]) ).
cnf(c_0_92,hypothesis,
product(multiply(X1,X2),X2,multiply(X1,inverse(X2))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_19]) ).
cnf(c_0_93,negated_conjecture,
multiply(j,multiply(a,X1)) = multiply(c,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_60]),c_0_22]) ).
cnf(c_0_94,hypothesis,
multiply(a,multiply(a,c)) = b,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_89]),c_0_90]) ).
cnf(c_0_95,negated_conjecture,
product(j,inverse(h),k) = true,
j_times_inverse_h_is_k ).
cnf(c_0_96,negated_conjecture,
multiply(multiply(X1,inverse(h)),j) = multiply(X1,b),
inference(spm,[status(thm)],[c_0_91,c_0_67]) ).
cnf(c_0_97,hypothesis,
multiply(multiply(X1,X2),X2) = multiply(X1,inverse(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_92]),c_0_22]) ).
cnf(c_0_98,negated_conjecture,
multiply(c,multiply(a,c)) = multiply(j,b),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_99,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_95]),c_0_22]) ).
cnf(c_0_100,negated_conjecture,
multiply(multiply(X1,b),inverse(j)) = multiply(X1,inverse(h)),
inference(spm,[status(thm)],[c_0_71,c_0_96]) ).
cnf(c_0_101,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_97,c_0_85]),c_0_84]),c_0_90]),c_0_98]) ).
cnf(c_0_102,negated_conjecture,
multiply(j,inverse(h)) = k,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_26]),c_0_22]) ).
cnf(c_0_103,negated_conjecture,
product(k,inverse(b),identity) != true,
prove_k_times_inverse_b_is_e ).
cnf(c_0_104,negated_conjecture,
k = b,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_71]),c_0_102]) ).
cnf(c_0_105,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_104]),c_0_59])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP002-10 : TPTP v9.2.1. Released v7.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n017.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 18:14:42 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 4.10/3.27 % Version : CSE_E---1.7
% 4.10/3.27 % Problem : theBenchmark.p
% 4.10/3.27 % SZS status Unsatisfiable for theBenchmark.p
% 4.10/3.27 % SZS output start CNFRefutation
% See solution above
% 4.10/3.29 % Total time : 2.371s
%------------------------------------------------------------------------------