%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN563-10 : TPTP v9.2.1. Released v7.5.0.
% 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 : n007.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 05:39:38 PM UTC 2026
% Result : Unsatisfiable 6.17s 4.53s
% Output : CNFRefutation 6.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of clauses : 44 ( 44 unt; 0 nHn; 15 RR)
% Number of literals : 44 ( 43 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-4 aty)
% Number of variables : 61 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p6_16,negated_conjecture,
ifeq2(p2(X1,X2),true,ifeq2(p2(X3,X4),true,ifeq2(p6(X3,X1),true,p6(X4,X2),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_16) ).
cnf(p6_2,negated_conjecture,
p6(X1,X1) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_2) ).
cnf(ifeq_axiom,axiom,
ifeq2(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(p6_10,negated_conjecture,
ifeq2(p5(X1,X2),true,p6(f4(X1),X2),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_10) ).
cnf(p5_7,negated_conjecture,
p5(f3(f3(X1)),f3(f4(X1))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_7) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
cnf(p2_11,negated_conjecture,
ifeq2(p2(X1,X2),true,p2(f3(X1),f3(X2)),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).
cnf(p2_4,negated_conjecture,
p2(f4(c7),f4(c8)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
cnf(p6_9,negated_conjecture,
ifeq2(p6(c7,X1),true,p6(c7,f3(X1)),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_9) ).
cnf(p6_14,negated_conjecture,
ifeq2(p6(X1,X2),true,ifeq2(p6(X3,X1),true,p6(X3,X2),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_14) ).
cnf(p5_15,negated_conjecture,
ifeq2(p6(X1,X2),true,ifeq2(p5(X2,X3),true,p5(X1,X3),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_15) ).
cnf(p5_8,negated_conjecture,
ifeq2(p6(f4(X1),X2),true,p5(X1,X2),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_8) ).
cnf(not_p6_5,negated_conjecture,
ifeq(p6(f4(c7),f3(f4(c8))),true,a,b) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p6_5) ).
cnf(ifeq_axiom_001,axiom,
ifeq(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
cnf(goal,negated_conjecture,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(c_0_15,negated_conjecture,
ifeq2(p2(X1,X2),true,ifeq2(p2(X3,X4),true,ifeq2(p6(X3,X1),true,p6(X4,X2),true),true),true) = true,
p6_16 ).
cnf(c_0_16,negated_conjecture,
p6(X1,X1) = true,
p6_2 ).
cnf(c_0_17,axiom,
ifeq2(X1,X1,X2,X3) = X2,
ifeq_axiom ).
cnf(c_0_18,negated_conjecture,
ifeq2(p5(X1,X2),true,p6(f4(X1),X2),true) = true,
p6_10 ).
cnf(c_0_19,negated_conjecture,
p5(f3(f3(X1)),f3(f4(X1))) = true,
p5_7 ).
cnf(c_0_20,negated_conjecture,
ifeq2(p2(X1,X2),true,ifeq2(p2(X1,X3),true,p6(X3,X2),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
cnf(c_0_21,negated_conjecture,
p2(X1,X1) = true,
p2_1 ).
cnf(c_0_22,negated_conjecture,
ifeq2(p2(X1,X2),true,p2(f3(X1),f3(X2)),true) = true,
p2_11 ).
cnf(c_0_23,negated_conjecture,
p2(f4(c7),f4(c8)) = true,
p2_4 ).
cnf(c_0_24,negated_conjecture,
ifeq2(p6(c7,X1),true,p6(c7,f3(X1)),true) = true,
p6_9 ).
cnf(c_0_25,negated_conjecture,
ifeq2(p6(X1,X2),true,ifeq2(p6(X3,X1),true,p6(X3,X2),true),true) = true,
p6_14 ).
cnf(c_0_26,negated_conjecture,
p6(f4(f3(f3(X1))),f3(f4(X1))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_17]) ).
cnf(c_0_27,negated_conjecture,
ifeq2(p2(X1,X2),true,p6(X1,X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_17]) ).
cnf(c_0_28,negated_conjecture,
p2(f3(f4(c7)),f3(f4(c8))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_17]) ).
cnf(c_0_29,negated_conjecture,
p6(c7,f3(c7)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_16]),c_0_17]) ).
cnf(c_0_30,negated_conjecture,
ifeq2(p6(f3(f4(X1)),X2),true,p6(f4(f3(f3(X1))),X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_17]) ).
cnf(c_0_31,negated_conjecture,
p6(f3(f4(c7)),f3(f4(c8))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_17]) ).
cnf(c_0_32,negated_conjecture,
ifeq2(p6(X1,X2),true,ifeq2(p5(X2,X3),true,p5(X1,X3),true),true) = true,
p5_15 ).
cnf(c_0_33,negated_conjecture,
p6(c7,f3(f3(c7))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_29]),c_0_17]) ).
cnf(c_0_34,negated_conjecture,
ifeq2(p6(f4(X1),X2),true,p5(X1,X2),true) = true,
p5_8 ).
cnf(c_0_35,negated_conjecture,
p6(f4(f3(f3(c7))),f3(f4(c8))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_17]) ).
cnf(c_0_36,negated_conjecture,
ifeq2(p5(f3(f3(c7)),X1),true,p5(c7,X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_17]) ).
cnf(c_0_37,negated_conjecture,
p5(f3(f3(c7)),f3(f4(c8))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_17]) ).
cnf(c_0_38,negated_conjecture,
p5(c7,f3(f4(c8))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_17]) ).
cnf(c_0_39,negated_conjecture,
ifeq(p6(f4(c7),f3(f4(c8))),true,a,b) = b,
not_p6_5 ).
cnf(c_0_40,negated_conjecture,
p6(f4(c7),f3(f4(c8))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_38]),c_0_17]) ).
cnf(c_0_41,axiom,
ifeq(X1,X1,X2,X3) = X2,
ifeq_axiom_001 ).
cnf(c_0_42,negated_conjecture,
a != b,
goal ).
cnf(c_0_43,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN563-10 : TPTP v9.2.1. Released v7.5.0.
% 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
% 0.16/0.33 % Computer : n007.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 08:38:39 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 6.17/4.53 % Version : CSE_E---1.7
% 6.17/4.53 % Problem : theBenchmark.p
% 6.17/4.53 % SZS status Unsatisfiable for theBenchmark.p
% 6.17/4.53 % SZS output start CNFRefutation
% See solution above
% 6.17/4.55 % Total time : 3.369s
%------------------------------------------------------------------------------