%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN170-10 : 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 : n013.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 05:36:20 PM UTC 2026
% Result : Unsatisfiable 1.32s 1.73s
% Output : CNFRefutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 18 ( 18 unt; 0 nHn; 8 RR)
% Number of literals : 18 ( 17 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-4 aty)
% Number of variables : 26 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_067,axiom,
ifeq(q0(X1,X2),true,p1(X2,X2,X2),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_067) ).
cnf(axiom_33,axiom,
q0(d,c) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_33) ).
cnf(ifeq_axiom,axiom,
ifeq(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(rule_137,axiom,
ifeq(p1(X1,X2,X3),true,n2(X3),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_137) ).
cnf(rule_210,axiom,
ifeq(n2(X1),true,k3(X1,X1,X1),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_210) ).
cnf(rule_287,axiom,
ifeq(k3(X1,X1,X2),true,p4(X1,X2,X1),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_287) ).
cnf(prove_this,negated_conjecture,
p4(X1,c,X2) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(c_0_7,axiom,
ifeq(q0(X1,X2),true,p1(X2,X2,X2),true) = true,
rule_067 ).
cnf(c_0_8,axiom,
q0(d,c) = true,
axiom_33 ).
cnf(c_0_9,axiom,
ifeq(X1,X1,X2,X3) = X2,
ifeq_axiom ).
cnf(c_0_10,axiom,
ifeq(p1(X1,X2,X3),true,n2(X3),true) = true,
rule_137 ).
cnf(c_0_11,plain,
p1(c,c,c) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).
cnf(c_0_12,axiom,
ifeq(n2(X1),true,k3(X1,X1,X1),true) = true,
rule_210 ).
cnf(c_0_13,plain,
n2(c) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_9]) ).
cnf(c_0_14,axiom,
ifeq(k3(X1,X1,X2),true,p4(X1,X2,X1),true) = true,
rule_287 ).
cnf(c_0_15,plain,
k3(c,c,c) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_9]) ).
cnf(c_0_16,negated_conjecture,
p4(X1,c,X2) != true,
prove_this ).
cnf(c_0_17,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_9]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN170-10 : 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
% 0.15/0.33 % Computer : n013.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 : Tue May 5 08:17:11 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.32/1.73 % Version : CSE_E---1.7
% 1.32/1.73 % Problem : theBenchmark.p
% 1.32/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.32/1.73 % SZS output start CNFRefutation
% See solution above
% 1.32/1.73 % Total time : 1.374s
%------------------------------------------------------------------------------