%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN116-10 : 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 : n019.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 05:36:11 PM UTC 2026
% Result : Unsatisfiable 1.36s 1.76s
% Output : CNFRefutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of clauses : 40 ( 40 unt; 0 nHn; 9 RR)
% Number of literals : 40 ( 39 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 3 con; 0-4 aty)
% Number of variables : 63 ( 28 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_085,axiom,
ifeq(p0(X1,X2),true,p1(X2,X2,X2),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_085) ).
cnf(axiom_14,axiom,
p0(b,X1) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
cnf(ifeq_axiom,axiom,
ifeq(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(rule_029,axiom,
ifeq(p0(X1,X2),true,ifeq(s0(X1),true,m1(X1,X2,X1),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_029) ).
cnf(axiom_5,axiom,
s0(b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
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_176,axiom,
ifeq(m1(X1,X2,X1),true,p2(X2,X1,X2),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_176) ).
cnf(rule_244,axiom,
ifeq(n2(X1),true,p3(X1,X1,X1),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_244) ).
cnf(rule_267,axiom,
ifeq(p2(X1,X2,X3),true,r3(X1,X3,X1),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_267) ).
cnf(rule_299,axiom,
ifeq(p3(X1,X2,X3),true,ifeq(l1(X4,X2),true,s4(X4),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_299) ).
cnf(rule_002,axiom,
ifeq(n0(X1,X2),true,l1(X2,X2),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_002) ).
cnf(axiom_15,axiom,
n0(a,b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
cnf(rule_300,axiom,
ifeq(s4(X1),true,ifeq(r3(X2,X3,X3),true,k5(X3),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_300) ).
cnf(prove_this,negated_conjecture,
k5(b) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(c_0_14,axiom,
ifeq(p0(X1,X2),true,p1(X2,X2,X2),true) = true,
rule_085 ).
cnf(c_0_15,axiom,
p0(b,X1) = true,
axiom_14 ).
cnf(c_0_16,axiom,
ifeq(X1,X1,X2,X3) = X2,
ifeq_axiom ).
cnf(c_0_17,axiom,
ifeq(p0(X1,X2),true,ifeq(s0(X1),true,m1(X1,X2,X1),true),true) = true,
rule_029 ).
cnf(c_0_18,axiom,
s0(b) = true,
axiom_5 ).
cnf(c_0_19,axiom,
ifeq(p1(X1,X2,X3),true,n2(X3),true) = true,
rule_137 ).
cnf(c_0_20,plain,
p1(X1,X1,X1) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_21,axiom,
ifeq(m1(X1,X2,X1),true,p2(X2,X1,X2),true) = true,
rule_176 ).
cnf(c_0_22,plain,
m1(b,X1,b) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_15]),c_0_16]),c_0_16]) ).
cnf(c_0_23,axiom,
ifeq(n2(X1),true,p3(X1,X1,X1),true) = true,
rule_244 ).
cnf(c_0_24,plain,
n2(X1) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_16]) ).
cnf(c_0_25,axiom,
ifeq(p2(X1,X2,X3),true,r3(X1,X3,X1),true) = true,
rule_267 ).
cnf(c_0_26,plain,
p2(X1,b,X1) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_16]) ).
cnf(c_0_27,axiom,
ifeq(p3(X1,X2,X3),true,ifeq(l1(X4,X2),true,s4(X4),true),true) = true,
rule_299 ).
cnf(c_0_28,plain,
p3(X1,X1,X1) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24]),c_0_16]) ).
cnf(c_0_29,axiom,
ifeq(n0(X1,X2),true,l1(X2,X2),true) = true,
rule_002 ).
cnf(c_0_30,axiom,
n0(a,b) = true,
axiom_15 ).
cnf(c_0_31,axiom,
ifeq(s4(X1),true,ifeq(r3(X2,X3,X3),true,k5(X3),true),true) = true,
rule_300 ).
cnf(c_0_32,plain,
r3(X1,X1,X1) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_16]) ).
cnf(c_0_33,plain,
ifeq(l1(X1,X2),true,s4(X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_16]) ).
cnf(c_0_34,plain,
l1(b,b) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_16]) ).
cnf(c_0_35,plain,
ifeq(s4(X1),true,k5(X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_16]) ).
cnf(c_0_36,plain,
s4(b) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_16]) ).
cnf(c_0_37,negated_conjecture,
k5(b) != true,
prove_this ).
cnf(c_0_38,plain,
k5(X1) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_16]) ).
cnf(c_0_39,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN116-10 : 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 : n019.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 08:14:29 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.36/1.76 % Version : CSE_E---1.7
% 1.36/1.76 % Problem : theBenchmark.p
% 1.36/1.76 % SZS status Unsatisfiable for theBenchmark.p
% 1.36/1.76 % SZS output start CNFRefutation
% See solution above
% 1.36/1.76 % Total time : 1.368s
%------------------------------------------------------------------------------