%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN214-10 : 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 : n009.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 05:36:27 PM UTC 2026
% Result : Unsatisfiable 1.59s 1.80s
% Output : CNFRefutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 28
% Syntax : Number of clauses : 80 ( 80 unt; 0 nHn; 26 RR)
% Number of literals : 80 ( 79 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 5 con; 0-4 aty)
% Number of variables : 112 ( 46 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_001,axiom,
ifeq(n0(X1,X2),true,k1(X2),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).
cnf(axiom_30,axiom,
n0(e,e) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
cnf(ifeq_axiom,axiom,
ifeq(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(rule_107,axiom,
ifeq(m0(e,d,X1),true,ifeq(m0(X1,d,X1),true,q1(e,X1,X1),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_107) ).
cnf(axiom_19,axiom,
m0(X1,d,X2) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
cnf(rule_159,axiom,
ifeq(k1(X1),true,p2(X1,X1,X1),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_159) ).
cnf(rule_003,axiom,
ifeq(p0(X1,X2),true,ifeq(r0(X3),true,ifeq(m0(X4,X2,X1),true,l1(X2,X4),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_003) ).
cnf(axiom_27,axiom,
m0(e,b,c) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
cnf(axiom_18,axiom,
p0(c,b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
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(rule_165,axiom,
ifeq(p2(X1,X1,X2),true,ifeq(q1(X1,X2,X1),true,p2(X3,X3,X3),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_165) ).
cnf(rule_063,axiom,
ifeq(k0(X1),true,ifeq(n0(d,X2),true,p1(X2,X2,X1),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_063) ).
cnf(axiom_7,axiom,
n0(d,b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
cnf(axiom_9,axiom,
r0(b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
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_240,axiom,
ifeq(p2(X1,X2,X3),true,n3(X3),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_240) ).
cnf(rule_145,axiom,
ifeq(p1(X1,X2,e),true,ifeq(r0(e),true,p2(e,X1,X2),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_145) ).
cnf(axiom_13,axiom,
r0(e) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
cnf(axiom_28,axiom,
k0(e) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
cnf(rule_186,axiom,
ifeq(l1(X1,X2),true,q2(X2,X2,X1),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_186) ).
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_298,axiom,
ifeq(q3(X1,X2),true,ifeq(n3(X3),true,ifeq(p0(X4,X3),true,r4(X3),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_298) ).
cnf(rule_255,axiom,
ifeq(q2(X1,X2,X3),true,ifeq(n0(X1,X2),true,q3(X2,X3),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_255) ).
cnf(rule_277,axiom,
ifeq(p3(X1,X2,X3),true,l4(X3),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_277) ).
cnf(rule_256,axiom,
ifeq(q3(X1,X2),true,ifeq(p2(X1,X2,X2),true,q3(X2,X2),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_256) ).
cnf(rule_329,axiom,
ifeq(r4(X1),true,ifeq(l4(X2),true,s5(X2),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_329) ).
cnf(prove_this,negated_conjecture,
s5(c) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(c_0_28,axiom,
ifeq(n0(X1,X2),true,k1(X2),true) = true,
rule_001 ).
cnf(c_0_29,axiom,
n0(e,e) = true,
axiom_30 ).
cnf(c_0_30,axiom,
ifeq(X1,X1,X2,X3) = X2,
ifeq_axiom ).
cnf(c_0_31,axiom,
ifeq(m0(e,d,X1),true,ifeq(m0(X1,d,X1),true,q1(e,X1,X1),true),true) = true,
rule_107 ).
cnf(c_0_32,axiom,
m0(X1,d,X2) = true,
axiom_19 ).
cnf(c_0_33,axiom,
ifeq(k1(X1),true,p2(X1,X1,X1),true) = true,
rule_159 ).
cnf(c_0_34,plain,
k1(e) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_35,axiom,
ifeq(p0(X1,X2),true,ifeq(r0(X3),true,ifeq(m0(X4,X2,X1),true,l1(X2,X4),true),true),true) = true,
rule_003 ).
cnf(c_0_36,axiom,
m0(e,b,c) = true,
axiom_27 ).
cnf(c_0_37,axiom,
p0(c,b) = true,
axiom_18 ).
cnf(c_0_38,axiom,
ifeq(p0(X1,X2),true,p1(X2,X2,X2),true) = true,
rule_085 ).
cnf(c_0_39,axiom,
p0(b,X1) = true,
axiom_14 ).
cnf(c_0_40,axiom,
ifeq(p2(X1,X1,X2),true,ifeq(q1(X1,X2,X1),true,p2(X3,X3,X3),true),true) = true,
rule_165 ).
cnf(c_0_41,plain,
q1(e,X1,X1) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32]),c_0_32]),c_0_30]),c_0_30]) ).
cnf(c_0_42,plain,
p2(e,e,e) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_30]) ).
cnf(c_0_43,axiom,
ifeq(k0(X1),true,ifeq(n0(d,X2),true,p1(X2,X2,X1),true),true) = true,
rule_063 ).
cnf(c_0_44,axiom,
n0(d,b) = true,
axiom_7 ).
cnf(c_0_45,plain,
ifeq(r0(X1),true,l1(b,e),true) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_30]),c_0_30]) ).
cnf(c_0_46,axiom,
r0(b) = true,
axiom_9 ).
cnf(c_0_47,axiom,
ifeq(p1(X1,X2,X3),true,n2(X3),true) = true,
rule_137 ).
cnf(c_0_48,plain,
p1(X1,X1,X1) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_30]) ).
cnf(c_0_49,axiom,
ifeq(p2(X1,X2,X3),true,n3(X3),true) = true,
rule_240 ).
cnf(c_0_50,plain,
p2(X1,X1,X1) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_30]),c_0_30]) ).
cnf(c_0_51,axiom,
ifeq(p1(X1,X2,e),true,ifeq(r0(e),true,p2(e,X1,X2),true),true) = true,
rule_145 ).
cnf(c_0_52,axiom,
r0(e) = true,
axiom_13 ).
cnf(c_0_53,plain,
ifeq(k0(X1),true,p1(b,b,X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_30]) ).
cnf(c_0_54,axiom,
k0(e) = true,
axiom_28 ).
cnf(c_0_55,axiom,
ifeq(l1(X1,X2),true,q2(X2,X2,X1),true) = true,
rule_186 ).
cnf(c_0_56,plain,
l1(b,e) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_30]) ).
cnf(c_0_57,axiom,
ifeq(n2(X1),true,p3(X1,X1,X1),true) = true,
rule_244 ).
cnf(c_0_58,plain,
n2(X1) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_30]) ).
cnf(c_0_59,axiom,
ifeq(q3(X1,X2),true,ifeq(n3(X3),true,ifeq(p0(X4,X3),true,r4(X3),true),true),true) = true,
rule_298 ).
cnf(c_0_60,plain,
n3(X1) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_30]) ).
cnf(c_0_61,plain,
ifeq(p1(X1,X2,e),true,p2(e,X1,X2),true) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52]),c_0_30]) ).
cnf(c_0_62,plain,
p1(b,b,e) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_30]) ).
cnf(c_0_63,axiom,
ifeq(q2(X1,X2,X3),true,ifeq(n0(X1,X2),true,q3(X2,X3),true),true) = true,
rule_255 ).
cnf(c_0_64,plain,
q2(e,e,b) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_30]) ).
cnf(c_0_65,axiom,
ifeq(p3(X1,X2,X3),true,l4(X3),true) = true,
rule_277 ).
cnf(c_0_66,plain,
p3(X1,X1,X1) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58]),c_0_30]) ).
cnf(c_0_67,plain,
ifeq(q3(X1,X2),true,ifeq(p0(X3,X4),true,r4(X4),true),true) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_60]),c_0_30]) ).
cnf(c_0_68,axiom,
ifeq(q3(X1,X2),true,ifeq(p2(X1,X2,X2),true,q3(X2,X2),true),true) = true,
rule_256 ).
cnf(c_0_69,plain,
p2(e,b,b) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_30]) ).
cnf(c_0_70,plain,
q3(e,b) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_29]),c_0_30]),c_0_30]) ).
cnf(c_0_71,axiom,
ifeq(r4(X1),true,ifeq(l4(X2),true,s5(X2),true),true) = true,
rule_329 ).
cnf(c_0_72,plain,
l4(X1) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_30]) ).
cnf(c_0_73,plain,
ifeq(q3(X1,X2),true,r4(b),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_37]),c_0_30]) ).
cnf(c_0_74,plain,
q3(b,b) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]),c_0_30]),c_0_30]) ).
cnf(c_0_75,plain,
ifeq(r4(X1),true,s5(X2),true) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_72]),c_0_30]) ).
cnf(c_0_76,plain,
r4(b) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_30]) ).
cnf(c_0_77,negated_conjecture,
s5(c) != true,
prove_this ).
cnf(c_0_78,plain,
s5(X1) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_30]) ).
cnf(c_0_79,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN214-10 : TPTP v9.2.1. Released v7.5.0.
% 0.11/0.13 % 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
% 0.16/0.34 % Computer : n009.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 08:21:26 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.59/1.80 % Version : CSE_E---1.7
% 1.59/1.80 % Problem : theBenchmark.p
% 1.59/1.80 % SZS status Unsatisfiable for theBenchmark.p
% 1.59/1.80 % SZS output start CNFRefutation
% See solution above
% 1.59/1.80 % Total time : 1.373s
%------------------------------------------------------------------------------