%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN214-1 : TPTP v9.2.1. Released v1.1.0.
% 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 : n027.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 1.39s 1.74s
% Output : CNFRefutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 24
% Syntax : Number of clauses : 71 ( 34 unt; 0 nHn; 53 RR)
% Number of literals : 128 ( 0 equ; 59 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 102 ( 49 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_126,axiom,
( s1(X1)
| ~ q0(X1,X2)
| ~ s1(X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_126) ).
cnf(axiom_17,axiom,
q0(X1,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
cnf(rule_125,axiom,
( s1(X1)
| ~ p0(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).
cnf(axiom_14,axiom,
p0(b,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
cnf(rule_001,axiom,
( k1(X1)
| ~ n0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
cnf(axiom_26,axiom,
n0(d,c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_26) ).
cnf(rule_159,axiom,
( p2(X1,X1,X1)
| ~ k1(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_159) ).
cnf(rule_093,axiom,
( q1(X1,X1,X1)
| ~ q0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_093) ).
cnf(axiom_33,axiom,
q0(d,c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_33) ).
cnf(rule_133,axiom,
( l2(X1,X1)
| ~ p0(X2,X2)
| ~ s1(X3)
| ~ m0(X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_133) ).
cnf(rule_165,axiom,
( p2(X1,X1,X1)
| ~ q1(X2,X3,X2)
| ~ p2(X2,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_165) ).
cnf(rule_057,axiom,
( n1(X1,X1,X1)
| ~ r0(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_057) ).
cnf(axiom_13,axiom,
r0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_13) ).
cnf(axiom_3,axiom,
n0(d,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_3) ).
cnf(axiom_19,axiom,
m0(X1,d,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
cnf(rule_240,axiom,
( n3(X1)
| ~ p2(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_240) ).
cnf(rule_179,axiom,
( q2(X1,X1,X1)
| ~ k1(X2)
| ~ n1(X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_179) ).
cnf(rule_277,axiom,
( l4(X1)
| ~ p3(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_277) ).
cnf(rule_246,axiom,
( p3(X1,X1,X1)
| ~ l2(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_246) ).
cnf(rule_298,axiom,
( r4(X1)
| ~ n3(X1)
| ~ q3(X2,X3)
| ~ p0(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_298) ).
cnf(rule_255,axiom,
( q3(X1,X2)
| ~ q2(X3,X1,X2)
| ~ n0(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_255) ).
cnf(axiom_30,axiom,
n0(e,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_30) ).
cnf(rule_329,axiom,
( s5(X1)
| ~ l4(X1)
| ~ r4(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_329) ).
cnf(prove_this,negated_conjecture,
~ s5(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(c_0_24,axiom,
( s1(X1)
| ~ q0(X1,X2)
| ~ s1(X3) ),
rule_126 ).
cnf(c_0_25,axiom,
q0(X1,d),
axiom_17 ).
cnf(c_0_26,axiom,
( s1(X1)
| ~ p0(X1,X1) ),
rule_125 ).
cnf(c_0_27,axiom,
p0(b,X1),
axiom_14 ).
cnf(c_0_28,axiom,
( k1(X1)
| ~ n0(X2,X1) ),
rule_001 ).
cnf(c_0_29,axiom,
n0(d,c),
axiom_26 ).
cnf(c_0_30,plain,
( s1(X1)
| ~ s1(X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,plain,
s1(b),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,axiom,
( p2(X1,X1,X1)
| ~ k1(X1) ),
rule_159 ).
cnf(c_0_33,plain,
k1(c),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,axiom,
( q1(X1,X1,X1)
| ~ q0(X2,X1) ),
rule_093 ).
cnf(c_0_35,axiom,
q0(d,c),
axiom_33 ).
cnf(c_0_36,axiom,
( l2(X1,X1)
| ~ p0(X2,X2)
| ~ s1(X3)
| ~ m0(X4,X3,X1) ),
rule_133 ).
cnf(c_0_37,plain,
s1(X1),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,axiom,
( p2(X1,X1,X1)
| ~ q1(X2,X3,X2)
| ~ p2(X2,X2,X3) ),
rule_165 ).
cnf(c_0_39,plain,
p2(c,c,c),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,plain,
q1(c,c,c),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,axiom,
( n1(X1,X1,X1)
| ~ r0(X1) ),
rule_057 ).
cnf(c_0_42,axiom,
r0(e),
axiom_13 ).
cnf(c_0_43,axiom,
n0(d,e),
axiom_3 ).
cnf(c_0_44,plain,
( l2(X1,X1)
| ~ p0(X2,X2)
| ~ m0(X3,X4,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37])]) ).
cnf(c_0_45,axiom,
m0(X1,d,X2),
axiom_19 ).
cnf(c_0_46,axiom,
( n3(X1)
| ~ p2(X2,X3,X1) ),
rule_240 ).
cnf(c_0_47,plain,
p2(X1,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).
cnf(c_0_48,axiom,
( q2(X1,X1,X1)
| ~ k1(X2)
| ~ n1(X1,X1,X2) ),
rule_179 ).
cnf(c_0_49,plain,
n1(e,e,e),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_50,plain,
k1(e),
inference(spm,[status(thm)],[c_0_28,c_0_43]) ).
cnf(c_0_51,axiom,
( l4(X1)
| ~ p3(X2,X3,X1) ),
rule_277 ).
cnf(c_0_52,axiom,
( p3(X1,X1,X1)
| ~ l2(X1,X1) ),
rule_246 ).
cnf(c_0_53,plain,
( l2(X1,X1)
| ~ p0(X2,X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_54,axiom,
( r4(X1)
| ~ n3(X1)
| ~ q3(X2,X3)
| ~ p0(X4,X1) ),
rule_298 ).
cnf(c_0_55,plain,
n3(X1),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_56,axiom,
( q3(X1,X2)
| ~ q2(X3,X1,X2)
| ~ n0(X3,X1) ),
rule_255 ).
cnf(c_0_57,plain,
q2(e,e,e),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]) ).
cnf(c_0_58,axiom,
n0(e,e),
axiom_30 ).
cnf(c_0_59,plain,
( l4(X1)
| ~ l2(X1,X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_60,plain,
l2(X1,X1),
inference(spm,[status(thm)],[c_0_53,c_0_27]) ).
cnf(c_0_61,plain,
( r4(X1)
| ~ q3(X2,X3)
| ~ p0(X4,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55])]) ).
cnf(c_0_62,plain,
q3(e,e),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).
cnf(c_0_63,axiom,
( s5(X1)
| ~ l4(X1)
| ~ r4(X2) ),
rule_329 ).
cnf(c_0_64,plain,
l4(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_60])]) ).
cnf(c_0_65,plain,
( r4(X1)
| ~ p0(X2,X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_66,plain,
( s5(X1)
| ~ r4(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64])]) ).
cnf(c_0_67,plain,
r4(X1),
inference(spm,[status(thm)],[c_0_65,c_0_27]) ).
cnf(c_0_68,negated_conjecture,
~ s5(c),
prove_this ).
cnf(c_0_69,plain,
s5(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67])]) ).
cnf(c_0_70,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_69])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN214-1 : TPTP v9.2.1. Released v1.1.0.
% 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
% 0.14/0.32 % Computer : n027.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 08:22:35 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.39/1.74 % Version : CSE_E---1.7
% 1.39/1.74 % Problem : theBenchmark.p
% 1.39/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 1.39/1.74 % SZS output start CNFRefutation
% See solution above
% 1.39/1.74 % Total time : 1.374s
%------------------------------------------------------------------------------