%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN253-1 : TPTP v9.2.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n010.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 05:36:34 PM UTC 2026
% Result : Unsatisfiable 1.49s 1.76s
% Output : CNFRefutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 24
% Syntax : Number of clauses : 73 ( 31 unt; 0 nHn; 57 RR)
% Number of literals : 152 ( 0 equ; 84 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 104 ( 36 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_085,axiom,
( p1(X1,X1,X1)
| ~ p0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_085) ).
cnf(axiom_14,axiom,
p0(b,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
cnf(rule_126,axiom,
( s1(X1)
| ~ q0(X1,X2)
| ~ s1(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_126) ).
cnf(axiom_17,axiom,
q0(X1,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
cnf(rule_125,axiom,
( s1(X1)
| ~ p0(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).
cnf(rule_181,axiom,
( q2(X1,X1,X1)
| ~ p1(X1,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_181) ).
cnf(rule_273,axiom,
( s3(X1,X2)
| ~ q2(X3,X1,X3)
| ~ s2(X1)
| ~ m0(X3,X4,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_273) ).
cnf(rule_133,axiom,
( l2(X1,X1)
| ~ p0(X2,X2)
| ~ s1(X3)
| ~ m0(X4,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_133) ).
cnf(axiom_23,axiom,
m0(a,e,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_23) ).
cnf(rule_131,axiom,
( l2(X1,X2)
| ~ s1(X1)
| ~ n0(e,X2)
| ~ l2(X2,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_131) ).
cnf(axiom_31,axiom,
m0(b,b,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_31) ).
cnf(rule_050,axiom,
( n1(X1,X2,X1)
| ~ s0(b)
| ~ l0(X1)
| ~ p0(b,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_050) ).
cnf(axiom_5,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
cnf(rule_279,axiom,
( m4(X1,X2)
| ~ l2(X3,X2)
| ~ s3(a,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_279) ).
cnf(prove_this,negated_conjecture,
~ m4(e,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(rule_189,axiom,
( s2(X1)
| ~ q2(b,X1,b)
| ~ s1(b) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_189) ).
cnf(axiom_30,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_30) ).
cnf(axiom_20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
cnf(rule_177,axiom,
( q2(X1,X2,X2)
| ~ k0(X2)
| ~ p1(X1,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_177) ).
cnf(rule_054,axiom,
( n1(X1,X2,X2)
| ~ l0(X3)
| ~ l1(X3,X1)
| ~ n1(X1,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_054) ).
cnf(rule_002,axiom,
( l1(X1,X1)
| ~ n0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).
cnf(axiom_37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
cnf(rule_182,axiom,
( q2(X1,X2,X1)
| ~ p1(X1,X1,X3)
| ~ n1(X2,X1,X3)
| ~ q2(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_182) ).
cnf(axiom_32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
cnf(c_0_24,axiom,
( p1(X1,X1,X1)
| ~ p0(X2,X1) ),
rule_085 ).
cnf(c_0_25,axiom,
p0(b,X1),
axiom_14 ).
cnf(c_0_26,axiom,
( s1(X1)
| ~ q0(X1,X2)
| ~ s1(X3) ),
rule_126 ).
cnf(c_0_27,axiom,
q0(X1,d),
axiom_17 ).
cnf(c_0_28,axiom,
( s1(X1)
| ~ p0(X1,X1) ),
rule_125 ).
cnf(c_0_29,axiom,
( q2(X1,X1,X1)
| ~ p1(X1,X1,X1) ),
rule_181 ).
cnf(c_0_30,plain,
p1(X1,X1,X1),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,plain,
( s1(X1)
| ~ s1(X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,plain,
s1(b),
inference(spm,[status(thm)],[c_0_28,c_0_25]) ).
cnf(c_0_33,axiom,
( s3(X1,X2)
| ~ q2(X3,X1,X3)
| ~ s2(X1)
| ~ m0(X3,X4,X2) ),
rule_273 ).
cnf(c_0_34,plain,
q2(X1,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]) ).
cnf(c_0_35,axiom,
( l2(X1,X1)
| ~ p0(X2,X2)
| ~ s1(X3)
| ~ m0(X4,X3,X1) ),
rule_133 ).
cnf(c_0_36,plain,
s1(X1),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,plain,
( s3(X1,X2)
| ~ s2(X1)
| ~ m0(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,axiom,
m0(a,e,e),
axiom_23 ).
cnf(c_0_39,axiom,
( l2(X1,X2)
| ~ s1(X1)
| ~ n0(e,X2)
| ~ l2(X2,X2) ),
rule_131 ).
cnf(c_0_40,plain,
( l2(X1,X1)
| ~ p0(X2,X2)
| ~ m0(X3,X4,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36])]) ).
cnf(c_0_41,axiom,
m0(b,b,e),
axiom_31 ).
cnf(c_0_42,axiom,
( n1(X1,X2,X1)
| ~ s0(b)
| ~ l0(X1)
| ~ p0(b,X2) ),
rule_050 ).
cnf(c_0_43,axiom,
s0(b),
axiom_5 ).
cnf(c_0_44,axiom,
( m4(X1,X2)
| ~ l2(X3,X2)
| ~ s3(a,X1) ),
rule_279 ).
cnf(c_0_45,plain,
( s3(a,e)
| ~ s2(a) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_46,negated_conjecture,
~ m4(e,X1),
prove_this ).
cnf(c_0_47,axiom,
( s2(X1)
| ~ q2(b,X1,b)
| ~ s1(b) ),
rule_189 ).
cnf(c_0_48,plain,
( l2(X1,X2)
| ~ l2(X2,X2)
| ~ n0(e,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_36])]) ).
cnf(c_0_49,axiom,
n0(e,e),
axiom_30 ).
cnf(c_0_50,plain,
( l2(e,e)
| ~ p0(X1,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_51,plain,
( n1(X1,X2,X1)
| ~ l0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43]),c_0_25])]) ).
cnf(c_0_52,axiom,
l0(a),
axiom_20 ).
cnf(c_0_53,plain,
( ~ s2(a)
| ~ l2(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).
cnf(c_0_54,plain,
( s2(X1)
| ~ q2(b,X1,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_32])]) ).
cnf(c_0_55,plain,
( l2(X1,e)
| ~ l2(e,e) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_56,plain,
l2(e,e),
inference(spm,[status(thm)],[c_0_50,c_0_25]) ).
cnf(c_0_57,axiom,
( q2(X1,X2,X2)
| ~ k0(X2)
| ~ p1(X1,X1,X1) ),
rule_177 ).
cnf(c_0_58,axiom,
( n1(X1,X2,X2)
| ~ l0(X3)
| ~ l1(X3,X1)
| ~ n1(X1,X2,X1) ),
rule_054 ).
cnf(c_0_59,plain,
n1(a,X1,a),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_60,axiom,
( l1(X1,X1)
| ~ n0(X2,X1) ),
rule_002 ).
cnf(c_0_61,axiom,
n0(b,a),
axiom_37 ).
cnf(c_0_62,plain,
( ~ q2(b,a,b)
| ~ l2(X1,X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_63,plain,
l2(X1,e),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_56])]) ).
cnf(c_0_64,axiom,
( q2(X1,X2,X1)
| ~ p1(X1,X1,X3)
| ~ n1(X2,X1,X3)
| ~ q2(X2,X3,X1) ),
rule_182 ).
cnf(c_0_65,plain,
( q2(X1,X2,X2)
| ~ k0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_30])]) ).
cnf(c_0_66,plain,
( n1(a,X1,X1)
| ~ l1(X2,a)
| ~ l0(X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_67,plain,
l1(a,a),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_68,plain,
~ q2(b,a,b),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_69,plain,
( q2(X1,X2,X1)
| ~ n1(X2,X1,X1)
| ~ k0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_30])]) ).
cnf(c_0_70,plain,
n1(a,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_52])]) ).
cnf(c_0_71,axiom,
k0(b),
axiom_32 ).
cnf(c_0_72,plain,
$false,
inference(cn,[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_71])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN253-1 : TPTP v9.2.1. Released v1.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.33 % Computer : n010.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 08:24:06 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.49/1.76 % Version : CSE_E---1.7
% 1.49/1.76 % Problem : theBenchmark.p
% 1.49/1.76 % SZS status Unsatisfiable for theBenchmark.p
% 1.49/1.76 % SZS output start CNFRefutation
% See solution above
% 1.49/1.76 % Total time : 1.374s
%------------------------------------------------------------------------------