%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN141-1 : 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 : 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 05:36:15 PM UTC 2026
% Result : Unsatisfiable 1.43s 1.75s
% Output : CNFRefutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 15
% Syntax : Number of clauses : 41 ( 21 unt; 0 nHn; 38 RR)
% Number of literals : 75 ( 0 equ; 39 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 40 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_107,axiom,
( q1(e,X1,X1)
| ~ m0(X1,d,X1)
| ~ m0(e,d,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_107) ).
cnf(axiom_19,axiom,
m0(X1,d,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
cnf(rule_274,axiom,
( k4(c)
| ~ n0(c,d)
| ~ q3(e,b)
| ~ n3(e) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_274) ).
cnf(axiom_34,axiom,
n0(c,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
cnf(prove_this,negated_conjecture,
~ m5(c,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(rule_304,axiom,
( m5(X1,X1)
| ~ k4(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_304) ).
cnf(rule_154,axiom,
( p2(X1,X1,X1)
| ~ q1(X1,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_154) ).
cnf(rule_003,axiom,
( l1(X1,X2)
| ~ p0(X3,X1)
| ~ r0(X4)
| ~ m0(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_003) ).
cnf(axiom_27,axiom,
m0(e,b,c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_27) ).
cnf(axiom_18,axiom,
p0(c,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_18) ).
cnf(rule_240,axiom,
( n3(X1)
| ~ p2(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_240) ).
cnf(rule_255,axiom,
( q3(X1,X2)
| ~ q2(X3,X1,X2)
| ~ n0(X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_255) ).
cnf(rule_186,axiom,
( q2(X1,X1,X2)
| ~ l1(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_186) ).
cnf(axiom_9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
cnf(axiom_30,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_30) ).
cnf(c_0_15,axiom,
( q1(e,X1,X1)
| ~ m0(X1,d,X1)
| ~ m0(e,d,X1) ),
rule_107 ).
cnf(c_0_16,axiom,
m0(X1,d,X2),
axiom_19 ).
cnf(c_0_17,axiom,
( k4(c)
| ~ n0(c,d)
| ~ q3(e,b)
| ~ n3(e) ),
rule_274 ).
cnf(c_0_18,axiom,
n0(c,d),
axiom_34 ).
cnf(c_0_19,negated_conjecture,
~ m5(c,X1),
prove_this ).
cnf(c_0_20,axiom,
( m5(X1,X1)
| ~ k4(X1) ),
rule_304 ).
cnf(c_0_21,axiom,
( p2(X1,X1,X1)
| ~ q1(X1,X1,X1) ),
rule_154 ).
cnf(c_0_22,plain,
q1(e,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_16])]) ).
cnf(c_0_23,axiom,
( l1(X1,X2)
| ~ p0(X3,X1)
| ~ r0(X4)
| ~ m0(X2,X1,X3) ),
rule_003 ).
cnf(c_0_24,axiom,
m0(e,b,c),
axiom_27 ).
cnf(c_0_25,axiom,
p0(c,b),
axiom_18 ).
cnf(c_0_26,plain,
( k4(c)
| ~ q3(e,b)
| ~ n3(e) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]) ).
cnf(c_0_27,negated_conjecture,
~ k4(c),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_28,axiom,
( n3(X1)
| ~ p2(X2,X3,X1) ),
rule_240 ).
cnf(c_0_29,plain,
p2(e,e,e),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_30,axiom,
( q3(X1,X2)
| ~ q2(X3,X1,X2)
| ~ n0(X3,X1) ),
rule_255 ).
cnf(c_0_31,axiom,
( q2(X1,X1,X2)
| ~ l1(X2,X1) ),
rule_186 ).
cnf(c_0_32,plain,
( l1(b,e)
| ~ r0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_33,axiom,
r0(b),
axiom_9 ).
cnf(c_0_34,plain,
( ~ q3(e,b)
| ~ n3(e) ),
inference(sr,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_35,plain,
n3(e),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_36,plain,
( q3(X1,X2)
| ~ l1(X2,X1)
| ~ n0(X1,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,plain,
l1(b,e),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_38,axiom,
n0(e,e),
axiom_30 ).
cnf(c_0_39,plain,
~ q3(e,b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]) ).
cnf(c_0_40,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]),c_0_39]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN141-1 : 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
% 0.16/0.33 % Computer : n019.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 08:15:29 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.43/1.75 % Version : CSE_E---1.7
% 1.43/1.75 % Problem : theBenchmark.p
% 1.43/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 1.43/1.75 % SZS output start CNFRefutation
% See solution above
% 1.43/1.75 % Total time : 1.373s
%------------------------------------------------------------------------------