%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN166-1 : 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 : n026.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 05:36:19 PM UTC 2026
% Result : Unsatisfiable 1.36s 1.73s
% Output : CNFRefutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 21 ( 14 unt; 0 nHn; 15 RR)
% Number of literals : 32 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 13 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_088,axiom,
( p1(a,a,a)
| ~ l0(a) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_088) ).
cnf(axiom_20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
cnf(rule_087,axiom,
( p1(a,b,a)
| ~ r0(b)
| ~ p1(a,a,a) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_087) ).
cnf(axiom_9,axiom,
r0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
cnf(rule_082,axiom,
( p1(X1,X2,X3)
| ~ m0(X3,X1,X4)
| ~ p1(X3,X1,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_082) ).
cnf(axiom_12,axiom,
m0(a,X1,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_12) ).
cnf(prove_this,negated_conjecture,
~ p1(a,b,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(axiom_38,axiom,
m0(b,a,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_38) ).
cnf(c_0_8,axiom,
( p1(a,a,a)
| ~ l0(a) ),
rule_088 ).
cnf(c_0_9,axiom,
l0(a),
axiom_20 ).
cnf(c_0_10,axiom,
( p1(a,b,a)
| ~ r0(b)
| ~ p1(a,a,a) ),
rule_087 ).
cnf(c_0_11,axiom,
r0(b),
axiom_9 ).
cnf(c_0_12,plain,
p1(a,a,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]) ).
cnf(c_0_13,axiom,
( p1(X1,X2,X3)
| ~ m0(X3,X1,X4)
| ~ p1(X3,X1,X4) ),
rule_082 ).
cnf(c_0_14,plain,
p1(a,b,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).
cnf(c_0_15,axiom,
m0(a,X1,a),
axiom_12 ).
cnf(c_0_16,plain,
p1(b,X1,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_17,negated_conjecture,
~ p1(a,b,b),
prove_this ).
cnf(c_0_18,plain,
( p1(X1,X2,b)
| ~ m0(b,X1,a) ),
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_19,axiom,
m0(b,a,a),
axiom_38 ).
cnf(c_0_20,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN166-1 : 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 : n026.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 08:18:38 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.36/1.73 % Version : CSE_E---1.7
% 1.36/1.73 % Problem : theBenchmark.p
% 1.36/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.36/1.73 % SZS output start CNFRefutation
% See solution above
% 1.36/1.73 % Total time : 1.374s
%------------------------------------------------------------------------------