%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN301-1 : 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 : n018.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 05:36:43 PM UTC 2026
% Result : Unsatisfiable 1.33s 1.73s
% Output : CNFRefutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 27 ( 14 unt; 0 nHn; 27 RR)
% Number of literals : 44 ( 0 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 21 ( 10 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_137,axiom,
( n2(X1)
| ~ p1(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_137) ).
cnf(rule_244,axiom,
( p3(X1,X1,X1)
| ~ n2(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_244) ).
cnf(rule_299,axiom,
( s4(X1)
| ~ p3(X2,X3,X4)
| ~ l1(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_299) ).
cnf(rule_002,axiom,
( l1(X1,X1)
| ~ n0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_002) ).
cnf(axiom_37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
cnf(prove_this,negated_conjecture,
~ s4(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(c_0_10,axiom,
( p1(a,a,a)
| ~ l0(a) ),
rule_088 ).
cnf(c_0_11,axiom,
l0(a),
axiom_20 ).
cnf(c_0_12,axiom,
( p1(a,b,a)
| ~ r0(b)
| ~ p1(a,a,a) ),
rule_087 ).
cnf(c_0_13,axiom,
r0(b),
axiom_9 ).
cnf(c_0_14,plain,
p1(a,a,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]) ).
cnf(c_0_15,axiom,
( n2(X1)
| ~ p1(X2,X3,X1) ),
rule_137 ).
cnf(c_0_16,plain,
p1(a,b,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_17,axiom,
( p3(X1,X1,X1)
| ~ n2(X1) ),
rule_244 ).
cnf(c_0_18,plain,
n2(a),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,axiom,
( s4(X1)
| ~ p3(X2,X3,X4)
| ~ l1(X1,X3) ),
rule_299 ).
cnf(c_0_20,plain,
p3(a,a,a),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,axiom,
( l1(X1,X1)
| ~ n0(X2,X1) ),
rule_002 ).
cnf(c_0_22,axiom,
n0(b,a),
axiom_37 ).
cnf(c_0_23,negated_conjecture,
~ s4(a),
prove_this ).
cnf(c_0_24,plain,
( s4(X1)
| ~ l1(X1,a) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
l1(a,a),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN301-1 : 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
% 0.15/0.33 % Computer : n018.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 08:26:02 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.33/1.73 % Version : CSE_E---1.7
% 1.33/1.73 % Problem : theBenchmark.p
% 1.33/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.33/1.73 % SZS output start CNFRefutation
% See solution above
% 1.33/1.73 % Total time : 1.375s
%------------------------------------------------------------------------------