%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN602-1 : TPTP v9.2.1. Released v2.5.0.
% 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 : n015.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 05:39:44 PM UTC 2026
% Result : Unsatisfiable 4.05s 3.23s
% Output : CNFRefutation 4.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 22 ( 13 unt; 0 nHn; 20 RR)
% Number of literals : 40 ( 0 equ; 21 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 30 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_14,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_14) ).
cnf(p2_2,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_2) ).
cnf(p2_21,negated_conjecture,
( p2(f6(X1,X2),f6(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_21) ).
cnf(p2_16,negated_conjecture,
p2(f7(f8(c21,c22),c20),f6(f5(c18),f3(c18))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_16) ).
cnf(not_p15_26,negated_conjecture,
( ~ p15(X1,c21)
| ~ p2(X1,f9(c20,X2))
| ~ p2(f7(f8(c21,X1),c20),f6(f5(c18),c19)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p15_26) ).
cnf(p15_3,negated_conjecture,
p15(c22,c21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_3) ).
cnf(p2_4,negated_conjecture,
p2(f3(c18),c19),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
cnf(p2_5,negated_conjecture,
p2(c22,f9(c20,c23)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
cnf(c_0_8,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_14 ).
cnf(c_0_9,negated_conjecture,
p2(X1,X1),
p2_2 ).
cnf(c_0_10,negated_conjecture,
( p2(f6(X1,X2),f6(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
p2_21 ).
cnf(c_0_11,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
p2(f7(f8(c21,c22),c20),f6(f5(c18),f3(c18))),
p2_16 ).
cnf(c_0_13,negated_conjecture,
( p2(X1,f6(X2,X3))
| ~ p2(f6(X4,X5),X1)
| ~ p2(X5,X3)
| ~ p2(X4,X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
p2(f6(f5(c18),f3(c18)),f7(f8(c21,c22),c20)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
( ~ p15(X1,c21)
| ~ p2(X1,f9(c20,X2))
| ~ p2(f7(f8(c21,X1),c20),f6(f5(c18),c19)) ),
not_p15_26 ).
cnf(c_0_16,negated_conjecture,
( p2(f7(f8(c21,c22),c20),f6(X1,X2))
| ~ p2(f3(c18),X2)
| ~ p2(f5(c18),X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
p15(c22,c21),
p15_3 ).
cnf(c_0_18,negated_conjecture,
p2(f3(c18),c19),
p2_4 ).
cnf(c_0_19,negated_conjecture,
p2(c22,f9(c20,c23)),
p2_5 ).
cnf(c_0_20,negated_conjecture,
~ p2(c22,f9(c20,X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18]),c_0_9])]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_19,c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN602-1 : TPTP v9.2.1. Released v2.5.0.
% 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
% 0.15/0.33 % Computer : n015.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 08:40:31 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 4.05/3.23 % Version : CSE_E---1.7
% 4.05/3.23 % Problem : theBenchmark.p
% 4.05/3.23 % SZS status Unsatisfiable for theBenchmark.p
% 4.05/3.23 % SZS output start CNFRefutation
% See solution above
% 4.05/3.24 % Total time : 2.372s
%------------------------------------------------------------------------------