%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN624-1 : TPTP v9.2.1. Released v2.5.0.
% 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 : n022.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 05:39:46 PM UTC 2026
% Result : Unsatisfiable 3.69s 3.05s
% Output : CNFRefutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 19 ( 12 unt; 0 nHn; 10 RR)
% Number of literals : 31 ( 0 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p10_21,negated_conjecture,
( p10(X1,X2)
| ~ p10(X3,X1)
| ~ p10(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_21) ).
cnf(p10_1,negated_conjecture,
p10(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).
cnf(p10_26,negated_conjecture,
p10(f13(f6(c22),X1),f13(f6(c24),f16(c26,X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_26) ).
cnf(p10_32,negated_conjecture,
( p10(f13(X1,X2),f13(X3,X4))
| ~ p10(X2,X4)
| ~ p5(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_32) ).
cnf(not_p10_28,negated_conjecture,
~ p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p10_28) ).
cnf(p5_2,negated_conjecture,
p5(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_2) ).
cnf(p10_11,negated_conjecture,
p10(f16(X1,f14(f15(f7(c25)))),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_11) ).
cnf(c_0_7,negated_conjecture,
( p10(X1,X2)
| ~ p10(X3,X1)
| ~ p10(X3,X2) ),
p10_21 ).
cnf(c_0_8,negated_conjecture,
p10(X1,X1),
p10_1 ).
cnf(c_0_9,negated_conjecture,
( p10(X1,X2)
| ~ p10(X2,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,negated_conjecture,
p10(f13(f6(c22),X1),f13(f6(c24),f16(c26,X1))),
p10_26 ).
cnf(c_0_11,negated_conjecture,
p10(f13(f6(c24),f16(c26,X1)),f13(f6(c22),X1)),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
( p10(X1,f13(f6(c22),X2))
| ~ p10(f13(f6(c24),f16(c26,X2)),X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
( p10(f13(X1,X2),f13(X3,X4))
| ~ p10(X2,X4)
| ~ p5(X1,X3) ),
p10_32 ).
cnf(c_0_14,negated_conjecture,
~ p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25))))),
not_p10_28 ).
cnf(c_0_15,negated_conjecture,
( p10(f13(X1,X2),f13(f6(c22),X3))
| ~ p5(f6(c24),X1)
| ~ p10(f16(c26,X3),X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
p5(X1,X1),
p5_2 ).
cnf(c_0_17,negated_conjecture,
p10(f16(X1,f14(f15(f7(c25)))),X1),
p10_11 ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN624-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.13 % 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
% 0.16/0.34 % Computer : n022.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 08:41:21 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 3.69/3.05 % Version : CSE_E---1.7
% 3.69/3.05 % Problem : theBenchmark.p
% 3.69/3.05 % SZS status Unsatisfiable for theBenchmark.p
% 3.69/3.05 % SZS output start CNFRefutation
% See solution above
% 3.69/3.06 % Total time : 2.371s
%------------------------------------------------------------------------------