%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN622-1 : 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 : 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 05:39:46 PM UTC 2026
% Result : Unsatisfiable 6.31s 4.56s
% Output : CNFRefutation 6.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 19 ( 12 unt; 0 nHn; 10 RR)
% Number of literals : 33 ( 0 equ; 16 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p8_21,negated_conjecture,
( p8(X1,X2)
| ~ p8(X3,X1)
| ~ p8(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_21) ).
cnf(p8_3,negated_conjecture,
p8(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_3) ).
cnf(p8_31,negated_conjecture,
( p8(f12(X1,X2),f12(X3,X4))
| ~ p11(X1,X3)
| ~ p8(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_31) ).
cnf(p8_24,negated_conjecture,
p8(f12(f13(c23),X1),f12(f13(c26),f16(c27,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_24) ).
cnf(not_p8_26,negated_conjecture,
~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p8_26) ).
cnf(p8_8,negated_conjecture,
p8(f16(X1,f17(X2,X1)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_8) ).
cnf(p11_1,negated_conjecture,
p11(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_1) ).
cnf(c_0_7,negated_conjecture,
( p8(X1,X2)
| ~ p8(X3,X1)
| ~ p8(X3,X2) ),
p8_21 ).
cnf(c_0_8,negated_conjecture,
p8(X1,X1),
p8_3 ).
cnf(c_0_9,negated_conjecture,
( p8(f12(X1,X2),f12(X3,X4))
| ~ p11(X1,X3)
| ~ p8(X2,X4) ),
p8_31 ).
cnf(c_0_10,negated_conjecture,
( p8(X1,X2)
| ~ p8(X2,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
p8(f12(f13(c23),X1),f12(f13(c26),f16(c27,X1))),
p8_24 ).
cnf(c_0_12,negated_conjecture,
( p8(X1,f12(X2,X3))
| ~ p8(f12(X4,X5),X1)
| ~ p8(X5,X3)
| ~ p11(X4,X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
p8(f12(f13(c26),f16(c27,X1)),f12(f13(c23),X1)),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28)),
not_p8_26 ).
cnf(c_0_15,negated_conjecture,
( p8(f12(f13(c23),X1),f12(X2,X3))
| ~ p8(f16(c27,X1),X3)
| ~ p11(f13(c26),X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
p8(f16(X1,f17(X2,X1)),X2),
p8_8 ).
cnf(c_0_17,negated_conjecture,
p11(X1,X1),
p11_1 ).
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
% 0.00/0.12 % Problem : SYN622-1 : 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 : n026.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 08:41:38 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 6.31/4.56 % Version : CSE_E---1.7
% 6.31/4.56 % Problem : theBenchmark.p
% 6.31/4.56 % SZS status Unsatisfiable for theBenchmark.p
% 6.31/4.56 % SZS output start CNFRefutation
% See solution above
% 6.31/4.58 % Total time : 3.373s
%------------------------------------------------------------------------------