%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN626-1 : 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 : n010.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 05:39:47 PM UTC 2026
% Result : Unsatisfiable 1.28s 1.71s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 22 ( 10 unt; 0 nHn; 18 RR)
% Number of literals : 42 ( 0 equ; 23 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p7_17,negated_conjecture,
( p7(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_17) ).
cnf(p7_2,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_2) ).
cnf(p15_31,negated_conjecture,
( p15(X1,X2)
| ~ p6(X3,X1)
| ~ p7(X4,X2)
| ~ p15(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_31) ).
cnf(p15_9,negated_conjecture,
p15(c22,f8(f5(c20),f9(c23,c24))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_9) ).
cnf(p7_15,negated_conjecture,
( p7(f12(f13(X1)),X1)
| ~ p16(c22,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_15) ).
cnf(not_p15_24,negated_conjecture,
~ p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p15_24) ).
cnf(p6_3,negated_conjecture,
p6(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_3) ).
cnf(p16_8,negated_conjecture,
( p16(X1,X2)
| ~ p15(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_8) ).
cnf(c_0_8,negated_conjecture,
( p7(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X3,X2) ),
p7_17 ).
cnf(c_0_9,negated_conjecture,
p7(X1,X1),
p7_2 ).
cnf(c_0_10,negated_conjecture,
( p15(X1,X2)
| ~ p6(X3,X1)
| ~ p7(X4,X2)
| ~ p15(X3,X4) ),
p15_31 ).
cnf(c_0_11,negated_conjecture,
p15(c22,f8(f5(c20),f9(c23,c24))),
p15_9 ).
cnf(c_0_12,negated_conjecture,
( p7(X1,X2)
| ~ p7(X2,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
( p7(f12(f13(X1)),X1)
| ~ p16(c22,X1) ),
p7_15 ).
cnf(c_0_14,negated_conjecture,
( p15(X1,X2)
| ~ p6(c22,X1)
| ~ p7(f8(f5(c20),f9(c23,c24)),X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( p7(X1,f12(f13(X1)))
| ~ p16(c22,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
~ p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),
not_p15_24 ).
cnf(c_0_17,negated_conjecture,
( p15(X1,f12(f13(f8(f5(c20),f9(c23,c24)))))
| ~ p16(c22,f8(f5(c20),f9(c23,c24)))
| ~ p6(c22,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
p6(X1,X1),
p6_3 ).
cnf(c_0_19,negated_conjecture,
~ p16(c22,f8(f5(c20),f9(c23,c24))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_20,negated_conjecture,
( p16(X1,X2)
| ~ p15(X1,X2) ),
p16_8 ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN626-1 : 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
% 0.15/0.32 % Computer : n010.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 08:41:06 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.28/1.71 % Version : CSE_E---1.7
% 1.28/1.71 % Problem : theBenchmark.p
% 1.28/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.28/1.71 % SZS output start CNFRefutation
% See solution above
% 1.28/1.71 % Total time : 1.368s
%------------------------------------------------------------------------------