%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN714-1 : 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 : n021.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 05:39:58 PM UTC 2026
% Result : Unsatisfiable 1.29s 1.72s
% Output : CNFRefutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 20 ( 12 unt; 2 nHn; 18 RR)
% Number of literals : 38 ( 0 equ; 21 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 16 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p16_98,negated_conjecture,
( p16(f17(X1),c65)
| p50(X1,X2,c60)
| ~ p51(X1,X2)
| ~ p50(X1,X2,c62)
| ~ p52(f20(f21(c62,c64)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_98) ).
cnf(p52_28,negated_conjecture,
p52(f20(f21(c62,c64)),c66),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p52_28) ).
cnf(not_p16_24,negated_conjecture,
~ p16(f17(c66),c65),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p16_24) ).
cnf(p50_64,negated_conjecture,
( p50(c66,f25(f27(c59,X1),c67),c62)
| ~ p53(X1,f17(c66)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p50_64) ).
cnf(not_p50_33,negated_conjecture,
~ p50(c66,f25(f27(c59,c68),c67),c60),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p50_33) ).
cnf(p53_23,negated_conjecture,
p53(c68,f17(c66)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p53_23) ).
cnf(p51_87,negated_conjecture,
( p51(X1,f25(f27(X2,X3),X4))
| ~ p51(X1,X4)
| ~ p53(X3,f17(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p51_87) ).
cnf(p51_22,negated_conjecture,
p51(c66,c67),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p51_22) ).
cnf(c_0_8,negated_conjecture,
( p16(f17(X1),c65)
| p50(X1,X2,c60)
| ~ p51(X1,X2)
| ~ p50(X1,X2,c62)
| ~ p52(f20(f21(c62,c64)),X1) ),
p16_98 ).
cnf(c_0_9,negated_conjecture,
p52(f20(f21(c62,c64)),c66),
p52_28 ).
cnf(c_0_10,negated_conjecture,
~ p16(f17(c66),c65),
not_p16_24 ).
cnf(c_0_11,negated_conjecture,
( p50(c66,X1,c60)
| ~ p50(c66,X1,c62)
| ~ p51(c66,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
cnf(c_0_12,negated_conjecture,
( p50(c66,f25(f27(c59,X1),c67),c62)
| ~ p53(X1,f17(c66)) ),
p50_64 ).
cnf(c_0_13,negated_conjecture,
~ p50(c66,f25(f27(c59,c68),c67),c60),
not_p50_33 ).
cnf(c_0_14,negated_conjecture,
( p50(c66,f25(f27(c59,X1),c67),c60)
| ~ p53(X1,f17(c66))
| ~ p51(c66,f25(f27(c59,X1),c67)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
p53(c68,f17(c66)),
p53_23 ).
cnf(c_0_16,negated_conjecture,
~ p51(c66,f25(f27(c59,c68),c67)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_17,negated_conjecture,
( p51(X1,f25(f27(X2,X3),X4))
| ~ p51(X1,X4)
| ~ p53(X3,f17(X1)) ),
p51_87 ).
cnf(c_0_18,negated_conjecture,
p51(c66,c67),
p51_22 ).
cnf(c_0_19,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_15]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN714-1 : TPTP v9.2.1. Released v2.5.0.
% 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
% 0.16/0.33 % Computer : n021.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 08:44:40 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.29/1.72 % Version : CSE_E---1.7
% 1.29/1.72 % Problem : theBenchmark.p
% 1.29/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.29/1.72 % SZS output start CNFRefutation
% See solution above
% 1.29/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------