%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN619-1 : 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 : n014.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 1.25s 1.71s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 27 ( 11 unt; 12 nHn; 23 RR)
% Number of literals : 53 ( 0 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 22 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p18_27,negated_conjecture,
( p18(X1,f6(c19))
| p17(f3(c21),f15(X1))
| ~ p18(X1,f6(c25)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_27) ).
cnf(p18_7,negated_conjecture,
p18(c24,f6(c25)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_7) ).
cnf(p18_33,negated_conjecture,
( p18(X1,f6(c19))
| p8(X1,f9(f13(f14(X1),f15(X1)),f16(X1)))
| ~ p18(X1,f6(c25)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_33) ).
cnf(p18_24,negated_conjecture,
( p18(X1,f6(c19))
| p2(f14(X1),c20)
| ~ p18(X1,f6(c25)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_24) ).
cnf(p17_9,negated_conjecture,
( p17(X1,X2)
| ~ p17(f3(X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_9) ).
cnf(not_p2_32,negated_conjecture,
( ~ p2(X1,c20)
| ~ p17(c21,X2)
| ~ p8(c24,f9(f13(X1,X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_32) ).
cnf(p18_34,negated_conjecture,
( p18(X1,f6(f7(c22,c23)))
| p8(X1,f9(f13(c20,c21),f11(f12(f7(c22,c23)))))
| ~ p18(X1,f6(c19)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_34) ).
cnf(not_p18_8,negated_conjecture,
~ p18(c24,f6(f7(c22,c23))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p18_8) ).
cnf(p17_6,negated_conjecture,
p17(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_6) ).
cnf(p2_5,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
cnf(c_0_10,negated_conjecture,
( p18(X1,f6(c19))
| p17(f3(c21),f15(X1))
| ~ p18(X1,f6(c25)) ),
p18_27 ).
cnf(c_0_11,negated_conjecture,
p18(c24,f6(c25)),
p18_7 ).
cnf(c_0_12,negated_conjecture,
( p18(X1,f6(c19))
| p8(X1,f9(f13(f14(X1),f15(X1)),f16(X1)))
| ~ p18(X1,f6(c25)) ),
p18_33 ).
cnf(c_0_13,negated_conjecture,
( p18(X1,f6(c19))
| p2(f14(X1),c20)
| ~ p18(X1,f6(c25)) ),
p18_24 ).
cnf(c_0_14,negated_conjecture,
( p17(X1,X2)
| ~ p17(f3(X1),X2) ),
p17_9 ).
cnf(c_0_15,negated_conjecture,
( p18(c24,f6(c19))
| p17(f3(c21),f15(c24)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
( ~ p2(X1,c20)
| ~ p17(c21,X2)
| ~ p8(c24,f9(f13(X1,X2),X3)) ),
not_p2_32 ).
cnf(c_0_17,negated_conjecture,
( p18(c24,f6(c19))
| p8(c24,f9(f13(f14(c24),f15(c24)),f16(c24))) ),
inference(spm,[status(thm)],[c_0_12,c_0_11]) ).
cnf(c_0_18,negated_conjecture,
( p18(c24,f6(c19))
| p2(f14(c24),c20) ),
inference(spm,[status(thm)],[c_0_13,c_0_11]) ).
cnf(c_0_19,negated_conjecture,
( p18(c24,f6(c19))
| p17(c21,f15(c24)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( p18(X1,f6(f7(c22,c23)))
| p8(X1,f9(f13(c20,c21),f11(f12(f7(c22,c23)))))
| ~ p18(X1,f6(c19)) ),
p18_34 ).
cnf(c_0_21,negated_conjecture,
p18(c24,f6(c19)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]) ).
cnf(c_0_22,negated_conjecture,
~ p18(c24,f6(f7(c22,c23))),
not_p18_8 ).
cnf(c_0_23,negated_conjecture,
p8(c24,f9(f13(c20,c21),f11(f12(f7(c22,c23))))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_24,negated_conjecture,
p17(X1,X1),
p17_6 ).
cnf(c_0_25,negated_conjecture,
p2(X1,X1),
p2_5 ).
cnf(c_0_26,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_23]),c_0_24]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN619-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.11 % 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
% 0.16/0.32 % Computer : n014.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Tue May 5 08:41:51 EDT 2026
% 0.16/0.32 % CPUTime :
% 0.16/0.33 % start to proof: theBenchmark
% 1.25/1.71 % Version : CSE_E---1.7
% 1.25/1.71 % Problem : theBenchmark.p
% 1.25/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.25/1.71 % SZS output start CNFRefutation
% See solution above
% 1.25/1.71 % Total time : 1.371s
%------------------------------------------------------------------------------