%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN598-1 : 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 : n027.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 05:39:43 PM UTC 2026
% Result : Unsatisfiable 15.79s 10.02s
% Output : CNFRefutation 15.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 11 unt; 0 nHn; 17 RR)
% Number of literals : 44 ( 0 equ; 23 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p7_25,negated_conjecture,
( p7(f11(X1,X2),f11(X3,X4))
| ~ p3(X2,X4)
| ~ p7(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_25) ).
cnf(p7_3,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).
cnf(p7_26,negated_conjecture,
( p7(f10(X1,X2),f10(X3,X4))
| ~ p7(X2,X4)
| ~ p7(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_26) ).
cnf(p3_7,negated_conjecture,
p3(f4(f6(c21)),c22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_7) ).
cnf(p19_23,negated_conjecture,
( p19(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X4,X2)
| ~ p19(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_23) ).
cnf(p19_28,negated_conjecture,
( p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(X1))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(X1)))
| ~ p18(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_28) ).
cnf(c21_is_p18_2,negated_conjecture,
p18(c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c21_is_p18_2) ).
cnf(not_p19_27,negated_conjecture,
~ p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p19_27) ).
cnf(c_0_8,negated_conjecture,
( p7(f11(X1,X2),f11(X3,X4))
| ~ p3(X2,X4)
| ~ p7(X1,X3) ),
p7_25 ).
cnf(c_0_9,negated_conjecture,
p7(X1,X1),
p7_3 ).
cnf(c_0_10,negated_conjecture,
( p7(f10(X1,X2),f10(X3,X4))
| ~ p7(X2,X4)
| ~ p7(X1,X3) ),
p7_26 ).
cnf(c_0_11,negated_conjecture,
( p7(f11(X1,X2),f11(X1,X3))
| ~ p3(X2,X3) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
p3(f4(f6(c21)),c22),
p3_7 ).
cnf(c_0_13,negated_conjecture,
( p19(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X4,X2)
| ~ p19(X3,X4) ),
p19_23 ).
cnf(c_0_14,negated_conjecture,
( p7(f10(X1,X2),f10(X3,X2))
| ~ p7(X1,X3) ),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_15,negated_conjecture,
p7(f11(X1,f4(f6(c21))),f11(X1,c22)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( p19(X1,X2)
| ~ p19(X3,X2)
| ~ p7(X3,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_9]) ).
cnf(c_0_17,negated_conjecture,
p7(f10(f11(X1,f4(f6(c21))),X2),f10(f11(X1,c22),X2)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
( p19(f10(f11(X1,c22),X2),X3)
| ~ p19(f10(f11(X1,f4(f6(c21))),X2),X3) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,negated_conjecture,
( p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(X1))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(X1)))
| ~ p18(X1) ),
p19_28 ).
cnf(c_0_20,negated_conjecture,
p18(c21),
c21_is_p18_2 ).
cnf(c_0_21,negated_conjecture,
~ p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),
not_p19_27 ).
cnf(c_0_22,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN598-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.11 % 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
% 0.13/0.31 % Computer : n027.cluster.edu
% 0.13/0.31 % Model : x86_64 x86_64
% 0.13/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.31 % Memory : 8042.1875MB
% 0.13/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.31 % CPULimit : 300
% 0.13/0.31 % WCLimit : 300
% 0.13/0.31 % DateTime : Tue May 5 08:40:35 EDT 2026
% 0.13/0.32 % CPUTime :
% 0.13/0.33 % start to proof: theBenchmark
% 15.79/10.02 % Version : CSE_E---1.7
% 15.79/10.02 % Problem : theBenchmark.p
% 15.79/10.02 % SZS status Unsatisfiable for theBenchmark.p
% 15.79/10.02 % SZS output start CNFRefutation
% See solution above
% 15.91/10.08 % Total time : 7.382s
%------------------------------------------------------------------------------