TSTP Solution File: SYN630-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN630-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 : 600s
% DateTime : Thu Jul 21 12:23:19 EDT 2022
% Result : Unsatisfiable 0.71s 0.89s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 11 RR)
% Number of literals : 21 ( 0 equ; 11 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 15 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
p21(c28,f9(f10(f11(c29)))),
file('SYN630-1.p',unknown),
[] ).
cnf(6,axiom,
p21(c27,f12(f9(f10(f11(c29))),c24)),
file('SYN630-1.p',unknown),
[] ).
cnf(12,axiom,
~ p4(f5(f7(c23,f8(c24,c25)),c26),c27),
file('SYN630-1.p',unknown),
[] ).
cnf(17,axiom,
p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27),
file('SYN630-1.p',unknown),
[] ).
cnf(30,axiom,
p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))),
file('SYN630-1.p',unknown),
[] ).
cnf(34,axiom,
( ~ p21(u,f9(f10(f11(c29))))
| ~ p21(v,f12(f9(f10(f11(c29))),w))
| ~ p3(x,f13(f15(f17(f16(f9(f11(c29)))),u),f13(f15(f16(f9(f10(f11(c29)))),y),f14(f16(v),f15(f16(f9(f10(f11(c29)))),z)))))
| ~ p22(f12(f9(f10(f11(c29))),f18(w,f9(f11(c29)))),v)
| p4(f5(f7(x1,f8(w,z)),x),v) ),
file('SYN630-1.p',unknown),
[] ).
cnf(641,plain,
( ~ p21(c28,f9(f10(f11(c29))))
| ~ p21(c27,f12(f9(f10(f11(c29))),u))
| ~ p22(f12(f9(f10(f11(c29))),f18(u,f9(f11(c29)))),c27)
| p4(f5(f7(v,f8(u,c25)),c26),c27) ),
inference(res,[status(thm),theory(equality)],[30,34]),
[iquote('0:Res:30.0,34.2')] ).
cnf(642,plain,
( ~ p21(c27,f12(f9(f10(f11(c29))),u))
| ~ p22(f12(f9(f10(f11(c29))),f18(u,f9(f11(c29)))),c27)
| p4(f5(f7(v,f8(u,c25)),c26),c27) ),
inference(mrr,[status(thm)],[641,5]),
[iquote('0:MRR:641.0,5.0')] ).
cnf(1583,plain,
( ~ p21(c27,f12(f9(f10(f11(c29))),c24))
| p4(f5(f7(u,f8(c24,c25)),c26),c27) ),
inference(res,[status(thm),theory(equality)],[17,642]),
[iquote('0:Res:17.0,642.1')] ).
cnf(1584,plain,
p4(f5(f7(u,f8(c24,c25)),c26),c27),
inference(mrr,[status(thm)],[1583,6]),
[iquote('0:MRR:1583.0,6.0')] ).
cnf(1585,plain,
$false,
inference(unc,[status(thm)],[1584,12]),
[iquote('0:UnC:1584.0,12.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN630-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 12 05:08:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.71/0.89
% 0.71/0.89 SPASS V 3.9
% 0.71/0.89 SPASS beiseite: Proof found.
% 0.71/0.89 % SZS status Theorem
% 0.71/0.89 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/0.89 SPASS derived 1540 clauses, backtracked 0 clauses, performed 0 splits and kept 855 clauses.
% 0.71/0.89 SPASS allocated 64529 KBytes.
% 0.71/0.89 SPASS spent 0:00:00.54 on the problem.
% 0.71/0.89 0:00:00.04 for the input.
% 0.71/0.89 0:00:00.00 for the FLOTTER CNF translation.
% 0.71/0.89 0:00:00.02 for inferences.
% 0.71/0.89 0:00:00.00 for the backtracking.
% 0.71/0.89 0:00:00.45 for the reduction.
% 0.71/0.89
% 0.71/0.89
% 0.71/0.89 Here is a proof with depth 2, length 11 :
% 0.71/0.89 % SZS output start Refutation
% See solution above
% 0.71/0.89 Formulae used in the proof : p21_5 p21_6 not_p4_12 p22_17 p3_30 p4_34
% 0.71/0.89
%------------------------------------------------------------------------------