TSTP Solution File: SYN687-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN687-1 : 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 12:23:40 EDT 2022
% Result : Unsatisfiable 0.51s 0.68s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of clauses : 14 ( 4 unt; 7 nHn; 14 RR)
% Number of literals : 32 ( 0 equ; 9 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 12 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(19,axiom,
p34(c36,c37),
file('SYN687-1.p',unknown),
[] ).
cnf(40,axiom,
~ p4(f5(u,f7(c38,u)),f5(f9(c39,u),f7(c38,u))),
file('SYN687-1.p',unknown),
[] ).
cnf(55,axiom,
( p35(f12(c37,f14(f16(f18(c40,u),v),w)),w)
| p4(f5(f9(c39,u),w),f5(f9(c39,v),w)) ),
file('SYN687-1.p',unknown),
[] ).
cnf(56,axiom,
( ~ p4(f5(u,f14(f16(f18(c40,u),v),w)),f5(v,f14(f16(f18(c40,u),v),w)))
| p4(f5(f9(c39,u),w),f5(f9(c39,v),w)) ),
file('SYN687-1.p',unknown),
[] ).
cnf(57,axiom,
( ~ p34(c36,u)
| ~ p35(f12(u,v),f30(f32(c45,u),w))
| p4(f5(f26(f28(c46,u),w),x),f5(f9(w,f26(f28(c46,u),w)),x))
| p4(f5(f26(f28(c46,u),w),v),f5(f26(f28(c47,u),w),v)) ),
file('SYN687-1.p',unknown),
[] ).
cnf(58,axiom,
( ~ p34(c36,u)
| ~ p4(f5(f9(v,f26(f28(c46,u),v)),f30(f32(c45,u),v)),f5(f9(v,f26(f28(c47,u),v)),f30(f32(c45,u),v)))
| p4(f5(f26(f28(c46,u),v),w),f5(f9(v,f26(f28(c46,u),v)),w)) ),
file('SYN687-1.p',unknown),
[] ).
cnf(158,plain,
( ~ p34(c36,c37)
| p4(f5(f9(c39,u),f30(f32(c45,c37),v)),f5(f9(c39,w),f30(f32(c45,c37),v)))
| p4(f5(f26(f28(c46,c37),v),x),f5(f9(v,f26(f28(c46,c37),v)),x))
| p4(f5(f26(f28(c46,c37),v),f14(f16(f18(c40,u),w),f30(f32(c45,c37),v))),f5(f26(f28(c47,c37),v),f14(f16(f18(c40,u),w),f30(f32(c45,c37),v)))) ),
inference(res,[status(thm),theory(equality)],[55,57]),
[iquote('0:Res:55.0,57.1')] ).
cnf(159,plain,
( p4(f5(f9(c39,u),f30(f32(c45,c37),v)),f5(f9(c39,w),f30(f32(c45,c37),v)))
| p4(f5(f26(f28(c46,c37),v),x),f5(f9(v,f26(f28(c46,c37),v)),x))
| p4(f5(f26(f28(c46,c37),v),f14(f16(f18(c40,u),w),f30(f32(c45,c37),v))),f5(f26(f28(c47,c37),v),f14(f16(f18(c40,u),w),f30(f32(c45,c37),v)))) ),
inference(mrr,[status(thm)],[158,19]),
[iquote('0:MRR:158.0,19.0')] ).
cnf(388,plain,
( p4(f5(f9(c39,f26(f28(c46,c37),u)),f30(f32(c45,c37),u)),f5(f9(c39,f26(f28(c47,c37),u)),f30(f32(c45,c37),u)))
| p4(f5(f26(f28(c46,c37),u),v),f5(f9(u,f26(f28(c46,c37),u)),v))
| p4(f5(f9(c39,f26(f28(c46,c37),u)),f30(f32(c45,c37),u)),f5(f9(c39,f26(f28(c47,c37),u)),f30(f32(c45,c37),u))) ),
inference(res,[status(thm),theory(equality)],[159,56]),
[iquote('0:Res:159.2,56.0')] ).
cnf(391,plain,
( p4(f5(f26(f28(c46,c37),u),v),f5(f9(u,f26(f28(c46,c37),u)),v))
| p4(f5(f9(c39,f26(f28(c46,c37),u)),f30(f32(c45,c37),u)),f5(f9(c39,f26(f28(c47,c37),u)),f30(f32(c45,c37),u))) ),
inference(obv,[status(thm),theory(equality)],[388]),
[iquote('0:Obv:388.0')] ).
cnf(838,plain,
( ~ p34(c36,c37)
| p4(f5(f26(f28(c46,c37),c39),u),f5(f9(c39,f26(f28(c46,c37),c39)),u))
| p4(f5(f26(f28(c46,c37),c39),v),f5(f9(c39,f26(f28(c46,c37),c39)),v)) ),
inference(res,[status(thm),theory(equality)],[391,58]),
[iquote('0:Res:391.1,58.1')] ).
cnf(847,plain,
( ~ p34(c36,c37)
| p4(f5(f26(f28(c46,c37),c39),u),f5(f9(c39,f26(f28(c46,c37),c39)),u)) ),
inference(con,[status(thm)],[838]),
[iquote('0:Con:838.2')] ).
cnf(848,plain,
p4(f5(f26(f28(c46,c37),c39),u),f5(f9(c39,f26(f28(c46,c37),c39)),u)),
inference(mrr,[status(thm)],[847,19]),
[iquote('0:MRR:847.0,19.0')] ).
cnf(849,plain,
$false,
inference(unc,[status(thm)],[848,40]),
[iquote('0:UnC:848.0,40.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN687-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 16:13:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.51/0.68
% 0.51/0.68 SPASS V 3.9
% 0.51/0.68 SPASS beiseite: Proof found.
% 0.51/0.68 % SZS status Theorem
% 0.51/0.68 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/0.68 SPASS derived 766 clauses, backtracked 0 clauses, performed 0 splits and kept 609 clauses.
% 0.51/0.68 SPASS allocated 64480 KBytes.
% 0.51/0.68 SPASS spent 0:00:00.32 on the problem.
% 0.51/0.68 0:00:00.04 for the input.
% 0.51/0.68 0:00:00.00 for the FLOTTER CNF translation.
% 0.51/0.68 0:00:00.02 for inferences.
% 0.51/0.68 0:00:00.00 for the backtracking.
% 0.51/0.68 0:00:00.23 for the reduction.
% 0.51/0.68
% 0.51/0.68
% 0.51/0.68 Here is a proof with depth 3, length 14 :
% 0.51/0.68 % SZS output start Refutation
% See solution above
% 0.51/0.68 Formulae used in the proof : p34_19 not_p4_40 p4_55 p4_56 p4_57 p4_58
% 0.51/0.68
%------------------------------------------------------------------------------