TSTP Solution File: SYN628-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN628-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 12:23:18 EDT 2022
% Result : Unsatisfiable 169.89s 170.12s
% Output : Refutation 169.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 22 ( 9 unt; 0 nHn; 22 RR)
% Number of literals : 50 ( 0 equ; 33 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 11 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
p2(u,u),
file('SYN628-1.p',unknown),
[] ).
cnf(2,axiom,
p9(u,u),
file('SYN628-1.p',unknown),
[] ).
cnf(6,axiom,
p9(c28,c22),
file('SYN628-1.p',unknown),
[] ).
cnf(13,axiom,
( ~ p9(u,v)
| p9(f16(u),f16(v)) ),
file('SYN628-1.p',unknown),
[] ).
cnf(20,axiom,
( ~ p9(u,v)
| ~ p9(u,w)
| p9(w,v) ),
file('SYN628-1.p',unknown),
[] ).
cnf(26,axiom,
( ~ p20(u,v)
| ~ p9(v,w)
| ~ p9(u,x)
| p20(x,w) ),
file('SYN628-1.p',unknown),
[] ).
cnf(29,axiom,
( ~ p9(u,v)
| ~ p9(w,x)
| p9(f17(w,u),f17(x,v)) ),
file('SYN628-1.p',unknown),
[] ).
cnf(30,axiom,
( ~ p9(u,v)
| ~ p2(w,x)
| p9(f15(w,u),f15(x,v)) ),
file('SYN628-1.p',unknown),
[] ).
cnf(31,axiom,
( ~ p9(u,v)
| ~ p9(w,x)
| p9(f10(w,u),f10(x,v)) ),
file('SYN628-1.p',unknown),
[] ).
cnf(34,axiom,
p20(f16(f17(c28,c27)),f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29)))))),
file('SYN628-1.p',unknown),
[] ).
cnf(35,axiom,
~ p20(f16(f17(c22,c27)),f10(f15(f7(c23,f8(c24,c25)),c22),f11(f12(f13(f14(c29)))))),
file('SYN628-1.p',unknown),
[] ).
cnf(60,plain,
( ~ p9(u,v)
| p9(v,u) ),
inference(res,[status(thm),theory(equality)],[2,20]),
[iquote('0:Res:2.0,20.0')] ).
cnf(65,plain,
p9(c22,c28),
inference(res,[status(thm),theory(equality)],[6,60]),
[iquote('0:Res:6.0,60.0')] ).
cnf(98,plain,
( ~ p9(u,v)
| ~ p2(w,x)
| p9(f15(x,v),f15(w,u)) ),
inference(res,[status(thm),theory(equality)],[30,60]),
[iquote('0:Res:30.2,60.0')] ).
cnf(254,plain,
( ~ p9(f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29))))),u)
| ~ p9(f16(f17(c28,c27)),v)
| p20(v,u) ),
inference(res,[status(thm),theory(equality)],[34,26]),
[iquote('0:Res:34.0,26.0')] ).
cnf(730,plain,
( ~ p9(f11(f12(f13(f14(c29)))),u)
| ~ p9(f15(f7(c23,f8(c24,c25)),c28),v)
| ~ p9(f16(f17(c28,c27)),w)
| p20(w,f10(v,u)) ),
inference(res,[status(thm),theory(equality)],[31,254]),
[iquote('0:Res:31.2,254.0')] ).
cnf(3033,plain,
( ~ p9(u,c28)
| ~ p2(v,f7(c23,f8(c24,c25)))
| ~ p9(f11(f12(f13(f14(c29)))),w)
| ~ p9(f16(f17(c28,c27)),x)
| p20(x,f10(f15(v,u),w)) ),
inference(res,[status(thm),theory(equality)],[98,730]),
[iquote('0:Res:98.2,730.1')] ).
cnf(32229,plain,
( ~ p9(c22,c28)
| ~ p2(f7(c23,f8(c24,c25)),f7(c23,f8(c24,c25)))
| ~ p9(f11(f12(f13(f14(c29)))),f11(f12(f13(f14(c29)))))
| ~ p9(f16(f17(c28,c27)),f16(f17(c22,c27))) ),
inference(res,[status(thm),theory(equality)],[3033,35]),
[iquote('0:Res:3033.4,35.0')] ).
cnf(32230,plain,
~ p9(f16(f17(c28,c27)),f16(f17(c22,c27))),
inference(mrr,[status(thm)],[32229,65,1,2]),
[iquote('0:MRR:32229.0,32229.1,32229.2,65.0,1.0,2.0')] ).
cnf(32239,plain,
~ p9(f17(c28,c27),f17(c22,c27)),
inference(res,[status(thm),theory(equality)],[13,32230]),
[iquote('0:Res:13.1,32230.0')] ).
cnf(32241,plain,
( ~ p9(c27,c27)
| ~ p9(c28,c22) ),
inference(res,[status(thm),theory(equality)],[29,32239]),
[iquote('0:Res:29.2,32239.0')] ).
cnf(32243,plain,
$false,
inference(mrr,[status(thm)],[32241,2,6]),
[iquote('0:MRR:32241.0,32241.1,2.0,6.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN628-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n023.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 00:59:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 169.89/170.12
% 169.89/170.12 SPASS V 3.9
% 169.89/170.12 SPASS beiseite: Proof found.
% 169.89/170.12 % SZS status Theorem
% 169.89/170.12 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 169.89/170.12 SPASS derived 31752 clauses, backtracked 0 clauses, performed 0 splits and kept 22393 clauses.
% 169.89/170.12 SPASS allocated 83469 KBytes.
% 169.89/170.12 SPASS spent 0:2:48.69 on the problem.
% 169.89/170.12 0:00:00.04 for the input.
% 169.89/170.12 0:00:00.00 for the FLOTTER CNF translation.
% 169.89/170.12 0:00:00.37 for inferences.
% 169.89/170.12 0:00:00.00 for the backtracking.
% 169.89/170.12 0:2:48.05 for the reduction.
% 169.89/170.12
% 169.89/170.12
% 169.89/170.12 Here is a proof with depth 6, length 22 :
% 169.89/170.12 % SZS output start Refutation
% See solution above
% 169.89/170.12 Formulae used in the proof : p2_1 p9_2 p9_6 p9_13 p9_20 p20_26 p9_29 p9_30 p9_31 p20_34 not_p20_35
% 169.89/170.12
%------------------------------------------------------------------------------