TSTP Solution File: SYN636-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN636-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 12:23:21 EDT 2022
% Result : Unsatisfiable 0.92s 1.11s
% Output : Refutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 18 ( 8 unt; 6 nHn; 18 RR)
% Number of literals : 33 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 11 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
p3(u,u),
file('SYN636-1.p',unknown),
[] ).
cnf(7,axiom,
~ p3(c23,f8(c24)),
file('SYN636-1.p',unknown),
[] ).
cnf(8,axiom,
p3(f4(f6(u,f7(v,w))),v),
file('SYN636-1.p',unknown),
[] ).
cnf(17,axiom,
( ~ p3(u,v)
| ~ p3(u,w)
| p3(w,v) ),
file('SYN636-1.p',unknown),
[] ).
cnf(25,axiom,
~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)),
file('SYN636-1.p',unknown),
[] ).
cnf(27,axiom,
( ~ p22(u,f15(f6(c25,f7(c23,c26))))
| p21(f12(f13(c28,c29)),f12(f13(c28,u))) ),
file('SYN636-1.p',unknown),
[] ).
cnf(34,axiom,
( p3(f4(u),f8(c24))
| p22(f20(u,v,w),f15(u))
| p10(f11(u,c27,v),f11(u,c27,w)) ),
file('SYN636-1.p',unknown),
[] ).
cnf(37,axiom,
( ~ p21(f12(f13(u,v)),f12(f13(u,f20(w,u,v))))
| p3(f4(w),f8(c24))
| p10(f11(w,c27,u),f11(w,c27,v)) ),
file('SYN636-1.p',unknown),
[] ).
cnf(57,plain,
( ~ p3(u,v)
| p3(v,u) ),
inference(res,[status(thm),theory(equality)],[4,17]),
[iquote('0:Res:4.0,17.0')] ).
cnf(59,plain,
( ~ p3(f4(f6(u,f7(v,w))),x)
| p3(x,v) ),
inference(res,[status(thm),theory(equality)],[8,17]),
[iquote('0:Res:8.0,17.0')] ).
cnf(249,plain,
( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| p22(f20(f6(c25,f7(c23,c26)),c28,c29),f15(f6(c25,f7(c23,c26)))) ),
inference(res,[status(thm),theory(equality)],[34,25]),
[iquote('0:Res:34.2,25.0')] ).
cnf(688,plain,
( ~ p22(f20(u,c28,c29),f15(f6(c25,f7(c23,c26))))
| p3(f4(u),f8(c24))
| p10(f11(u,c27,c28),f11(u,c27,c29)) ),
inference(res,[status(thm),theory(equality)],[27,37]),
[iquote('0:Res:27.1,37.0')] ).
cnf(2601,plain,
( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)) ),
inference(res,[status(thm),theory(equality)],[249,688]),
[iquote('0:Res:249.1,688.0')] ).
cnf(2602,plain,
( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)) ),
inference(obv,[status(thm),theory(equality)],[2601]),
[iquote('0:Obv:2601.0')] ).
cnf(2603,plain,
p3(f4(f6(c25,f7(c23,c26))),f8(c24)),
inference(mrr,[status(thm)],[2602,25]),
[iquote('0:MRR:2602.1,25.0')] ).
cnf(2621,plain,
p3(f8(c24),c23),
inference(res,[status(thm),theory(equality)],[2603,59]),
[iquote('0:Res:2603.0,59.0')] ).
cnf(2639,plain,
p3(c23,f8(c24)),
inference(res,[status(thm),theory(equality)],[2621,57]),
[iquote('0:Res:2621.0,57.0')] ).
cnf(2647,plain,
$false,
inference(mrr,[status(thm)],[2639,7]),
[iquote('0:MRR:2639.0,7.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN636-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 12 06:02:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.92/1.11
% 0.92/1.11 SPASS V 3.9
% 0.92/1.11 SPASS beiseite: Proof found.
% 0.92/1.11 % SZS status Theorem
% 0.92/1.11 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.92/1.11 SPASS derived 2599 clauses, backtracked 0 clauses, performed 0 splits and kept 1275 clauses.
% 0.92/1.11 SPASS allocated 65484 KBytes.
% 0.92/1.11 SPASS spent 0:00:00.75 on the problem.
% 0.92/1.11 0:00:00.03 for the input.
% 0.92/1.11 0:00:00.00 for the FLOTTER CNF translation.
% 0.92/1.11 0:00:00.04 for inferences.
% 0.92/1.11 0:00:00.00 for the backtracking.
% 0.92/1.11 0:00:00.65 for the reduction.
% 0.92/1.11
% 0.92/1.11
% 0.92/1.11 Here is a proof with depth 4, length 18 :
% 0.92/1.11 % SZS output start Refutation
% See solution above
% 0.92/1.11 Formulae used in the proof : p3_4 not_p3_7 p3_8 p3_17 not_p10_25 p21_27 p3_34 p3_37
% 0.92/1.11
%------------------------------------------------------------------------------