TSTP Solution File: SYN655-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN655-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 12:23:28 EDT 2022
% Result : Unsatisfiable 1.16s 1.35s
% Output : Refutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 6 unt; 0 nHn; 21 RR)
% Number of literals : 43 ( 0 equ; 23 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 25 con; 0-8 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
p9(u,u),
file('SYN655-1.p',unknown),
[] ).
cnf(10,axiom,
~ p9(c22,c23),
file('SYN655-1.p',unknown),
[] ).
cnf(17,axiom,
( ~ p9(u,v)
| ~ p9(u,w)
| p9(w,v) ),
file('SYN655-1.p',unknown),
[] ).
cnf(27,axiom,
p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33)),
file('SYN655-1.p',unknown),
[] ).
cnf(30,axiom,
( ~ p3(f11(u,v,w,x,y,z),f11(x1,x2,x3,x4,x5,x6))
| p9(y,x5) ),
file('SYN655-1.p',unknown),
[] ).
cnf(35,axiom,
( ~ p21(f11(u,v,w,x,y,z),x1)
| p9(y,f15(x2,u,v,z,x1,w,x,y)) ),
file('SYN655-1.p',unknown),
[] ).
cnf(48,axiom,
( ~ p21(f11(u,v,w,x,y,z),x1)
| p3(x1,f11(f19(x2,u,v,z,x1,w,x,y),f18(x2,u,v,z,x1,w,x,y),f17(x2,u,v,z,x1,w,x,y),f16(x2,u,v,z,x1,w,x,y),f15(x2,u,v,z,x1,w,x,y),f14(x2,u,v,z,x1,w,x,y))) ),
file('SYN655-1.p',unknown),
[] ).
cnf(70,plain,
( ~ p9(u,v)
| p9(v,u) ),
inference(res,[status(thm),theory(equality)],[2,17]),
[iquote('0:Res:2.0,17.0')] ).
cnf(327,plain,
( ~ p21(f11(u,v,w,x,y,z),x1)
| ~ p9(y,x2)
| p9(x2,f15(x3,u,v,z,x1,w,x,y)) ),
inference(res,[status(thm),theory(equality)],[35,17]),
[iquote('0:Res:35.1,17.0')] ).
cnf(909,plain,
( ~ p21(f11(u,v,w,x,y,z),f11(x1,x2,x3,x4,x5,x6))
| p9(x5,f15(x7,u,v,z,f11(x1,x2,x3,x4,x5,x6),w,x,y)) ),
inference(res,[status(thm),theory(equality)],[48,30]),
[iquote('0:Res:48.1,30.0')] ).
cnf(1057,plain,
( ~ p21(f11(u,v,w,x,y,z),x1)
| ~ p9(y,x2)
| ~ p9(x2,x3)
| p9(x3,f15(x4,u,v,z,x1,w,x,y)) ),
inference(res,[status(thm),theory(equality)],[327,17]),
[iquote('0:Res:327.2,17.0')] ).
cnf(1598,plain,
( ~ p21(f11(u,v,w,x,y,z),f11(x1,x2,x3,x4,x5,x6))
| p9(f15(x7,u,v,z,f11(x1,x2,x3,x4,x5,x6),w,x,y),x5) ),
inference(res,[status(thm),theory(equality)],[909,70]),
[iquote('0:Res:909.1,70.0')] ).
cnf(2985,plain,
( ~ p9(c22,u)
| ~ p9(u,v)
| p9(v,f15(w,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)) ),
inference(res,[status(thm),theory(equality)],[27,1057]),
[iquote('0:Res:27.0,1057.0')] ).
cnf(3944,plain,
( ~ p9(c22,u)
| p9(u,f15(v,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)) ),
inference(res,[status(thm),theory(equality)],[2,2985]),
[iquote('0:Res:2.0,2985.0')] ).
cnf(3951,plain,
( ~ p9(c22,u)
| p9(f15(v,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),u) ),
inference(res,[status(thm),theory(equality)],[3944,70]),
[iquote('0:Res:3944.1,70.0')] ).
cnf(3957,plain,
( ~ p9(c22,u)
| ~ p9(f15(v,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),w)
| p9(w,u) ),
inference(res,[status(thm),theory(equality)],[3951,17]),
[iquote('0:Res:3951.1,17.0')] ).
cnf(4148,plain,
( ~ p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33))
| ~ p9(c22,u)
| p9(c23,u) ),
inference(res,[status(thm),theory(equality)],[1598,3957]),
[iquote('0:Res:1598.1,3957.1')] ).
cnf(4149,plain,
( ~ p9(c22,u)
| p9(c23,u) ),
inference(mrr,[status(thm)],[4148,27]),
[iquote('0:MRR:4148.0,27.0')] ).
cnf(4157,plain,
p9(c23,c22),
inference(res,[status(thm),theory(equality)],[2,4149]),
[iquote('0:Res:2.0,4149.0')] ).
cnf(4163,plain,
p9(c22,c23),
inference(res,[status(thm),theory(equality)],[4157,70]),
[iquote('0:Res:4157.0,70.0')] ).
cnf(4165,plain,
$false,
inference(mrr,[status(thm)],[4163,10]),
[iquote('0:MRR:4163.0,10.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN655-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n020.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 : Mon Jul 11 22:07:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.16/1.35
% 1.16/1.35 SPASS V 3.9
% 1.16/1.35 SPASS beiseite: Proof found.
% 1.16/1.35 % SZS status Theorem
% 1.16/1.35 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.16/1.35 SPASS derived 4078 clauses, backtracked 0 clauses, performed 0 splits and kept 1089 clauses.
% 1.16/1.35 SPASS allocated 67246 KBytes.
% 1.16/1.35 SPASS spent 0:00:00.97 on the problem.
% 1.16/1.35 0:00:00.04 for the input.
% 1.16/1.35 0:00:00.00 for the FLOTTER CNF translation.
% 1.16/1.35 0:00:00.08 for inferences.
% 1.16/1.35 0:00:00.00 for the backtracking.
% 1.16/1.35 0:00:00.82 for the reduction.
% 1.16/1.35
% 1.16/1.35
% 1.16/1.35 Here is a proof with depth 9, length 21 :
% 1.16/1.35 % SZS output start Refutation
% See solution above
% 1.16/1.35 Formulae used in the proof : p9_2 not_p9_10 p9_17 p21_27 p9_30 p9_35 p3_48
% 1.16/1.35
%------------------------------------------------------------------------------