TSTP Solution File: SYN651-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN651-1 : 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 12:23:27 EDT 2022
% Result : Unsatisfiable 16.03s 16.30s
% Output : Refutation 16.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 5 unt; 0 nHn; 14 RR)
% Number of literals : 31 ( 0 equ; 19 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 13 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(13,axiom,
p23(f5(c27,c28),c30),
file('SYN651-1.p',unknown),
[] ).
cnf(26,axiom,
p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29),
file('SYN651-1.p',unknown),
[] ).
cnf(28,axiom,
~ p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
file('SYN651-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ p23(f5(f7(f10(c24,f12(c25,u)),v),w),x)
| p23(f5(v,f14(f16(f18(f20(c31,u),w),v),x)),x) ),
file('SYN651-1.p',unknown),
[] ).
cnf(43,axiom,
( ~ p23(f5(u,v),w)
| ~ p23(f5(f7(f10(c24,x),u),y),v)
| p23(f5(f7(f10(c24,f12(c25,x)),u),y),w) ),
file('SYN651-1.p',unknown),
[] ).
cnf(44,axiom,
( ~ p23(f5(c27,u),v)
| ~ p23(f5(f7(f10(c24,c26),c27),v),w)
| p23(f5(f7(f10(c24,f12(c25,c26)),c27),u),w) ),
file('SYN651-1.p',unknown),
[] ).
cnf(45,axiom,
( ~ p23(f5(f7(f10(c24,f12(c25,u)),v),w),x)
| p23(f5(f7(f10(c24,u),v),w),f14(f16(f18(f20(c31,u),w),v),x)) ),
file('SYN651-1.p',unknown),
[] ).
cnf(162,plain,
( ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),u),v)
| ~ p23(f5(c27,w),u)
| p23(f5(f7(f10(c24,f12(c25,c26)),c27),w),f14(f16(f18(f20(c31,c26),u),c27),v)) ),
inference(res,[status(thm),theory(equality)],[45,44]),
[iquote('0:Res:45.1,44.1')] ).
cnf(423,plain,
( ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),u),v)
| ~ p23(f5(c27,w),u)
| ~ p23(f5(c27,f14(f16(f18(f20(c31,c26),u),c27),v)),x)
| p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),w),x) ),
inference(res,[status(thm),theory(equality)],[162,43]),
[iquote('0:Res:162.2,43.1')] ).
cnf(2142,plain,
( ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),u),v)
| ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),u),v)
| ~ p23(f5(c27,w),u)
| p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),w),v) ),
inference(res,[status(thm),theory(equality)],[41,423]),
[iquote('0:Res:41.1,423.2')] ).
cnf(2157,plain,
( ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),u),v)
| ~ p23(f5(c27,w),u)
| p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),w),v) ),
inference(obv,[status(thm),theory(equality)],[2142]),
[iquote('0:Obv:2142.0')] ).
cnf(8897,plain,
( ~ p23(f5(c27,u),c30)
| p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),u),c29) ),
inference(res,[status(thm),theory(equality)],[26,2157]),
[iquote('0:Res:26.0,2157.0')] ).
cnf(8951,plain,
~ p23(f5(c27,c28),c30),
inference(res,[status(thm),theory(equality)],[8897,28]),
[iquote('0:Res:8897.1,28.0')] ).
cnf(8959,plain,
$false,
inference(mrr,[status(thm)],[8951,13]),
[iquote('0:MRR:8951.0,13.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.11 % Problem : SYN651-1 : TPTP v8.1.0. Released v2.5.0.
% 0.01/0.12 % Command : run_spass %d %s
% 0.11/0.32 % Computer : n024.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Tue Jul 12 01:00:43 EDT 2022
% 0.11/0.32 % CPUTime :
% 16.03/16.30
% 16.03/16.30 SPASS V 3.9
% 16.03/16.30 SPASS beiseite: Proof found.
% 16.03/16.30 % SZS status Theorem
% 16.03/16.30 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.03/16.30 SPASS derived 8191 clauses, backtracked 0 clauses, performed 0 splits and kept 6813 clauses.
% 16.03/16.30 SPASS allocated 75118 KBytes.
% 16.03/16.30 SPASS spent 0:0:15.83 on the problem.
% 16.03/16.30 0:00:00.04 for the input.
% 16.03/16.30 0:00:00.00 for the FLOTTER CNF translation.
% 16.03/16.30 0:00:00.24 for inferences.
% 16.03/16.30 0:00:00.00 for the backtracking.
% 16.03/16.30 0:0:15.47 for the reduction.
% 16.03/16.30
% 16.03/16.30
% 16.03/16.30 Here is a proof with depth 5, length 14 :
% 16.03/16.30 % SZS output start Refutation
% See solution above
% 16.03/16.30 Formulae used in the proof : p23_13 p23_26 not_p23_28 p23_41 p23_43 p23_44 p23_45
% 16.03/16.30
%------------------------------------------------------------------------------