TSTP Solution File: SYN144-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN144-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.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 12:19:00 EDT 2022
% Result : Unsatisfiable 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 20
% Syntax : Number of clauses : 42 ( 21 unt; 0 nHn; 42 RR)
% Number of literals : 71 ( 0 equ; 33 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ m5(e,a),
file('SYN144-1.p',unknown),
[] ).
cnf(4,axiom,
n0(d,e),
file('SYN144-1.p',unknown),
[] ).
cnf(14,axiom,
r0(e),
file('SYN144-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN144-1.p',unknown),
[] ).
cnf(16,axiom,
n0(a,b),
file('SYN144-1.p',unknown),
[] ).
cnf(21,axiom,
l0(a),
file('SYN144-1.p',unknown),
[] ).
cnf(29,axiom,
k0(e),
file('SYN144-1.p',unknown),
[] ).
cnf(38,axiom,
n0(b,a),
file('SYN144-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN144-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ n0(u,v)
| l1(v,v) ),
file('SYN144-1.p',unknown),
[] ).
cnf(60,axiom,
( ~ k0(u)
| ~ l0(v)
| m1(v,u,v) ),
file('SYN144-1.p',unknown),
[] ).
cnf(124,axiom,
( ~ p0(u,v)
| p1(v,v,v) ),
file('SYN144-1.p',unknown),
[] ).
cnf(176,axiom,
( ~ p1(u,v,w)
| n2(w) ),
file('SYN144-1.p',unknown),
[] ).
cnf(194,axiom,
( ~ k1(u)
| ~ p2(e,v,w)
| p2(v,w,w) ),
file('SYN144-1.p',unknown),
[] ).
cnf(215,axiom,
( ~ m1(u,v,u)
| p2(v,u,v) ),
file('SYN144-1.p',unknown),
[] ).
cnf(283,axiom,
( ~ n2(u)
| p3(u,u,u) ),
file('SYN144-1.p',unknown),
[] ).
cnf(306,axiom,
( ~ p2(u,v,w)
| r3(u,w,u) ),
file('SYN144-1.p',unknown),
[] ).
cnf(324,axiom,
( ~ r0(u)
| ~ r3(v,u,v)
| p4(u,u,v) ),
file('SYN144-1.p',unknown),
[] ).
cnf(338,axiom,
( ~ l1(u,v)
| ~ p3(w,v,x)
| s4(u) ),
file('SYN144-1.p',unknown),
[] ).
cnf(342,axiom,
( ~ r0(u)
| ~ p4(u,v,w)
| m5(u,w) ),
file('SYN144-1.p',unknown),
[] ).
cnf(419,plain,
( ~ r0(e)
| ~ p4(e,u,a) ),
inference(res,[status(thm),theory(equality)],[342,1]),
[iquote('0:Res:342.2,1.0')] ).
cnf(420,plain,
~ p4(e,u,a),
inference(mrr,[status(thm)],[419,14]),
[iquote('0:MRR:419.0,14.0')] ).
cnf(457,plain,
k1(a),
inference(res,[status(thm),theory(equality)],[38,40]),
[iquote('0:Res:38.0,40.0')] ).
cnf(460,plain,
k1(e),
inference(res,[status(thm),theory(equality)],[4,40]),
[iquote('0:Res:4.0,40.0')] ).
cnf(461,plain,
k1(b),
inference(res,[status(thm),theory(equality)],[16,40]),
[iquote('0:Res:16.0,40.0')] ).
cnf(472,plain,
l1(a,a),
inference(res,[status(thm),theory(equality)],[38,41]),
[iquote('0:Res:38.0,41.0')] ).
cnf(475,plain,
l1(e,e),
inference(res,[status(thm),theory(equality)],[4,41]),
[iquote('0:Res:4.0,41.0')] ).
cnf(542,plain,
p1(u,u,u),
inference(res,[status(thm),theory(equality)],[15,124]),
[iquote('0:Res:15.0,124.0')] ).
cnf(546,plain,
n2(u),
inference(res,[status(thm),theory(equality)],[542,176]),
[iquote('0:Res:542.0,176.0')] ).
cnf(548,plain,
p3(u,u,u),
inference(mrr,[status(thm)],[283,546]),
[iquote('0:MRR:283.0,546.0')] ).
cnf(668,plain,
( ~ k0(u)
| ~ l0(v)
| p2(u,v,u) ),
inference(res,[status(thm),theory(equality)],[60,215]),
[iquote('0:Res:60.2,215.0')] ).
cnf(734,plain,
( ~ l1(u,v)
| s4(u) ),
inference(res,[status(thm),theory(equality)],[548,338]),
[iquote('0:Res:548.0,338.1')] ).
cnf(736,plain,
s4(a),
inference(res,[status(thm),theory(equality)],[472,734]),
[iquote('0:Res:472.0,734.0')] ).
cnf(738,plain,
s4(e),
inference(res,[status(thm),theory(equality)],[475,734]),
[iquote('0:Res:475.0,734.0')] ).
cnf(784,plain,
( ~ p2(e,u,v)
| p2(u,v,v) ),
inference(ems,[status(thm)],[194,461]),
[iquote('0:EmS:194.0,461.0')] ).
cnf(792,plain,
( ~ k0(e)
| ~ l0(u)
| p2(u,e,e) ),
inference(res,[status(thm),theory(equality)],[668,784]),
[iquote('0:Res:668.2,784.0')] ).
cnf(796,plain,
( ~ l0(u)
| p2(u,e,e) ),
inference(ssi,[status(thm)],[792,29,14,460,738]),
[iquote('0:SSi:792.0,29.0,14.0,460.0,738.0')] ).
cnf(824,plain,
( ~ l0(u)
| r3(u,e,u) ),
inference(res,[status(thm),theory(equality)],[796,306]),
[iquote('0:Res:796.1,306.0')] ).
cnf(847,plain,
( ~ l0(u)
| ~ r0(e)
| p4(e,e,u) ),
inference(res,[status(thm),theory(equality)],[824,324]),
[iquote('0:Res:824.1,324.1')] ).
cnf(848,plain,
( ~ l0(u)
| p4(e,e,u) ),
inference(ssi,[status(thm)],[847,29,14,460,738]),
[iquote('0:SSi:847.1,29.0,14.0,460.0,738.0')] ).
cnf(849,plain,
~ l0(a),
inference(res,[status(thm),theory(equality)],[848,420]),
[iquote('0:Res:848.1,420.0')] ).
cnf(851,plain,
$false,
inference(ssi,[status(thm)],[849,21,457,736]),
[iquote('0:SSi:849.0,21.0,457.0,736.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYN144-1 : TPTP v8.1.0. Released v1.1.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jul 11 15:02:15 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.51
% 0.21/0.51 SPASS V 3.9
% 0.21/0.51 SPASS beiseite: Proof found.
% 0.21/0.51 % SZS status Theorem
% 0.21/0.51 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.51 SPASS derived 372 clauses, backtracked 0 clauses, performed 0 splits and kept 538 clauses.
% 0.21/0.51 SPASS allocated 76285 KBytes.
% 0.21/0.51 SPASS spent 0:00:00.14 on the problem.
% 0.21/0.51 0:00:00.04 for the input.
% 0.21/0.51 0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.51 0:00:00.00 for inferences.
% 0.21/0.51 0:00:00.00 for the backtracking.
% 0.21/0.51 0:00:00.05 for the reduction.
% 0.21/0.51
% 0.21/0.51
% 0.21/0.51 Here is a proof with depth 6, length 42 :
% 0.21/0.51 % SZS output start Refutation
% See solution above
% 0.21/0.51 Formulae used in the proof : prove_this axiom_3 axiom_13 axiom_14 axiom_15 axiom_20 axiom_28 axiom_37 rule_001 rule_002 rule_021 rule_085 rule_137 rule_155 rule_176 rule_244 rule_267 rule_285 rule_299 rule_303
% 0.21/0.51
%------------------------------------------------------------------------------