TSTP Solution File: SYN158-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN158-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n013.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 12:19:06 EDT 2022
% Result : Unsatisfiable 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 21 ( 11 unt; 0 nHn; 21 RR)
% Number of literals : 35 ( 0 equ; 18 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ n5(a,a),
file('SYN158-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN158-1.p',unknown),
[] ).
cnf(37,axiom,
q0(a,b),
file('SYN158-1.p',unknown),
[] ).
cnf(124,axiom,
( ~ p0(u,v)
| p1(v,v,v) ),
file('SYN158-1.p',unknown),
[] ).
cnf(164,axiom,
( ~ p0(u,u)
| s1(u) ),
file('SYN158-1.p',unknown),
[] ).
cnf(165,axiom,
( ~ s1(u)
| ~ q0(v,w)
| s1(v) ),
file('SYN158-1.p',unknown),
[] ).
cnf(176,axiom,
( ~ p1(u,v,w)
| n2(w) ),
file('SYN158-1.p',unknown),
[] ).
cnf(249,axiom,
( ~ n2(u)
| k3(u,u,u) ),
file('SYN158-1.p',unknown),
[] ).
cnf(326,axiom,
( ~ k3(u,u,v)
| p4(u,v,u) ),
file('SYN158-1.p',unknown),
[] ).
cnf(355,axiom,
( ~ s1(u)
| ~ p4(v,u,u)
| ~ p4(b,b,w)
| n5(u,u) ),
file('SYN158-1.p',unknown),
[] ).
cnf(419,plain,
( ~ s1(a)
| ~ p4(u,a,a)
| ~ p4(b,b,v) ),
inference(res,[status(thm),theory(equality)],[355,1]),
[iquote('0:Res:355.3,1.0')] ).
cnf(462,plain,
s1(b),
inference(res,[status(thm),theory(equality)],[15,164]),
[iquote('0:Res:15.0,164.0')] ).
cnf(549,plain,
p1(u,u,u),
inference(res,[status(thm),theory(equality)],[15,124]),
[iquote('0:Res:15.0,124.0')] ).
cnf(554,plain,
n2(u),
inference(res,[status(thm),theory(equality)],[549,176]),
[iquote('0:Res:549.0,176.0')] ).
cnf(558,plain,
k3(u,u,u),
inference(mrr,[status(thm)],[249,554]),
[iquote('0:MRR:249.0,554.0')] ).
cnf(612,plain,
( ~ q0(u,v)
| s1(u) ),
inference(ems,[status(thm)],[165,462]),
[iquote('0:EmS:165.0,462.0')] ).
cnf(613,plain,
s1(a),
inference(res,[status(thm),theory(equality)],[37,612]),
[iquote('0:Res:37.0,612.0')] ).
cnf(621,plain,
( ~ p4(u,a,a)
| ~ p4(b,b,v) ),
inference(mrr,[status(thm)],[419,613]),
[iquote('0:MRR:419.0,613.0')] ).
cnf(641,plain,
p4(u,u,u),
inference(res,[status(thm),theory(equality)],[558,326]),
[iquote('0:Res:558.0,326.0')] ).
cnf(678,plain,
~ p4(b,b,u),
inference(res,[status(thm),theory(equality)],[641,621]),
[iquote('0:Res:641.0,621.0')] ).
cnf(679,plain,
$false,
inference(unc,[status(thm)],[678,641]),
[iquote('0:UnC:678.0,641.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN158-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 11 21:24:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.48
% 0.18/0.48 SPASS V 3.9
% 0.18/0.48 SPASS beiseite: Proof found.
% 0.18/0.48 % SZS status Theorem
% 0.18/0.48 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 SPASS derived 224 clauses, backtracked 0 clauses, performed 0 splits and kept 457 clauses.
% 0.18/0.48 SPASS allocated 76191 KBytes.
% 0.18/0.48 SPASS spent 0:00:00.13 on the problem.
% 0.18/0.48 0:00:00.04 for the input.
% 0.18/0.48 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.48 0:00:00.00 for inferences.
% 0.18/0.48 0:00:00.00 for the backtracking.
% 0.18/0.48 0:00:00.04 for the reduction.
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 Here is a proof with depth 3, length 21 :
% 0.18/0.48 % SZS output start Refutation
% See solution above
% 0.18/0.48 Formulae used in the proof : prove_this axiom_14 axiom_36 rule_085 rule_125 rule_126 rule_137 rule_210 rule_287 rule_316
% 0.18/0.48
%------------------------------------------------------------------------------