%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN182-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n011.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 12:19:16 EDT 2022
% Result : Unsatisfiable 0.17s 0.44s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 18 ( 9 unt; 0 nHn; 18 RR)
% Number of literals : 29 ( 0 equ; 15 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ q5(u,c),
file('SYN182-1.p',unknown),
[] ).
cnf(25,axiom,
l0(c),
file('SYN182-1.p',unknown),
[] ).
cnf(27,axiom,
n0(d,c),
file('SYN182-1.p',unknown),
[] ).
cnf(29,axiom,
k0(e),
file('SYN182-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN182-1.p',unknown),
[] ).
cnf(118,axiom,
( ~ k1(u)
| ~ k0(e)
| ~ l0(c)
| p1(u,u,u) ),
file('SYN182-1.p',unknown),
[] ).
cnf(176,axiom,
( ~ p1(u,v,w)
| n2(w) ),
file('SYN182-1.p',unknown),
[] ).
cnf(283,axiom,
( ~ n2(u)
| p3(u,u,u) ),
file('SYN182-1.p',unknown),
[] ).
cnf(316,axiom,
( ~ p3(u,v,w)
| l4(w) ),
file('SYN182-1.p',unknown),
[] ).
cnf(363,axiom,
( ~ l4(u)
| q5(u,u) ),
file('SYN182-1.p',unknown),
[] ).
cnf(398,plain,
( ~ k1(u)
| p1(u,u,u) ),
inference(mrr,[status(thm)],[118,29,25]),
[iquote('0:MRR:118.1,118.2,29.0,25.0')] ).
cnf(421,plain,
~ l4(c),
inference(res,[status(thm),theory(equality)],[363,1]),
[iquote('0:Res:363.1,1.0')] ).
cnf(462,plain,
k1(c),
inference(res,[status(thm),theory(equality)],[27,40]),
[iquote('0:Res:27.0,40.0')] ).
cnf(487,plain,
( ~ n2(u)
| l4(u) ),
inference(res,[status(thm),theory(equality)],[283,316]),
[iquote('0:Res:283.1,316.0')] ).
cnf(491,plain,
( ~ k1(u)
| n2(u) ),
inference(res,[status(thm),theory(equality)],[398,176]),
[iquote('0:Res:398.1,176.0')] ).
cnf(495,plain,
~ n2(c),
inference(sor,[status(thm)],[421,487]),
[iquote('0:SoR:421.0,487.1')] ).
cnf(497,plain,
~ k1(c),
inference(sor,[status(thm)],[495,491]),
[iquote('0:SoR:495.0,491.1')] ).
cnf(498,plain,
$false,
inference(ssi,[status(thm)],[497,25,462]),
[iquote('0:SSi:497.0,25.0,462.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN182-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.11 % Command : run_spass %d %s
% 0.11/0.31 % Computer : n011.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Mon Jul 11 12:18:27 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.17/0.44
% 0.17/0.44 SPASS V 3.9
% 0.17/0.44 SPASS beiseite: Proof found.
% 0.17/0.44 % SZS status Theorem
% 0.17/0.44 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 SPASS derived 46 clauses, backtracked 0 clauses, performed 0 splits and kept 371 clauses.
% 0.17/0.44 SPASS allocated 76125 KBytes.
% 0.17/0.44 SPASS spent 0:00:00.11 on the problem.
% 0.17/0.44 0:00:00.04 for the input.
% 0.17/0.44 0:00:00.00 for the FLOTTER CNF translation.
% 0.17/0.44 0:00:00.00 for inferences.
% 0.17/0.44 0:00:00.00 for the backtracking.
% 0.17/0.44 0:00:00.03 for the reduction.
% 0.17/0.44
% 0.17/0.44
% 0.17/0.44 Here is a proof with depth 3, length 18 :
% 0.17/0.44 % SZS output start Refutation
% See solution above
% 0.17/0.44 Formulae used in the proof : prove_this axiom_24 axiom_26 axiom_28 rule_001 rule_079 rule_137 rule_244 rule_277 rule_324
% 0.17/0.44
%------------------------------------------------------------------------------