%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN126-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 12:18:53 EDT 2022
% Result : Unsatisfiable 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 15
% Syntax : Number of clauses : 24 ( 15 unt; 0 nHn; 24 RR)
% Number of literals : 35 ( 0 equ; 15 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ l4(b),
file('SYN126-1.p',unknown),
[] ).
cnf(6,axiom,
s0(b),
file('SYN126-1.p',unknown),
[] ).
cnf(10,axiom,
r0(b),
file('SYN126-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN126-1.p',unknown),
[] ).
cnf(16,axiom,
n0(a,b),
file('SYN126-1.p',unknown),
[] ).
cnf(25,axiom,
l0(c),
file('SYN126-1.p',unknown),
[] ).
cnf(29,axiom,
k0(e),
file('SYN126-1.p',unknown),
[] ).
cnf(33,axiom,
k0(b),
file('SYN126-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN126-1.p',unknown),
[] ).
cnf(118,axiom,
( ~ k1(u)
| ~ k0(e)
| ~ l0(c)
| p1(u,u,u) ),
file('SYN126-1.p',unknown),
[] ).
cnf(164,axiom,
( ~ p0(u,u)
| s1(u) ),
file('SYN126-1.p',unknown),
[] ).
cnf(175,axiom,
( ~ k1(b)
| m2(b) ),
file('SYN126-1.p',unknown),
[] ).
cnf(176,axiom,
( ~ p1(u,v,w)
| n2(w) ),
file('SYN126-1.p',unknown),
[] ).
cnf(283,axiom,
( ~ n2(u)
| p3(u,u,u) ),
file('SYN126-1.p',unknown),
[] ).
cnf(316,axiom,
( ~ p3(u,v,w)
| l4(w) ),
file('SYN126-1.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(419,plain,
~ p3(u,v,b),
inference(res,[status(thm),theory(equality)],[316,1]),
[iquote('0:Res:316.1,1.0')] ).
cnf(456,plain,
s1(b),
inference(res,[status(thm),theory(equality)],[15,164]),
[iquote('0:Res:15.0,164.0')] ).
cnf(462,plain,
k1(b),
inference(res,[status(thm),theory(equality)],[16,40]),
[iquote('0:Res:16.0,40.0')] ).
cnf(470,plain,
m2(b),
inference(mrr,[status(thm)],[175,462]),
[iquote('0:MRR:175.0,462.0')] ).
cnf(473,plain,
~ n2(b),
inference(res,[status(thm),theory(equality)],[283,419]),
[iquote('0:Res:283.1,419.0')] ).
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,
~ k1(b),
inference(sor,[status(thm)],[473,491]),
[iquote('0:SoR:473.0,491.1')] ).
cnf(496,plain,
$false,
inference(ssi,[status(thm)],[495,6,33,10,456,470,462]),
[iquote('0:SSi:495.0,6.0,33.0,10.0,456.0,470.0,462.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN126-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n009.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 : Tue Jul 12 03:49:07 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.46
% 0.19/0.46 SPASS V 3.9
% 0.19/0.46 SPASS beiseite: Proof found.
% 0.19/0.46 % SZS status Theorem
% 0.19/0.46 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 SPASS derived 44 clauses, backtracked 0 clauses, performed 0 splits and kept 369 clauses.
% 0.19/0.46 SPASS allocated 76125 KBytes.
% 0.19/0.46 SPASS spent 0:00:00.12 on the problem.
% 0.19/0.46 0:00:00.04 for the input.
% 0.19/0.46 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.46 0:00:00.00 for inferences.
% 0.19/0.46 0:00:00.00 for the backtracking.
% 0.19/0.46 0:00:00.03 for the reduction.
% 0.19/0.46
% 0.19/0.46
% 0.19/0.46 Here is a proof with depth 3, length 24 :
% 0.19/0.46 % SZS output start Refutation
% See solution above
% 0.19/0.46 Formulae used in the proof : prove_this axiom_5 axiom_9 axiom_14 axiom_15 axiom_24 axiom_28 axiom_32 rule_001 rule_079 rule_125 rule_136 rule_137 rule_244 rule_277
% 0.19/0.46
%------------------------------------------------------------------------------