%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN116-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n003.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 12:18:49 EDT 2022
% Result : Unsatisfiable 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 17
% Syntax : Number of clauses : 30 ( 17 unt; 0 nHn; 30 RR)
% Number of literals : 45 ( 0 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 16 ( 15 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,
~ k5(b),
file('SYN116-1.p',unknown),
[] ).
cnf(4,axiom,
n0(d,e),
file('SYN116-1.p',unknown),
[] ).
cnf(6,axiom,
s0(b),
file('SYN116-1.p',unknown),
[] ).
cnf(10,axiom,
r0(b),
file('SYN116-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN116-1.p',unknown),
[] ).
cnf(16,axiom,
n0(a,b),
file('SYN116-1.p',unknown),
[] ).
cnf(33,axiom,
k0(b),
file('SYN116-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN116-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ n0(u,v)
| l1(v,v) ),
file('SYN116-1.p',unknown),
[] ).
cnf(96,axiom,
( ~ r0(u)
| n1(u,u,u) ),
file('SYN116-1.p',unknown),
[] ).
cnf(124,axiom,
( ~ p0(u,v)
| p1(v,v,v) ),
file('SYN116-1.p',unknown),
[] ).
cnf(164,axiom,
( ~ p0(u,u)
| s1(u) ),
file('SYN116-1.p',unknown),
[] ).
cnf(175,axiom,
( ~ k1(b)
| m2(b) ),
file('SYN116-1.p',unknown),
[] ).
cnf(176,axiom,
( ~ p1(u,v,w)
| n2(w) ),
file('SYN116-1.p',unknown),
[] ).
cnf(283,axiom,
( ~ n2(u)
| p3(u,u,u) ),
file('SYN116-1.p',unknown),
[] ).
cnf(338,axiom,
( ~ l1(u,v)
| ~ p3(w,v,x)
| s4(u) ),
file('SYN116-1.p',unknown),
[] ).
cnf(340,axiom,
( ~ s4(e)
| ~ n1(b,b,b)
| k5(b) ),
file('SYN116-1.p',unknown),
[] ).
cnf(378,plain,
( ~ s4(e)
| ~ n1(b,b,b) ),
inference(mrr,[status(thm)],[340,1]),
[iquote('0:MRR:340.2,1.0')] ).
cnf(454,plain,
s1(b),
inference(res,[status(thm),theory(equality)],[15,164]),
[iquote('0:Res:15.0,164.0')] ).
cnf(460,plain,
k1(b),
inference(res,[status(thm),theory(equality)],[16,40]),
[iquote('0:Res:16.0,40.0')] ).
cnf(468,plain,
m2(b),
inference(mrr,[status(thm)],[175,460]),
[iquote('0:MRR:175.0,460.0')] ).
cnf(474,plain,
l1(e,e),
inference(res,[status(thm),theory(equality)],[4,41]),
[iquote('0:Res:4.0,41.0')] ).
cnf(492,plain,
( ~ r0(b)
| ~ s4(e) ),
inference(res,[status(thm),theory(equality)],[96,378]),
[iquote('0:Res:96.1,378.1')] ).
cnf(494,plain,
~ s4(e),
inference(ssi,[status(thm)],[492,6,33,10,454,468,460]),
[iquote('0:SSi:492.0,6.0,33.0,10.0,454.0,468.0,460.0')] ).
cnf(544,plain,
p1(u,u,u),
inference(res,[status(thm),theory(equality)],[15,124]),
[iquote('0:Res:15.0,124.0')] ).
cnf(548,plain,
n2(u),
inference(res,[status(thm),theory(equality)],[544,176]),
[iquote('0:Res:544.0,176.0')] ).
cnf(550,plain,
p3(u,u,u),
inference(mrr,[status(thm)],[283,548]),
[iquote('0:MRR:283.0,548.0')] ).
cnf(733,plain,
( ~ l1(u,v)
| s4(u) ),
inference(res,[status(thm),theory(equality)],[550,338]),
[iquote('0:Res:550.0,338.1')] ).
cnf(737,plain,
s4(e),
inference(res,[status(thm),theory(equality)],[474,733]),
[iquote('0:Res:474.0,733.0')] ).
cnf(739,plain,
$false,
inference(mrr,[status(thm)],[737,494]),
[iquote('0:MRR:737.0,494.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN116-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 17:21:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47
% 0.18/0.47 SPASS V 3.9
% 0.18/0.47 SPASS beiseite: Proof found.
% 0.18/0.47 % SZS status Theorem
% 0.18/0.47 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47 SPASS derived 277 clauses, backtracked 0 clauses, performed 0 splits and kept 493 clauses.
% 0.18/0.47 SPASS allocated 76219 KBytes.
% 0.18/0.47 SPASS spent 0:00:00.13 on the problem.
% 0.18/0.47 0:00:00.05 for the input.
% 0.18/0.47 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.47 0:00:00.00 for inferences.
% 0.18/0.47 0:00:00.00 for the backtracking.
% 0.18/0.47 0:00:00.04 for the reduction.
% 0.18/0.47
% 0.18/0.47
% 0.18/0.47 Here is a proof with depth 2, length 30 :
% 0.18/0.47 % SZS output start Refutation
% See solution above
% 0.18/0.47 Formulae used in the proof : prove_this axiom_3 axiom_5 axiom_9 axiom_14 axiom_15 axiom_32 rule_001 rule_002 rule_057 rule_085 rule_125 rule_136 rule_137 rule_244 rule_299 rule_301
% 0.18/0.47
%------------------------------------------------------------------------------