%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN235-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 12:19:38 EDT 2022
% Result : Unsatisfiable 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 16
% Syntax : Number of clauses : 29 ( 17 unt; 0 nHn; 29 RR)
% Number of literals : 44 ( 0 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 14 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,
~ l3(e,b),
file('SYN235-1.p',unknown),
[] ).
cnf(6,axiom,
s0(b),
file('SYN235-1.p',unknown),
[] ).
cnf(10,axiom,
r0(b),
file('SYN235-1.p',unknown),
[] ).
cnf(14,axiom,
r0(e),
file('SYN235-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN235-1.p',unknown),
[] ).
cnf(16,axiom,
n0(a,b),
file('SYN235-1.p',unknown),
[] ).
cnf(33,axiom,
k0(b),
file('SYN235-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN235-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ n0(u,v)
| l1(v,v) ),
file('SYN235-1.p',unknown),
[] ).
cnf(68,axiom,
( ~ s0(u)
| ~ p0(u,v)
| m1(u,v,u) ),
file('SYN235-1.p',unknown),
[] ).
cnf(164,axiom,
( ~ p0(u,u)
| s1(u) ),
file('SYN235-1.p',unknown),
[] ).
cnf(175,axiom,
( ~ k1(b)
| m2(b) ),
file('SYN235-1.p',unknown),
[] ).
cnf(215,axiom,
( ~ m1(u,v,u)
| p2(v,u,v) ),
file('SYN235-1.p',unknown),
[] ).
cnf(225,axiom,
( ~ l1(u,v)
| q2(v,v,u) ),
file('SYN235-1.p',unknown),
[] ).
cnf(228,axiom,
( ~ s1(b)
| ~ q2(b,u,b)
| s2(u) ),
file('SYN235-1.p',unknown),
[] ).
cnf(254,axiom,
( ~ r0(u)
| ~ p2(u,v,u)
| l3(u,v) ),
file('SYN235-1.p',unknown),
[] ).
cnf(419,plain,
( ~ r0(e)
| ~ p2(e,b,e) ),
inference(res,[status(thm),theory(equality)],[254,1]),
[iquote('0:Res:254.2,1.0')] ).
cnf(420,plain,
~ p2(e,b,e),
inference(mrr,[status(thm)],[419,14]),
[iquote('0:MRR:419.0,14.0')] ).
cnf(455,plain,
s1(b),
inference(res,[status(thm),theory(equality)],[15,164]),
[iquote('0:Res:15.0,164.0')] ).
cnf(456,plain,
( ~ q2(b,u,b)
| s2(u) ),
inference(mrr,[status(thm)],[228,455]),
[iquote('0:MRR:228.0,455.0')] ).
cnf(461,plain,
k1(b),
inference(res,[status(thm),theory(equality)],[16,40]),
[iquote('0:Res:16.0,40.0')] ).
cnf(469,plain,
m2(b),
inference(mrr,[status(thm)],[175,461]),
[iquote('0:MRR:175.0,461.0')] ).
cnf(476,plain,
l1(b,b),
inference(res,[status(thm),theory(equality)],[16,41]),
[iquote('0:Res:16.0,41.0')] ).
cnf(502,plain,
q2(b,b,b),
inference(res,[status(thm),theory(equality)],[476,225]),
[iquote('0:Res:476.0,225.0')] ).
cnf(506,plain,
s2(b),
inference(res,[status(thm),theory(equality)],[502,456]),
[iquote('0:Res:502.0,456.0')] ).
cnf(712,plain,
( ~ s0(b)
| m1(b,u,b) ),
inference(res,[status(thm),theory(equality)],[15,68]),
[iquote('0:Res:15.0,68.1')] ).
cnf(713,plain,
m1(b,u,b),
inference(ssi,[status(thm)],[712,6,33,10,469,461,506]),
[iquote('0:SSi:712.0,6.0,33.0,10.0,469.0,461.0,506.0')] ).
cnf(714,plain,
p2(u,b,u),
inference(res,[status(thm),theory(equality)],[713,215]),
[iquote('0:Res:713.0,215.0')] ).
cnf(715,plain,
$false,
inference(unc,[status(thm)],[714,420]),
[iquote('0:UnC:714.0,420.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN235-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 12 03:36:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.49
% 0.21/0.49 SPASS V 3.9
% 0.21/0.49 SPASS beiseite: Proof found.
% 0.21/0.49 % SZS status Theorem
% 0.21/0.49 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49 SPASS derived 251 clauses, backtracked 0 clauses, performed 0 splits and kept 477 clauses.
% 0.21/0.49 SPASS allocated 76207 KBytes.
% 0.21/0.49 SPASS spent 0:00:00.13 on the problem.
% 0.21/0.49 0:00:00.05 for the input.
% 0.21/0.49 0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.49 0:00:00.00 for inferences.
% 0.21/0.49 0:00:00.00 for the backtracking.
% 0.21/0.49 0:00:00.04 for the reduction.
% 0.21/0.49
% 0.21/0.49
% 0.21/0.49 Here is a proof with depth 3, length 29 :
% 0.21/0.49 % SZS output start Refutation
% See solution above
% 0.21/0.49 Formulae used in the proof : prove_this axiom_5 axiom_9 axiom_13 axiom_14 axiom_15 axiom_32 rule_001 rule_002 rule_029 rule_125 rule_136 rule_176 rule_186 rule_189 rule_215
% 0.21/0.49
%------------------------------------------------------------------------------