%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN176-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n012.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 12:19:14 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of clauses : 35 ( 19 unt; 0 nHn; 35 RR)
% Number of literals : 59 ( 0 equ; 27 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 16 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,
~ q2(e,c,u),
file('SYN176-1.p',unknown),
[] ).
cnf(4,axiom,
n0(d,e),
file('SYN176-1.p',unknown),
[] ).
cnf(14,axiom,
r0(e),
file('SYN176-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN176-1.p',unknown),
[] ).
cnf(18,axiom,
q0(u,d),
file('SYN176-1.p',unknown),
[] ).
cnf(20,axiom,
m0(u,d,v),
file('SYN176-1.p',unknown),
[] ).
cnf(25,axiom,
l0(c),
file('SYN176-1.p',unknown),
[] ).
cnf(29,axiom,
k0(e),
file('SYN176-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN176-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ n0(u,v)
| l1(v,v) ),
file('SYN176-1.p',unknown),
[] ).
cnf(124,axiom,
( ~ p0(u,v)
| p1(v,v,v) ),
file('SYN176-1.p',unknown),
[] ).
cnf(164,axiom,
( ~ p0(u,u)
| s1(u) ),
file('SYN176-1.p',unknown),
[] ).
cnf(165,axiom,
( ~ s1(u)
| ~ q0(v,w)
| s1(v) ),
file('SYN176-1.p',unknown),
[] ).
cnf(172,axiom,
( ~ s1(u)
| ~ p0(v,v)
| ~ m0(w,u,x)
| l2(x,x) ),
file('SYN176-1.p',unknown),
[] ).
cnf(176,axiom,
( ~ p1(u,v,w)
| n2(w) ),
file('SYN176-1.p',unknown),
[] ).
cnf(222,axiom,
( ~ k1(u)
| ~ l0(c)
| ~ l2(u,v)
| q2(v,c,u) ),
file('SYN176-1.p',unknown),
[] ).
cnf(283,axiom,
( ~ n2(u)
| p3(u,u,u) ),
file('SYN176-1.p',unknown),
[] ).
cnf(338,axiom,
( ~ l1(u,v)
| ~ p3(w,v,x)
| s4(u) ),
file('SYN176-1.p',unknown),
[] ).
cnf(400,plain,
( ~ k1(u)
| ~ l2(u,v)
| q2(v,c,u) ),
inference(mrr,[status(thm)],[222,25]),
[iquote('0:MRR:222.1,25.0')] ).
cnf(420,plain,
( ~ k1(u)
| ~ l2(u,e) ),
inference(res,[status(thm),theory(equality)],[400,1]),
[iquote('0:Res:400.2,1.0')] ).
cnf(458,plain,
s1(b),
inference(res,[status(thm),theory(equality)],[15,164]),
[iquote('0:Res:15.0,164.0')] ).
cnf(463,plain,
k1(e),
inference(res,[status(thm),theory(equality)],[4,40]),
[iquote('0:Res:4.0,40.0')] ).
cnf(478,plain,
l1(e,e),
inference(res,[status(thm),theory(equality)],[4,41]),
[iquote('0:Res:4.0,41.0')] ).
cnf(545,plain,
p1(u,u,u),
inference(res,[status(thm),theory(equality)],[15,124]),
[iquote('0:Res:15.0,124.0')] ).
cnf(549,plain,
n2(u),
inference(res,[status(thm),theory(equality)],[545,176]),
[iquote('0:Res:545.0,176.0')] ).
cnf(551,plain,
p3(u,u,u),
inference(mrr,[status(thm)],[283,549]),
[iquote('0:MRR:283.0,549.0')] ).
cnf(607,plain,
( ~ q0(u,v)
| s1(u) ),
inference(ems,[status(thm)],[165,458]),
[iquote('0:EmS:165.0,458.0')] ).
cnf(613,plain,
s1(u),
inference(res,[status(thm),theory(equality)],[18,607]),
[iquote('0:Res:18.0,607.0')] ).
cnf(620,plain,
( ~ p0(u,u)
| ~ m0(v,w,x)
| l2(x,x) ),
inference(mrr,[status(thm)],[172,613]),
[iquote('0:MRR:172.0,613.0')] ).
cnf(738,plain,
( ~ l1(u,v)
| s4(u) ),
inference(res,[status(thm),theory(equality)],[551,338]),
[iquote('0:Res:551.0,338.1')] ).
cnf(742,plain,
s4(e),
inference(res,[status(thm),theory(equality)],[478,738]),
[iquote('0:Res:478.0,738.0')] ).
cnf(996,plain,
( ~ p0(u,u)
| l2(v,v) ),
inference(res,[status(thm),theory(equality)],[20,620]),
[iquote('0:Res:20.0,620.1')] ).
cnf(1005,plain,
l2(u,u),
inference(res,[status(thm),theory(equality)],[15,996]),
[iquote('0:Res:15.0,996.0')] ).
cnf(1010,plain,
~ k1(e),
inference(res,[status(thm),theory(equality)],[1005,420]),
[iquote('0:Res:1005.0,420.1')] ).
cnf(1014,plain,
$false,
inference(ssi,[status(thm)],[1010,29,14,463,742]),
[iquote('0:SSi:1010.0,29.0,14.0,463.0,742.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN176-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n012.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 04:43:27 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.50
% 0.19/0.50 SPASS V 3.9
% 0.19/0.50 SPASS beiseite: Proof found.
% 0.19/0.50 % SZS status Theorem
% 0.19/0.50 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50 SPASS derived 521 clauses, backtracked 0 clauses, performed 0 splits and kept 613 clauses.
% 0.19/0.50 SPASS allocated 76374 KBytes.
% 0.19/0.50 SPASS spent 0:00:00.15 on the problem.
% 0.19/0.50 0:00:00.04 for the input.
% 0.19/0.50 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.50 0:00:00.01 for inferences.
% 0.19/0.50 0:00:00.00 for the backtracking.
% 0.19/0.50 0:00:00.05 for the reduction.
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 Here is a proof with depth 3, length 35 :
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 Formulae used in the proof : prove_this axiom_3 axiom_13 axiom_14 axiom_17 axiom_19 axiom_24 axiom_28 rule_001 rule_002 rule_085 rule_125 rule_126 rule_133 rule_137 rule_183 rule_244 rule_299
% 0.19/0.50
%------------------------------------------------------------------------------