TSTP Solution File: SYN178-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN178-1 : 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 12:19:14 EDT 2022
% Result : Unsatisfiable 0.34s 0.51s
% Output : Refutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 25
% Syntax : Number of clauses : 49 ( 25 unt; 0 nHn; 49 RR)
% Number of literals : 85 ( 0 equ; 40 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 21 ( 20 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,
~ q3(b,d),
file('SYN178-1.p',unknown),
[] ).
cnf(2,axiom,
s0(d),
file('SYN178-1.p',unknown),
[] ).
cnf(6,axiom,
s0(b),
file('SYN178-1.p',unknown),
[] ).
cnf(8,axiom,
n0(d,b),
file('SYN178-1.p',unknown),
[] ).
cnf(10,axiom,
r0(b),
file('SYN178-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN178-1.p',unknown),
[] ).
cnf(16,axiom,
n0(a,b),
file('SYN178-1.p',unknown),
[] ).
cnf(18,axiom,
q0(u,d),
file('SYN178-1.p',unknown),
[] ).
cnf(20,axiom,
m0(u,d,v),
file('SYN178-1.p',unknown),
[] ).
cnf(33,axiom,
k0(b),
file('SYN178-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN178-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ n0(u,v)
| l1(v,v) ),
file('SYN178-1.p',unknown),
[] ).
cnf(124,axiom,
( ~ p0(u,v)
| p1(v,v,v) ),
file('SYN178-1.p',unknown),
[] ).
cnf(160,axiom,
( ~ m0(u,v,w)
| q1(w,w,w) ),
file('SYN178-1.p',unknown),
[] ).
cnf(163,axiom,
( ~ q0(u,v)
| ~ s0(d)
| ~ q1(d,v,d)
| r1(u) ),
file('SYN178-1.p',unknown),
[] ).
cnf(164,axiom,
( ~ p0(u,u)
| s1(u) ),
file('SYN178-1.p',unknown),
[] ).
cnf(175,axiom,
( ~ k1(b)
| m2(b) ),
file('SYN178-1.p',unknown),
[] ).
cnf(176,axiom,
( ~ p1(u,v,w)
| n2(w) ),
file('SYN178-1.p',unknown),
[] ).
cnf(220,axiom,
( ~ p1(u,u,u)
| q2(u,u,u) ),
file('SYN178-1.p',unknown),
[] ).
cnf(225,axiom,
( ~ l1(u,v)
| q2(v,v,u) ),
file('SYN178-1.p',unknown),
[] ).
cnf(226,axiom,
( ~ k0(u)
| ~ r1(u)
| ~ q2(u,u,u)
| ~ m0(v,w,x)
| q2(x,u,x) ),
file('SYN178-1.p',unknown),
[] ).
cnf(228,axiom,
( ~ s1(b)
| ~ q2(b,u,b)
| s2(u) ),
file('SYN178-1.p',unknown),
[] ).
cnf(283,axiom,
( ~ n2(u)
| p3(u,u,u) ),
file('SYN178-1.p',unknown),
[] ).
cnf(294,axiom,
( ~ n0(u,v)
| ~ q2(u,v,w)
| q3(v,w) ),
file('SYN178-1.p',unknown),
[] ).
cnf(338,axiom,
( ~ l1(u,v)
| ~ p3(w,v,x)
| s4(u) ),
file('SYN178-1.p',unknown),
[] ).
cnf(401,plain,
( ~ q0(u,v)
| ~ q1(d,v,d)
| r1(u) ),
inference(mrr,[status(thm)],[163,2]),
[iquote('0:MRR:163.1,2.0')] ).
cnf(419,plain,
( ~ n0(u,b)
| ~ q2(u,b,d) ),
inference(res,[status(thm),theory(equality)],[294,1]),
[iquote('0:Res:294.2,1.0')] ).
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(504,plain,
s2(b),
inference(res,[status(thm),theory(equality)],[502,456]),
[iquote('0:Res:502.0,456.0')] ).
cnf(543,plain,
p1(u,u,u),
inference(res,[status(thm),theory(equality)],[15,124]),
[iquote('0:Res:15.0,124.0')] ).
cnf(544,plain,
q2(u,u,u),
inference(mrr,[status(thm)],[220,543]),
[iquote('0:MRR:220.0,543.0')] ).
cnf(546,plain,
( ~ k0(u)
| ~ r1(u)
| ~ m0(v,w,x)
| q2(x,u,x) ),
inference(mrr,[status(thm)],[226,544]),
[iquote('0:MRR:226.2,544.0')] ).
cnf(547,plain,
n2(u),
inference(res,[status(thm),theory(equality)],[543,176]),
[iquote('0:Res:543.0,176.0')] ).
cnf(549,plain,
p3(u,u,u),
inference(mrr,[status(thm)],[283,547]),
[iquote('0:MRR:283.0,547.0')] ).
cnf(655,plain,
q1(u,u,u),
inference(res,[status(thm),theory(equality)],[20,160]),
[iquote('0:Res:20.0,160.0')] ).
cnf(683,plain,
( ~ q0(u,d)
| r1(u) ),
inference(res,[status(thm),theory(equality)],[655,401]),
[iquote('0:Res:655.0,401.1')] ).
cnf(684,plain,
r1(u),
inference(mrr,[status(thm)],[683,18]),
[iquote('0:MRR:683.0,18.0')] ).
cnf(688,plain,
( ~ k0(u)
| ~ m0(v,w,x)
| q2(x,u,x) ),
inference(mrr,[status(thm)],[546,684]),
[iquote('0:MRR:546.1,684.0')] ).
cnf(737,plain,
( ~ l1(u,v)
| s4(u) ),
inference(res,[status(thm),theory(equality)],[549,338]),
[iquote('0:Res:549.0,338.1')] ).
cnf(742,plain,
s4(b),
inference(res,[status(thm),theory(equality)],[476,737]),
[iquote('0:Res:476.0,737.0')] ).
cnf(1003,plain,
( ~ k0(u)
| q2(v,u,v) ),
inference(res,[status(thm),theory(equality)],[20,688]),
[iquote('0:Res:20.0,688.1')] ).
cnf(1043,plain,
( ~ k0(b)
| ~ n0(d,b) ),
inference(res,[status(thm),theory(equality)],[1003,419]),
[iquote('0:Res:1003.1,419.1')] ).
cnf(1046,plain,
~ n0(d,b),
inference(ssi,[status(thm)],[1043,6,33,10,469,461,504,742]),
[iquote('0:SSi:1043.0,6.0,33.0,10.0,469.0,461.0,504.0,742.0')] ).
cnf(1047,plain,
$false,
inference(mrr,[status(thm)],[1046,8]),
[iquote('0:MRR:1046.0,8.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN178-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 19:59:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.34/0.51
% 0.34/0.51 SPASS V 3.9
% 0.34/0.51 SPASS beiseite: Proof found.
% 0.34/0.51 % SZS status Theorem
% 0.34/0.51 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/0.51 SPASS derived 548 clauses, backtracked 0 clauses, performed 0 splits and kept 632 clauses.
% 0.34/0.51 SPASS allocated 76395 KBytes.
% 0.34/0.51 SPASS spent 0:00:00.15 on the problem.
% 0.34/0.51 0:00:00.04 for the input.
% 0.34/0.51 0:00:00.00 for the FLOTTER CNF translation.
% 0.34/0.51 0:00:00.01 for inferences.
% 0.34/0.51 0:00:00.00 for the backtracking.
% 0.34/0.51 0:00:00.06 for the reduction.
% 0.34/0.51
% 0.34/0.51
% 0.34/0.51 Here is a proof with depth 3, length 49 :
% 0.34/0.51 % SZS output start Refutation
% See solution above
% 0.34/0.51 Formulae used in the proof : prove_this axiom_1 axiom_5 axiom_7 axiom_9 axiom_14 axiom_15 axiom_17 axiom_19 axiom_32 rule_001 rule_002 rule_085 rule_121 rule_124 rule_125 rule_136 rule_137 rule_181 rule_186 rule_187 rule_189 rule_244 rule_255 rule_299
% 0.34/0.51
%------------------------------------------------------------------------------