TSTP Solution File: SYN202-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN202-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 12:19:24 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 20
% Syntax : Number of clauses : 40 ( 21 unt; 0 nHn; 40 RR)
% Number of literals : 70 ( 0 equ; 34 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 19 ( 18 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,
~ s2(e),
file('SYN202-1.p',unknown),
[] ).
cnf(2,axiom,
s0(d),
file('SYN202-1.p',unknown),
[] ).
cnf(4,axiom,
n0(d,e),
file('SYN202-1.p',unknown),
[] ).
cnf(14,axiom,
r0(e),
file('SYN202-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN202-1.p',unknown),
[] ).
cnf(18,axiom,
q0(u,d),
file('SYN202-1.p',unknown),
[] ).
cnf(20,axiom,
m0(u,d,v),
file('SYN202-1.p',unknown),
[] ).
cnf(29,axiom,
k0(e),
file('SYN202-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN202-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ n0(u,v)
| l1(v,v) ),
file('SYN202-1.p',unknown),
[] ).
cnf(124,axiom,
( ~ p0(u,v)
| p1(v,v,v) ),
file('SYN202-1.p',unknown),
[] ).
cnf(160,axiom,
( ~ m0(u,v,w)
| q1(w,w,w) ),
file('SYN202-1.p',unknown),
[] ).
cnf(163,axiom,
( ~ q0(u,v)
| ~ s0(d)
| ~ q1(d,v,d)
| r1(u) ),
file('SYN202-1.p',unknown),
[] ).
cnf(164,axiom,
( ~ p0(u,u)
| s1(u) ),
file('SYN202-1.p',unknown),
[] ).
cnf(176,axiom,
( ~ p1(u,v,w)
| n2(w) ),
file('SYN202-1.p',unknown),
[] ).
cnf(220,axiom,
( ~ p1(u,u,u)
| q2(u,u,u) ),
file('SYN202-1.p',unknown),
[] ).
cnf(226,axiom,
( ~ k0(u)
| ~ r1(u)
| ~ q2(u,u,u)
| ~ m0(v,w,x)
| q2(x,u,x) ),
file('SYN202-1.p',unknown),
[] ).
cnf(228,axiom,
( ~ s1(b)
| ~ q2(b,u,b)
| s2(u) ),
file('SYN202-1.p',unknown),
[] ).
cnf(283,axiom,
( ~ n2(u)
| p3(u,u,u) ),
file('SYN202-1.p',unknown),
[] ).
cnf(338,axiom,
( ~ l1(u,v)
| ~ p3(w,v,x)
| s4(u) ),
file('SYN202-1.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,
( ~ s1(b)
| ~ q2(b,e,b) ),
inference(res,[status(thm),theory(equality)],[228,1]),
[iquote('0:Res:228.2,1.0')] ).
cnf(454,plain,
s1(b),
inference(res,[status(thm),theory(equality)],[15,164]),
[iquote('0:Res:15.0,164.0')] ).
cnf(455,plain,
~ q2(b,e,b),
inference(mrr,[status(thm)],[419,454]),
[iquote('0:MRR:419.0,454.0')] ).
cnf(460,plain,
k1(e),
inference(res,[status(thm),theory(equality)],[4,40]),
[iquote('0:Res:4.0,40.0')] ).
cnf(475,plain,
l1(e,e),
inference(res,[status(thm),theory(equality)],[4,41]),
[iquote('0:Res:4.0,41.0')] ).
cnf(542,plain,
p1(u,u,u),
inference(res,[status(thm),theory(equality)],[15,124]),
[iquote('0:Res:15.0,124.0')] ).
cnf(543,plain,
q2(u,u,u),
inference(mrr,[status(thm)],[220,542]),
[iquote('0:MRR:220.0,542.0')] ).
cnf(545,plain,
( ~ k0(u)
| ~ r1(u)
| ~ m0(v,w,x)
| q2(x,u,x) ),
inference(mrr,[status(thm)],[226,543]),
[iquote('0:MRR:226.2,543.0')] ).
cnf(546,plain,
n2(u),
inference(res,[status(thm),theory(equality)],[542,176]),
[iquote('0:Res:542.0,176.0')] ).
cnf(548,plain,
p3(u,u,u),
inference(mrr,[status(thm)],[283,546]),
[iquote('0:MRR:283.0,546.0')] ).
cnf(652,plain,
q1(u,u,u),
inference(res,[status(thm),theory(equality)],[20,160]),
[iquote('0:Res:20.0,160.0')] ).
cnf(680,plain,
( ~ q0(u,d)
| r1(u) ),
inference(res,[status(thm),theory(equality)],[652,401]),
[iquote('0:Res:652.0,401.1')] ).
cnf(681,plain,
r1(u),
inference(mrr,[status(thm)],[680,18]),
[iquote('0:MRR:680.0,18.0')] ).
cnf(685,plain,
( ~ k0(u)
| ~ m0(v,w,x)
| q2(x,u,x) ),
inference(mrr,[status(thm)],[545,681]),
[iquote('0:MRR:545.1,681.0')] ).
cnf(734,plain,
( ~ l1(u,v)
| s4(u) ),
inference(res,[status(thm),theory(equality)],[548,338]),
[iquote('0:Res:548.0,338.1')] ).
cnf(738,plain,
s4(e),
inference(res,[status(thm),theory(equality)],[475,734]),
[iquote('0:Res:475.0,734.0')] ).
cnf(1038,plain,
( ~ k0(u)
| q2(v,u,v) ),
inference(res,[status(thm),theory(equality)],[20,685]),
[iquote('0:Res:20.0,685.1')] ).
cnf(1039,plain,
~ k0(e),
inference(res,[status(thm),theory(equality)],[1038,455]),
[iquote('0:Res:1038.1,455.0')] ).
cnf(1043,plain,
$false,
inference(ssi,[status(thm)],[1039,29,14,460,738]),
[iquote('0:SSi:1039.0,29.0,14.0,460.0,738.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN202-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n026.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 16:43:27 EDT 2022
% 0.12/0.34 % 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/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 SPASS derived 545 clauses, backtracked 0 clauses, performed 0 splits and kept 629 clauses.
% 0.19/0.50 SPASS allocated 76392 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 0:00:00.06 for the reduction.
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 Here is a proof with depth 2, length 40 :
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 Formulae used in the proof : prove_this axiom_1 axiom_3 axiom_13 axiom_14 axiom_17 axiom_19 axiom_28 rule_001 rule_002 rule_085 rule_121 rule_124 rule_125 rule_137 rule_181 rule_187 rule_189 rule_244 rule_299
% 0.19/0.50
%------------------------------------------------------------------------------