%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN194-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 12:19:21 EDT 2022
% Result : Unsatisfiable 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of clauses : 28 ( 14 unt; 0 nHn; 28 RR)
% Number of literals : 47 ( 0 equ; 22 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 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,
~ r5(c,c),
file('SYN194-1.p',unknown),
[] ).
cnf(4,axiom,
n0(d,e),
file('SYN194-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN194-1.p',unknown),
[] ).
cnf(27,axiom,
n0(d,c),
file('SYN194-1.p',unknown),
[] ).
cnf(33,axiom,
k0(b),
file('SYN194-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN194-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ n0(u,v)
| l1(v,v) ),
file('SYN194-1.p',unknown),
[] ).
cnf(124,axiom,
( ~ p0(u,v)
| p1(v,v,v) ),
file('SYN194-1.p',unknown),
[] ).
cnf(176,axiom,
( ~ p1(u,v,w)
| n2(w) ),
file('SYN194-1.p',unknown),
[] ).
cnf(213,axiom,
( ~ n2(u)
| ~ k1(e)
| p2(u,u,u) ),
file('SYN194-1.p',unknown),
[] ).
cnf(279,axiom,
( ~ p2(u,v,w)
| n3(w) ),
file('SYN194-1.p',unknown),
[] ).
cnf(283,axiom,
( ~ n2(u)
| p3(u,u,u) ),
file('SYN194-1.p',unknown),
[] ).
cnf(338,axiom,
( ~ l1(u,v)
| ~ p3(w,v,x)
| s4(u) ),
file('SYN194-1.p',unknown),
[] ).
cnf(366,axiom,
( ~ s4(u)
| ~ n3(v)
| ~ k0(b)
| r5(u,v) ),
file('SYN194-1.p',unknown),
[] ).
cnf(386,plain,
( ~ n3(u)
| ~ s4(v)
| r5(v,u) ),
inference(mrr,[status(thm)],[366,33]),
[iquote('0:MRR:366.2,33.0')] ).
cnf(420,plain,
( ~ n3(c)
| ~ s4(c) ),
inference(res,[status(thm),theory(equality)],[386,1]),
[iquote('0:Res:386.2,1.0')] ).
cnf(461,plain,
k1(e),
inference(res,[status(thm),theory(equality)],[4,40]),
[iquote('0:Res:4.0,40.0')] ).
cnf(469,plain,
( ~ n2(u)
| p2(u,u,u) ),
inference(mrr,[status(thm)],[213,461]),
[iquote('0:MRR:213.1,461.0')] ).
cnf(475,plain,
l1(c,c),
inference(res,[status(thm),theory(equality)],[27,41]),
[iquote('0:Res:27.0,41.0')] ).
cnf(493,plain,
( ~ n2(u)
| n3(u) ),
inference(res,[status(thm),theory(equality)],[469,279]),
[iquote('0:Res:469.1,279.0')] ).
cnf(543,plain,
p1(u,u,u),
inference(res,[status(thm),theory(equality)],[15,124]),
[iquote('0:Res:15.0,124.0')] ).
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(554,plain,
n3(u),
inference(mrr,[status(thm)],[493,547]),
[iquote('0:MRR:493.0,547.0')] ).
cnf(561,plain,
~ s4(c),
inference(mrr,[status(thm)],[420,554]),
[iquote('0:MRR:420.0,554.0')] ).
cnf(737,plain,
( ~ l1(u,v)
| s4(u) ),
inference(res,[status(thm),theory(equality)],[549,338]),
[iquote('0:Res:549.0,338.1')] ).
cnf(738,plain,
s4(c),
inference(res,[status(thm),theory(equality)],[475,737]),
[iquote('0:Res:475.0,737.0')] ).
cnf(743,plain,
$false,
inference(mrr,[status(thm)],[738,561]),
[iquote('0:MRR:738.0,561.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN194-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 11 23:03:24 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.48
% 0.20/0.48 SPASS V 3.9
% 0.20/0.48 SPASS beiseite: Proof found.
% 0.20/0.48 % SZS status Theorem
% 0.20/0.48 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 SPASS derived 284 clauses, backtracked 0 clauses, performed 0 splits and kept 499 clauses.
% 0.20/0.48 SPASS allocated 76222 KBytes.
% 0.20/0.48 SPASS spent 0:00:00.12 on the problem.
% 0.20/0.48 0:00:00.04 for the input.
% 0.20/0.48 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.48 0:00:00.00 for inferences.
% 0.20/0.48 0:00:00.00 for the backtracking.
% 0.20/0.48 0:00:00.04 for the reduction.
% 0.20/0.48
% 0.20/0.48
% 0.20/0.48 Here is a proof with depth 2, length 28 :
% 0.20/0.48 % SZS output start Refutation
% See solution above
% 0.20/0.48 Formulae used in the proof : prove_this axiom_3 axiom_14 axiom_26 axiom_32 rule_001 rule_002 rule_085 rule_137 rule_174 rule_240 rule_244 rule_299 rule_327
% 0.20/0.48
%------------------------------------------------------------------------------