TSTP Solution File: KRS120+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS120+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 : Sun Jul 17 03:30:37 EDT 2022
% Result : Unsatisfiable 0.18s 0.44s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of clauses : 25 ( 6 unt; 0 nHn; 25 RR)
% Number of literals : 53 ( 0 equ; 33 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
cowlThing(u),
file('KRS120+1.p',unknown),
[] ).
cnf(4,axiom,
ca_Ax2(skf5(u)),
file('KRS120+1.p',unknown),
[] ).
cnf(5,axiom,
ca_Vx3(skf8(u)),
file('KRS120+1.p',unknown),
[] ).
cnf(6,axiom,
cp1xcomp(skf9(u)),
file('KRS120+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ ca_Ax2(u)
| cp1(u) ),
file('KRS120+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ cUnsatisfiable(u)
| rf(u,skf5(u)) ),
file('KRS120+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ cp1(u)
| ~ ra_Px1(u,v) ),
file('KRS120+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ cp1xcomp(u)
| ra_Px1(u,skf7(u)) ),
file('KRS120+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ ca_Ax2(u)
| rinvF(u,skf8(u)) ),
file('KRS120+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ ca_Vx3(u)
| rf(u,skf9(u)) ),
file('KRS120+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ rinvF(u,v)
| rf(v,u) ),
file('KRS120+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ ca_Ax2(u)
| ~ rf(v,u)
| cUnsatisfiable(v) ),
file('KRS120+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ cowlThing(u)
| ~ rf(u,v)
| ~ rf(u,w)
| equal(v,w) ),
file('KRS120+1.p',unknown),
[] ).
cnf(26,plain,
( ~ rf(u,v)
| ~ rf(u,w)
| equal(w,v) ),
inference(mrr,[status(thm)],[25,1]),
[iquote('0:MRR:25.0,1.0')] ).
cnf(30,plain,
( ~ cp1xcomp(u)
| ~ cp1(u) ),
inference(res,[status(thm),theory(equality)],[14,13]),
[iquote('0:Res:14.1,13.1')] ).
cnf(33,plain,
( ~ ca_Ax2(u)
| rf(skf8(u),u) ),
inference(res,[status(thm),theory(equality)],[15,17]),
[iquote('0:Res:15.1,17.0')] ).
cnf(37,plain,
( ~ ca_Ax2(u)
| ~ ca_Ax2(u)
| cUnsatisfiable(skf8(u)) ),
inference(res,[status(thm),theory(equality)],[33,21]),
[iquote('0:Res:33.1,21.1')] ).
cnf(38,plain,
( ~ ca_Ax2(u)
| cUnsatisfiable(skf8(u)) ),
inference(obv,[status(thm),theory(equality)],[37]),
[iquote('0:Obv:37.0')] ).
cnf(42,plain,
( ~ cUnsatisfiable(u)
| ~ rf(u,v)
| equal(v,skf5(u)) ),
inference(res,[status(thm),theory(equality)],[12,26]),
[iquote('0:Res:12.1,26.0')] ).
cnf(46,plain,
( ~ ca_Vx3(u)
| ~ cUnsatisfiable(u)
| equal(skf9(u),skf5(u)) ),
inference(res,[status(thm),theory(equality)],[16,42]),
[iquote('0:Res:16.1,42.1')] ).
cnf(52,plain,
( ~ ca_Vx3(u)
| ~ cUnsatisfiable(u)
| cp1xcomp(skf5(u)) ),
inference(spr,[status(thm),theory(equality)],[46,6]),
[iquote('0:SpR:46.2,6.0')] ).
cnf(56,plain,
( ~ ca_Vx3(u)
| ~ cUnsatisfiable(u)
| ~ ca_Ax2(skf5(u)) ),
inference(ems,[status(thm)],[30,52,8]),
[iquote('0:EmS:30.0,30.1,52.2,8.1')] ).
cnf(60,plain,
( ~ ca_Vx3(u)
| ~ cUnsatisfiable(u) ),
inference(ssi,[status(thm)],[56,4,52]),
[iquote('0:SSi:56.2,4.2,52.0')] ).
cnf(62,plain,
~ ca_Ax2(u),
inference(ems,[status(thm)],[60,5,38]),
[iquote('0:EmS:60.0,60.1,5.0,38.1')] ).
cnf(63,plain,
$false,
inference(unc,[status(thm)],[62,4]),
[iquote('0:UnC:62.0,4.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS120+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n022.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 : Tue Jun 7 17:07:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44
% 0.18/0.44 SPASS V 3.9
% 0.18/0.44 SPASS beiseite: Proof found.
% 0.18/0.44 % SZS status Theorem
% 0.18/0.44 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 SPASS derived 32 clauses, backtracked 0 clauses, performed 0 splits and kept 39 clauses.
% 0.18/0.44 SPASS allocated 97778 KBytes.
% 0.18/0.44 SPASS spent 0:00:00.10 on the problem.
% 0.18/0.44 0:00:00.04 for the input.
% 0.18/0.44 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.44 0:00:00.00 for inferences.
% 0.18/0.44 0:00:00.00 for the backtracking.
% 0.18/0.44 0:00:00.00 for the reduction.
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44 Here is a proof with depth 5, length 25 :
% 0.18/0.44 % SZS output start Refutation
% See solution above
% 0.18/0.44 Formulae used in the proof : axiom_0 axiom_2 axiom_11 axiom_8 axiom_5 axiom_6 axiom_3 axiom_4 axiom_7
% 0.18/0.44
%------------------------------------------------------------------------------