%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS114+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 03:30:36 EDT 2022
% Result : Unsatisfiable 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% 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 : 3 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
cUnsatisfiable(i2003_11_14_17_21_262),
file('KRS114+1.p',unknown),
[] ).
cnf(4,axiom,
ca_Ax3(skf11(u)),
file('KRS114+1.p',unknown),
[] ).
cnf(5,axiom,
ca_Ax4(skf10(u)),
file('KRS114+1.p',unknown),
[] ).
cnf(6,axiom,
ca_Vx5(skf16(u)),
file('KRS114+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ ca_Ax3(u)
| cpxcomp(u) ),
file('KRS114+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ cUnsatisfiable(u)
| rr(u,skf10(u)) ),
file('KRS114+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ cUnsatisfiable(u)
| rs(u,skf11(u)) ),
file('KRS114+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ cp(u)
| ~ ra_Px1(u,v) ),
file('KRS114+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ cpxcomp(u)
| ra_Px1(u,skf13(u)) ),
file('KRS114+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ ca_Ax4(u)
| rinvR(u,skf16(u)) ),
file('KRS114+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ rr(u,v)
| rinvR(v,u) ),
file('KRS114+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ ca_Vx5(u)
| ~ rs(u,v)
| cp(v) ),
file('KRS114+1.p',unknown),
[] ).
cnf(30,axiom,
( ~ ca_Ax4(u)
| ~ rinvR(u,v)
| ~ rinvR(u,w)
| equal(v,w) ),
file('KRS114+1.p',unknown),
[] ).
cnf(41,plain,
( ~ cpxcomp(u)
| ~ cp(u) ),
inference(res,[status(thm),theory(equality)],[20,19]),
[iquote('0:Res:20.1,19.1')] ).
cnf(44,plain,
( ~ cUnsatisfiable(u)
| rinvR(skf10(u),u) ),
inference(res,[status(thm),theory(equality)],[17,25]),
[iquote('0:Res:17.1,25.0')] ).
cnf(47,plain,
( ~ cUnsatisfiable(u)
| ~ ca_Vx5(u)
| cp(skf11(u)) ),
inference(res,[status(thm),theory(equality)],[18,27]),
[iquote('0:Res:18.1,27.1')] ).
cnf(48,plain,
( ~ ca_Ax3(skf11(u))
| ~ ca_Vx5(u)
| ~ cUnsatisfiable(u) ),
inference(ems,[status(thm)],[41,10,47]),
[iquote('0:EmS:41.0,41.1,10.1,47.2')] ).
cnf(49,plain,
( ~ ca_Vx5(u)
| ~ cUnsatisfiable(u) ),
inference(ssi,[status(thm)],[48,4,47]),
[iquote('0:SSi:48.0,4.2,47.0')] ).
cnf(54,plain,
( ~ ca_Ax4(u)
| ~ ca_Ax4(u)
| ~ rinvR(u,v)
| equal(skf16(u),v) ),
inference(res,[status(thm),theory(equality)],[23,30]),
[iquote('0:Res:23.1,30.1')] ).
cnf(56,plain,
( ~ ca_Ax4(u)
| ~ rinvR(u,v)
| equal(skf16(u),v) ),
inference(obv,[status(thm),theory(equality)],[54]),
[iquote('0:Obv:54.0')] ).
cnf(59,plain,
( ~ cUnsatisfiable(u)
| ~ ca_Ax4(skf10(u))
| equal(skf16(skf10(u)),u) ),
inference(res,[status(thm),theory(equality)],[44,56]),
[iquote('0:Res:44.1,56.1')] ).
cnf(60,plain,
( ~ cUnsatisfiable(u)
| equal(skf16(skf10(u)),u) ),
inference(ssi,[status(thm)],[59,5]),
[iquote('0:SSi:59.1,5.0')] ).
cnf(63,plain,
( ~ cUnsatisfiable(u)
| ca_Vx5(u) ),
inference(spr,[status(thm),theory(equality)],[60,6]),
[iquote('0:SpR:60.1,6.0')] ).
cnf(66,plain,
~ cUnsatisfiable(u),
inference(mrr,[status(thm)],[63,49]),
[iquote('0:MRR:63.1,49.0')] ).
cnf(67,plain,
$false,
inference(unc,[status(thm)],[66,2]),
[iquote('0:UnC:66.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS114+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n024.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 : Tue Jun 7 07:20:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46
% 0.19/0.46 SPASS V 3.9
% 0.19/0.46 SPASS beiseite: Proof found.
% 0.19/0.46 % SZS status Theorem
% 0.19/0.46 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 SPASS derived 29 clauses, backtracked 0 clauses, performed 0 splits and kept 44 clauses.
% 0.19/0.46 SPASS allocated 97921 KBytes.
% 0.19/0.46 SPASS spent 0:00:00.10 on the problem.
% 0.19/0.46 0:00:00.04 for the input.
% 0.19/0.46 0:00:00.04 for the FLOTTER CNF translation.
% 0.19/0.46 0:00:00.00 for inferences.
% 0.19/0.46 0:00:00.00 for the backtracking.
% 0.19/0.46 0:00:00.00 for the reduction.
% 0.19/0.46
% 0.19/0.46
% 0.19/0.46 Here is a proof with depth 3, length 25 :
% 0.19/0.46 % SZS output start Refutation
% See solution above
% 0.19/0.46 Formulae used in the proof : axiom_11 axiom_2 axiom_6 axiom_7 axiom_8 axiom_3 axiom_4 axiom_10 axiom_9
% 0.19/0.46
%------------------------------------------------------------------------------