TSTP Solution File: KRS014-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS014-1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 03:30:17 EDT 2022
% Result : Satisfiable 0.18s 0.40s
% Output : Saturation 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 83)
% Comments :
%------------------------------------------------------------------------------
cnf(84,plain,
( ~ s2exact(u)
| ~ s(u,u2r1(u2r2(u),u2r3(u),v))
| ~ s(v,u2r3(u))
| ~ s(v,u2r2(u))
| s2exact(v)
| equalish(u2r2(u),u2r3(u)) ),
inference(obv,[status(thm),theory(equality)],[83]),
[iquote('0:Obv:83.7')] ).
cnf(62,plain,
( ~ s2exact(u)
| ~ s(u,u2r1(v,u2r3(u),w))
| ~ s(w,u2r3(u))
| ~ s(w,v)
| equalish(u2r1(v,u2r3(u),w),u2r2(u))
| s2exact(w)
| equalish(v,u2r3(u)) ),
inference(res,[status(thm),theory(equality)],[11,15]),
[iquote('0:Res:11.3,15.2')] ).
cnf(81,plain,
( ~ s2exact(u)
| ~ s(u,u2r1(u2r3(u),u2r2(u),v))
| ~ s(v,u2r2(u))
| ~ s(v,u2r3(u))
| s2exact(v) ),
inference(mrr,[status(thm)],[80,12]),
[iquote('0:MRR:80.5,12.1')] ).
cnf(60,plain,
( ~ s2exact(u)
| ~ s(u,u2r1(u2r3(u),v,w))
| ~ s(w,v)
| ~ s(w,u2r3(u))
| equalish(u2r1(u2r3(u),v,w),u2r2(u))
| s2exact(w)
| equalish(u2r3(u),v) ),
inference(res,[status(thm),theory(equality)],[11,16]),
[iquote('0:Res:11.3,16.2')] ).
cnf(70,plain,
( ~ e(u)
| ~ s(u,u2r1(v,u1r2(u),w))
| ~ s(w,u1r2(u))
| ~ s(w,v)
| s2exact(w)
| equalish(v,u1r2(u)) ),
inference(ssi,[status(thm)],[68,4]),
[iquote('0:SSi:68.1,4.1')] ).
cnf(66,plain,
( ~ e(u)
| ~ s(u,u2r1(u1r2(u),v,w))
| ~ s(w,v)
| ~ s(w,u1r2(u))
| s2exact(w)
| equalish(u1r2(u),v) ),
inference(ssi,[status(thm)],[64,4]),
[iquote('0:SSi:64.1,4.1')] ).
cnf(69,plain,
( ~ s(exists__dfg,u2r1(u,u1r2(exists__dfg),v))
| ~ s(v,u1r2(exists__dfg))
| ~ s(v,u)
| s2exact(v)
| equalish(u,u1r2(exists__dfg)) ),
inference(ssi,[status(thm)],[67,18,22,21]),
[iquote('0:SSi:67.0,18.0,22.0,21.0')] ).
cnf(65,plain,
( ~ s(exists__dfg,u2r1(u1r2(exists__dfg),u,v))
| ~ s(v,u)
| ~ s(v,u1r2(exists__dfg))
| s2exact(v)
| equalish(u1r2(exists__dfg),u) ),
inference(ssi,[status(thm)],[63,18,22,21]),
[iquote('0:SSi:63.0,18.0,22.0,21.0')] ).
cnf(61,plain,
( ~ r1exact(u)
| ~ r(u,u2r1(v,u1r2(u),w))
| ~ s(w,u1r2(u))
| ~ s(w,v)
| s2exact(w)
| equalish(v,u1r2(u)) ),
inference(res,[status(thm),theory(equality)],[7,15]),
[iquote('0:Res:7.2,15.2')] ).
cnf(59,plain,
( ~ r1exact(u)
| ~ r(u,u2r1(u1r2(u),v,w))
| ~ s(w,v)
| ~ s(w,u1r2(u))
| s2exact(w)
| equalish(u1r2(u),v) ),
inference(res,[status(thm),theory(equality)],[7,16]),
[iquote('0:Res:7.2,16.2')] ).
cnf(46,plain,
( ~ s2exact(u)
| ~ s(u,u1r1(u2r3(u),v))
| ~ r(v,u2r3(u))
| equalish(u1r1(u2r3(u),v),u2r2(u))
| r1exact(v) ),
inference(res,[status(thm),theory(equality)],[11,9]),
[iquote('0:Res:11.3,9.1')] ).
cnf(15,axiom,
( ~ s(u,v)
| ~ s(u,w)
| ~ equalish(u2r1(w,v,u),v)
| s2exact(u)
| equalish(w,v) ),
file('KRS014-1.p',unknown),
[] ).
cnf(16,axiom,
( ~ s(u,v)
| ~ s(u,w)
| ~ equalish(u2r1(w,v,u),w)
| s2exact(u)
| equalish(w,v) ),
file('KRS014-1.p',unknown),
[] ).
cnf(17,axiom,
( ~ s(u,v)
| ~ s(u,w)
| s2exact(u)
| equalish(w,v)
| s(u,u2r1(w,v,u)) ),
file('KRS014-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ s2exact(u)
| ~ r1exact(u)
| ~ s(u,u0r1(u))
| ~ r(u,u0r1(u))
| e(u) ),
file('KRS014-1.p',unknown),
[] ).
cnf(54,plain,
( ~ e(u)
| ~ s(u,u1r1(u1r2(u),v))
| ~ r(v,u1r2(u))
| r1exact(v) ),
inference(ssi,[status(thm)],[51,4]),
[iquote('0:SSi:51.1,4.1')] ).
cnf(53,plain,
( ~ s(exists__dfg,u1r1(u1r2(exists__dfg),u))
| ~ r(u,u1r2(exists__dfg))
| r1exact(u) ),
inference(ssi,[status(thm)],[50,18,22,21]),
[iquote('0:SSi:50.0,18.0,22.0,21.0')] ).
cnf(45,plain,
( ~ r1exact(u)
| ~ r(u,u1r1(u1r2(u),v))
| ~ r(v,u1r2(u))
| r1exact(v) ),
inference(res,[status(thm),theory(equality)],[7,9]),
[iquote('0:Res:7.2,9.1')] ).
cnf(5,axiom,
( ~ s2exact(u)
| ~ r1exact(u)
| e(u)
| r(u,u0r1(u))
| s(u,u0r1(u)) ),
file('KRS014-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ s2exact(u)
| ~ s(u,v)
| equalish(v,u2r2(u))
| equalish(v,u2r3(u)) ),
file('KRS014-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ r(u,v)
| ~ equalish(u1r1(v,u),v)
| r1exact(u) ),
file('KRS014-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ r(u,v)
| r1exact(u)
| r(u,u1r1(v,u)) ),
file('KRS014-1.p',unknown),
[] ).
cnf(42,plain,
( ~ e(u)
| s(u,u1r2(u)) ),
inference(ssi,[status(thm)],[40,4]),
[iquote('0:SSi:40.0,4.1')] ).
cnf(7,axiom,
( ~ r1exact(u)
| ~ r(u,v)
| equalish(v,u1r2(u)) ),
file('KRS014-1.p',unknown),
[] ).
cnf(1,axiom,
( ~ e(u)
| ~ r(u,v)
| s(u,v) ),
file('KRS014-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ e(u)
| ~ s(u,v)
| r(u,v) ),
file('KRS014-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ s2exact(u)
| ~ equalish(u2r3(u),u2r2(u)) ),
file('KRS014-1.p',unknown),
[] ).
cnf(13,axiom,
( ~ s2exact(u)
| s(u,u2r2(u)) ),
file('KRS014-1.p',unknown),
[] ).
cnf(14,axiom,
( ~ s2exact(u)
| s(u,u2r3(u)) ),
file('KRS014-1.p',unknown),
[] ).
cnf(37,plain,
s(exists__dfg,u1r2(exists__dfg)),
inference(ssi,[status(thm)],[36,18,22,21]),
[iquote('0:SSi:36.0,18.0,22.0,21.0')] ).
cnf(8,axiom,
( ~ r1exact(u)
| r(u,u1r2(u)) ),
file('KRS014-1.p',unknown),
[] ).
cnf(19,plain,
( ~ r(exists__dfg,u)
| s(exists__dfg,u) ),
inference(res,[status(thm),theory(equality)],[18,1]),
[iquote('0:Res:18.0,1.0')] ).
cnf(20,plain,
( ~ s(exists__dfg,u)
| r(exists__dfg,u) ),
inference(res,[status(thm),theory(equality)],[18,2]),
[iquote('0:Res:18.0,2.0')] ).
cnf(3,axiom,
( ~ e(u)
| s2exact(u) ),
file('KRS014-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ e(u)
| r1exact(u) ),
file('KRS014-1.p',unknown),
[] ).
cnf(21,plain,
s2exact(exists__dfg),
inference(res,[status(thm),theory(equality)],[18,3]),
[iquote('0:Res:18.0,3.0')] ).
cnf(22,plain,
r1exact(exists__dfg),
inference(res,[status(thm),theory(equality)],[18,4]),
[iquote('0:Res:18.0,4.0')] ).
cnf(18,axiom,
e(exists__dfg),
file('KRS014-1.p',unknown),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS014-1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n028.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 17:52:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.40
% 0.18/0.40 SPASS V 3.9
% 0.18/0.40 SPASS beiseite: Completion found.
% 0.18/0.40 % SZS status CounterSatisfiable
% 0.18/0.40 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.40 SPASS derived 38 clauses, backtracked 0 clauses, performed 0 splits and kept 38 clauses.
% 0.18/0.40 SPASS allocated 75678 KBytes.
% 0.18/0.40 SPASS spent 0:00:00.06 on the problem.
% 0.18/0.40 0:00:00.03 for the input.
% 0.18/0.40 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.40 0:00:00.00 for inferences.
% 0.18/0.40 0:00:00.00 for the backtracking.
% 0.18/0.40 0:00:00.00 for the reduction.
% 0.18/0.40
% 0.18/0.40
% 0.18/0.40 The saturated set of worked-off clauses is :
% 0.18/0.40 % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------