%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS081+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 03:30:29 EDT 2022
% Result : Unsatisfiable 0.73s 0.93s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 22
% Syntax : Number of clauses : 53 ( 8 unt; 28 nHn; 53 RR)
% Number of literals : 308 ( 0 equ; 86 neg)
% Maximal clause size : 16 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
cUnsatisfiable(i2003_11_14_17_19_24236),
file('KRS081+1.p',unknown),
[] ).
cnf(6,axiom,
cp1(skf20(u)),
file('KRS081+1.p',unknown),
[] ).
cnf(8,axiom,
cp5(skf18(u)),
file('KRS081+1.p',unknown),
[] ).
cnf(9,axiom,
cp2(skf17(u)),
file('KRS081+1.p',unknown),
[] ).
cnf(11,axiom,
cp4(skf15(u)),
file('KRS081+1.p',unknown),
[] ).
cnf(12,axiom,
cp3(skf14(u)),
file('KRS081+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ cp1(u)
| ~ cp2(u) ),
file('KRS081+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ cp1(u)
| ~ cp4(u) ),
file('KRS081+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ cp1(u)
| ~ cp5(u) ),
file('KRS081+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ cp1(u)
| ~ cp3(u) ),
file('KRS081+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ cp2(u)
| ~ cp4(u) ),
file('KRS081+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ cp2(u)
| ~ cp5(u) ),
file('KRS081+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ cp2(u)
| ~ cp3(u) ),
file('KRS081+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ cp3(u)
| ~ cp4(u) ),
file('KRS081+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ cp3(u)
| ~ cp5(u) ),
file('KRS081+1.p',unknown),
[] ).
cnf(28,axiom,
( ~ cp5(u)
| ~ cp4(u) ),
file('KRS081+1.p',unknown),
[] ).
cnf(29,axiom,
( ~ cUnsatisfiable(u)
| rr(u,skf14(u)) ),
file('KRS081+1.p',unknown),
[] ).
cnf(30,axiom,
( ~ cUnsatisfiable(u)
| rr(u,skf15(u)) ),
file('KRS081+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ cUnsatisfiable(u)
| rr(u,skf17(u)) ),
file('KRS081+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ cUnsatisfiable(u)
| rr(u,skf18(u)) ),
file('KRS081+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ cUnsatisfiable(u)
| rr(u,skf20(u)) ),
file('KRS081+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ cUnsatisfiable(u)
| ~ rr(u,v)
| ~ rr(u,w)
| ~ rr(u,x)
| ~ rr(u,y)
| ~ rr(u,z)
| equal(x,w)
| equal(y,w)
| equal(y,x)
| equal(z,y)
| equal(z,x)
| equal(z,w)
| equal(v,w)
| equal(v,x)
| equal(v,y)
| equal(v,z) ),
file('KRS081+1.p',unknown),
[] ).
cnf(107,plain,
( ~ cUnsatisfiable(u)
| ~ cUnsatisfiable(u)
| ~ rr(u,v)
| ~ rr(u,w)
| ~ rr(u,x)
| ~ rr(u,y)
| equal(w,v)
| equal(x,v)
| equal(x,w)
| equal(y,x)
| equal(y,w)
| equal(y,v)
| equal(skf14(u),v)
| equal(skf14(u),w)
| equal(skf14(u),x)
| equal(skf14(u),y) ),
inference(res,[status(thm),theory(equality)],[29,43]),
[iquote('0:Res:29.1,43.1')] ).
cnf(108,plain,
( ~ cUnsatisfiable(u)
| ~ rr(u,v)
| ~ rr(u,w)
| ~ rr(u,x)
| ~ rr(u,y)
| equal(w,v)
| equal(x,v)
| equal(x,w)
| equal(y,x)
| equal(y,w)
| equal(y,v)
| equal(skf14(u),v)
| equal(skf14(u),w)
| equal(skf14(u),x)
| equal(skf14(u),y) ),
inference(obv,[status(thm),theory(equality)],[107]),
[iquote('0:Obv:107.0')] ).
cnf(124,plain,
( ~ cUnsatisfiable(u)
| ~ cUnsatisfiable(u)
| ~ rr(u,v)
| ~ rr(u,w)
| ~ rr(u,x)
| equal(v,skf15(u))
| equal(w,skf15(u))
| equal(w,v)
| equal(x,w)
| equal(x,v)
| equal(x,skf15(u))
| equal(skf15(u),skf14(u))
| equal(skf14(u),v)
| equal(skf14(u),w)
| equal(skf14(u),x) ),
inference(res,[status(thm),theory(equality)],[30,108]),
[iquote('0:Res:30.1,108.1')] ).
cnf(126,plain,
( ~ cUnsatisfiable(u)
| ~ rr(u,v)
| ~ rr(u,w)
| ~ rr(u,x)
| equal(v,skf15(u))
| equal(w,skf15(u))
| equal(w,v)
| equal(x,w)
| equal(x,v)
| equal(x,skf15(u))
| equal(skf15(u),skf14(u))
| equal(skf14(u),v)
| equal(skf14(u),w)
| equal(skf14(u),x) ),
inference(obv,[status(thm),theory(equality)],[124]),
[iquote('0:Obv:124.0')] ).
cnf(139,plain,
( ~ cUnsatisfiable(u)
| ~ cUnsatisfiable(u)
| ~ rr(u,v)
| ~ rr(u,w)
| equal(skf17(u),skf15(u))
| equal(v,skf15(u))
| equal(v,skf17(u))
| equal(w,v)
| equal(w,skf17(u))
| equal(w,skf15(u))
| equal(skf15(u),skf14(u))
| equal(skf17(u),skf14(u))
| equal(skf14(u),v)
| equal(skf14(u),w) ),
inference(res,[status(thm),theory(equality)],[32,126]),
[iquote('0:Res:32.1,126.1')] ).
cnf(144,plain,
( ~ cUnsatisfiable(u)
| ~ rr(u,v)
| ~ rr(u,w)
| equal(skf17(u),skf15(u))
| equal(v,skf15(u))
| equal(v,skf17(u))
| equal(w,v)
| equal(w,skf17(u))
| equal(w,skf15(u))
| equal(skf15(u),skf14(u))
| equal(skf17(u),skf14(u))
| equal(skf14(u),v)
| equal(skf14(u),w) ),
inference(obv,[status(thm),theory(equality)],[139]),
[iquote('0:Obv:139.0')] ).
cnf(238,plain,
( ~ cUnsatisfiable(u)
| ~ cUnsatisfiable(u)
| ~ rr(u,v)
| equal(skf17(u),skf15(u))
| equal(skf18(u),skf15(u))
| equal(skf18(u),skf17(u))
| equal(v,skf18(u))
| equal(v,skf17(u))
| equal(v,skf15(u))
| equal(skf15(u),skf14(u))
| equal(skf17(u),skf14(u))
| equal(skf18(u),skf14(u))
| equal(skf14(u),v) ),
inference(res,[status(thm),theory(equality)],[33,144]),
[iquote('0:Res:33.1,144.1')] ).
cnf(244,plain,
( ~ cUnsatisfiable(u)
| ~ rr(u,v)
| equal(skf17(u),skf15(u))
| equal(skf18(u),skf15(u))
| equal(skf18(u),skf17(u))
| equal(v,skf18(u))
| equal(v,skf17(u))
| equal(v,skf15(u))
| equal(skf15(u),skf14(u))
| equal(skf17(u),skf14(u))
| equal(skf18(u),skf14(u))
| equal(skf14(u),v) ),
inference(obv,[status(thm),theory(equality)],[238]),
[iquote('0:Obv:238.0')] ).
cnf(251,plain,
( ~ cUnsatisfiable(u)
| ~ cUnsatisfiable(u)
| equal(skf17(u),skf15(u))
| equal(skf18(u),skf15(u))
| equal(skf18(u),skf17(u))
| equal(skf20(u),skf18(u))
| equal(skf20(u),skf17(u))
| equal(skf20(u),skf15(u))
| equal(skf15(u),skf14(u))
| equal(skf17(u),skf14(u))
| equal(skf18(u),skf14(u))
| equal(skf20(u),skf14(u)) ),
inference(res,[status(thm),theory(equality)],[35,244]),
[iquote('0:Res:35.1,244.1')] ).
cnf(260,plain,
( ~ cUnsatisfiable(u)
| equal(skf17(u),skf15(u))
| equal(skf18(u),skf15(u))
| equal(skf18(u),skf17(u))
| equal(skf20(u),skf18(u))
| equal(skf20(u),skf17(u))
| equal(skf20(u),skf15(u))
| equal(skf15(u),skf14(u))
| equal(skf17(u),skf14(u))
| equal(skf18(u),skf14(u))
| equal(skf20(u),skf14(u)) ),
inference(obv,[status(thm),theory(equality)],[251]),
[iquote('0:Obv:251.0')] ).
cnf(299,plain,
( ~ cUnsatisfiable(u)
| equal(skf17(u),skf15(u))
| equal(skf18(u),skf15(u))
| equal(skf18(u),skf17(u))
| equal(skf20(u),skf17(u))
| equal(skf20(u),skf15(u))
| equal(skf15(u),skf14(u))
| equal(skf17(u),skf14(u))
| equal(skf18(u),skf14(u))
| equal(skf20(u),skf14(u))
| cp1(skf18(u)) ),
inference(spr,[status(thm),theory(equality)],[260,6]),
[iquote('0:SpR:260.4,6.0')] ).
cnf(303,plain,
( ~ cUnsatisfiable(u)
| equal(skf17(u),skf15(u))
| equal(skf18(u),skf15(u))
| equal(skf18(u),skf17(u))
| equal(skf20(u),skf17(u))
| equal(skf20(u),skf15(u))
| equal(skf15(u),skf14(u))
| equal(skf17(u),skf14(u))
| equal(skf18(u),skf14(u))
| equal(skf20(u),skf14(u)) ),
inference(ems,[status(thm)],[21,299,8]),
[iquote('0:EmS:21.0,21.1,299.10,8.0')] ).
cnf(306,plain,
( ~ cUnsatisfiable(u)
| equal(skf17(u),skf15(u))
| equal(skf18(u),skf15(u))
| equal(skf18(u),skf17(u))
| equal(skf20(u),skf15(u))
| equal(skf15(u),skf14(u))
| equal(skf17(u),skf14(u))
| equal(skf18(u),skf14(u))
| equal(skf20(u),skf14(u))
| cp1(skf17(u)) ),
inference(spr,[status(thm),theory(equality)],[303,6]),
[iquote('0:SpR:303.4,6.0')] ).
cnf(310,plain,
( ~ cUnsatisfiable(u)
| equal(skf17(u),skf15(u))
| equal(skf18(u),skf15(u))
| equal(skf18(u),skf17(u))
| equal(skf20(u),skf15(u))
| equal(skf15(u),skf14(u))
| equal(skf17(u),skf14(u))
| equal(skf18(u),skf14(u))
| equal(skf20(u),skf14(u)) ),
inference(ems,[status(thm)],[19,306,9]),
[iquote('0:EmS:19.0,19.1,306.9,9.0')] ).
cnf(312,plain,
( ~ cUnsatisfiable(u)
| equal(skf17(u),skf15(u))
| equal(skf18(u),skf15(u))
| equal(skf18(u),skf17(u))
| equal(skf15(u),skf14(u))
| equal(skf17(u),skf14(u))
| equal(skf18(u),skf14(u))
| equal(skf20(u),skf14(u))
| cp1(skf15(u)) ),
inference(spr,[status(thm),theory(equality)],[310,6]),
[iquote('0:SpR:310.4,6.0')] ).
cnf(316,plain,
( ~ cUnsatisfiable(u)
| equal(skf17(u),skf15(u))
| equal(skf18(u),skf15(u))
| equal(skf18(u),skf17(u))
| equal(skf15(u),skf14(u))
| equal(skf17(u),skf14(u))
| equal(skf18(u),skf14(u))
| equal(skf20(u),skf14(u)) ),
inference(ems,[status(thm)],[20,312,11]),
[iquote('0:EmS:20.0,20.1,312.8,11.0')] ).
cnf(317,plain,
( ~ cUnsatisfiable(u)
| equal(skf17(u),skf15(u))
| equal(skf18(u),skf15(u))
| equal(skf18(u),skf17(u))
| equal(skf15(u),skf14(u))
| equal(skf17(u),skf14(u))
| equal(skf18(u),skf14(u))
| cp1(skf14(u)) ),
inference(spr,[status(thm),theory(equality)],[316,6]),
[iquote('0:SpR:316.7,6.0')] ).
cnf(321,plain,
( ~ cUnsatisfiable(u)
| equal(skf17(u),skf15(u))
| equal(skf18(u),skf15(u))
| equal(skf18(u),skf17(u))
| equal(skf15(u),skf14(u))
| equal(skf17(u),skf14(u))
| equal(skf18(u),skf14(u)) ),
inference(ems,[status(thm)],[22,317,12]),
[iquote('0:EmS:22.0,22.1,317.7,12.0')] ).
cnf(324,plain,
( ~ cUnsatisfiable(u)
| equal(skf17(u),skf15(u))
| equal(skf18(u),skf15(u))
| equal(skf15(u),skf14(u))
| equal(skf17(u),skf14(u))
| equal(skf18(u),skf14(u))
| cp5(skf17(u)) ),
inference(spr,[status(thm),theory(equality)],[321,8]),
[iquote('0:SpR:321.3,8.0')] ).
cnf(328,plain,
( ~ cUnsatisfiable(u)
| equal(skf18(u),skf14(u))
| equal(skf17(u),skf14(u))
| equal(skf15(u),skf14(u))
| equal(skf18(u),skf15(u))
| equal(skf17(u),skf15(u)) ),
inference(ems,[status(thm)],[24,9,324]),
[iquote('0:EmS:24.0,24.1,9.0,324.6')] ).
cnf(330,plain,
( ~ cUnsatisfiable(u)
| equal(skf18(u),skf14(u))
| equal(skf17(u),skf14(u))
| equal(skf15(u),skf14(u))
| equal(skf17(u),skf15(u))
| cp5(skf15(u)) ),
inference(spr,[status(thm),theory(equality)],[328,8]),
[iquote('0:SpR:328.4,8.0')] ).
cnf(351,plain,
( ~ cUnsatisfiable(u)
| equal(skf18(u),skf14(u))
| equal(skf17(u),skf14(u))
| equal(skf15(u),skf14(u))
| equal(skf17(u),skf15(u)) ),
inference(ems,[status(thm)],[28,330,11]),
[iquote('0:EmS:28.0,28.1,330.5,11.0')] ).
cnf(352,plain,
( ~ cUnsatisfiable(u)
| equal(skf17(u),skf14(u))
| equal(skf15(u),skf14(u))
| equal(skf17(u),skf15(u))
| cp5(skf14(u)) ),
inference(spr,[status(thm),theory(equality)],[351,8]),
[iquote('0:SpR:351.1,8.0')] ).
cnf(356,plain,
( ~ cUnsatisfiable(u)
| equal(skf17(u),skf15(u))
| equal(skf15(u),skf14(u))
| equal(skf17(u),skf14(u)) ),
inference(ems,[status(thm)],[27,12,352]),
[iquote('0:EmS:27.0,27.1,12.0,352.4')] ).
cnf(358,plain,
( ~ cUnsatisfiable(u)
| equal(skf15(u),skf14(u))
| equal(skf17(u),skf14(u))
| cp2(skf15(u)) ),
inference(spr,[status(thm),theory(equality)],[356,9]),
[iquote('0:SpR:356.1,9.0')] ).
cnf(381,plain,
( ~ cUnsatisfiable(u)
| equal(skf15(u),skf14(u))
| equal(skf17(u),skf14(u)) ),
inference(ems,[status(thm)],[23,358,11]),
[iquote('0:EmS:23.0,23.1,358.3,11.0')] ).
cnf(382,plain,
( ~ cUnsatisfiable(u)
| equal(skf15(u),skf14(u))
| cp2(skf14(u)) ),
inference(spr,[status(thm),theory(equality)],[381,9]),
[iquote('0:SpR:381.2,9.0')] ).
cnf(388,plain,
( ~ cUnsatisfiable(u)
| equal(skf15(u),skf14(u)) ),
inference(ems,[status(thm)],[25,382,12]),
[iquote('0:EmS:25.0,25.1,382.2,12.0')] ).
cnf(422,plain,
( ~ cUnsatisfiable(u)
| cp4(skf14(u)) ),
inference(spr,[status(thm),theory(equality)],[388,11]),
[iquote('0:SpR:388.1,11.0')] ).
cnf(424,plain,
~ cUnsatisfiable(u),
inference(ems,[status(thm)],[26,12,422]),
[iquote('0:EmS:26.0,26.1,12.0,422.1')] ).
cnf(425,plain,
$false,
inference(unc,[status(thm)],[424,2]),
[iquote('0:UnC:424.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : KRS081+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n025.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 11:53:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.73/0.93
% 0.73/0.93 SPASS V 3.9
% 0.73/0.93 SPASS beiseite: Proof found.
% 0.73/0.93 % SZS status Theorem
% 0.73/0.93 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.73/0.93 SPASS derived 264 clauses, backtracked 0 clauses, performed 0 splits and kept 161 clauses.
% 0.73/0.93 SPASS allocated 101886 KBytes.
% 0.73/0.93 SPASS spent 0:00:00.58 on the problem.
% 0.73/0.93 0:00:00.03 for the input.
% 0.73/0.93 0:00:00.38 for the FLOTTER CNF translation.
% 0.73/0.93 0:00:00.01 for inferences.
% 0.73/0.93 0:00:00.00 for the backtracking.
% 0.73/0.93 0:00:00.13 for the reduction.
% 0.73/0.93
% 0.73/0.93
% 0.73/0.93 Here is a proof with depth 25, length 53 :
% 0.73/0.93 % SZS output start Refutation
% See solution above
% 0.73/0.93 Formulae used in the proof : axiom_7 axiom_2 axiom_3 axiom_4 axiom_5 axiom_6
% 0.73/0.93
%------------------------------------------------------------------------------