TSTP Solution File: GRP408-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP408-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n016.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 : Sat Jul 16 11:47:14 EDT 2022
% Result : Unsatisfiable 33.92s 34.15s
% Output : Refutation 34.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 2
% Syntax : Number of clauses : 71 ( 71 unt; 0 nHn; 71 RR)
% Number of literals : 71 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(multiply(u,inverse(multiply(inverse(multiply(inverse(multiply(u,v)),w)),multiply(inverse(v),multiply(inverse(v),v))))),w),
file('GRP408-1.p',unknown),
[] ).
cnf(2,axiom,
~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))),
file('GRP408-1.p',unknown),
[] ).
cnf(3,plain,
equal(multiply(u,inverse(multiply(inverse(v),multiply(inverse(w),multiply(inverse(w),w))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,w)),x)),v)),multiply(inverse(x),multiply(inverse(x),x))))),
inference(spr,[status(thm),theory(equality)],[1]),
[iquote('0:SpR:1.0,1.0')] ).
cnf(4,plain,
equal(multiply(u,inverse(multiply(inverse(multiply(inverse(v),w)),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(u,x)),v)),multiply(inverse(x),multiply(inverse(x),x))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(u,x)),v)),multiply(inverse(x),multiply(inverse(x),x))))),inverse(multiply(inverse(multiply(inverse(multiply(u,x)),v)),multiply(inverse(x),multiply(inverse(x),x))))))))),w),
inference(spr,[status(thm),theory(equality)],[1]),
[iquote('0:SpR:1.0,1.0')] ).
cnf(21,plain,
equal(multiply(inverse(multiply(u,v)),multiply(u,inverse(multiply(inverse(w),multiply(inverse(v),multiply(inverse(v),v)))))),w),
inference(spr,[status(thm),theory(equality)],[3,1]),
[iquote('0:SpR:3.0,1.0')] ).
cnf(57,plain,
equal(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(multiply(inverse(multiply(inverse(multiply(u,v)),w)),multiply(inverse(v),multiply(inverse(v),v)))))),x)),multiply(inverse(w),y))),multiply(inverse(x),multiply(inverse(x),x)))),y),
inference(spr,[status(thm),theory(equality)],[4,3]),
[iquote('0:SpR:4.0,3.0')] ).
cnf(104,plain,
equal(inverse(multiply(inverse(multiply(inverse(multiply(inverse(u),v)),multiply(inverse(u),w))),multiply(inverse(v),multiply(inverse(v),v)))),w),
inference(rew,[status(thm),theory(equality)],[1,57]),
[iquote('0:Rew:1.0,57.0')] ).
cnf(131,plain,
equal(multiply(inverse(multiply(u,v)),multiply(u,w)),multiply(inverse(multiply(inverse(x),v)),multiply(inverse(x),w))),
inference(spr,[status(thm),theory(equality)],[104,21]),
[iquote('0:SpR:104.0,21.0')] ).
cnf(140,plain,
equal(inverse(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(u,w))),multiply(inverse(v),multiply(inverse(v),v)))),w),
inference(spr,[status(thm),theory(equality)],[104]),
[iquote('0:SpR:104.0,104.0')] ).
cnf(191,plain,
equal(multiply(inverse(multiply(u,v)),multiply(u,w)),multiply(inverse(multiply(x,v)),multiply(x,w))),
inference(spr,[status(thm),theory(equality)],[131]),
[iquote('0:SpR:131.0,131.0')] ).
cnf(197,plain,
equal(multiply(inverse(multiply(u,v)),multiply(u,inverse(multiply(inverse(multiply(w,x)),multiply(w,multiply(inverse(v),v)))))),multiply(inverse(v),x)),
inference(spr,[status(thm),theory(equality)],[131,21]),
[iquote('0:SpR:131.0,21.0')] ).
cnf(219,plain,
equal(multiply(inverse(multiply(u,multiply(v,inverse(multiply(inverse(w),multiply(inverse(x),multiply(inverse(x),x))))))),multiply(u,y)),multiply(inverse(w),multiply(inverse(multiply(v,x)),y))),
inference(spr,[status(thm),theory(equality)],[21,131]),
[iquote('0:SpR:21.0,131.0')] ).
cnf(255,plain,
equal(multiply(u,inverse(multiply(inverse(multiply(inverse(multiply(u,multiply(v,w))),x)),multiply(inverse(multiply(v,w)),multiply(inverse(multiply(y,w)),multiply(y,w)))))),x),
inference(spr,[status(thm),theory(equality)],[191,1]),
[iquote('0:SpR:191.0,1.0')] ).
cnf(256,plain,
equal(multiply(inverse(multiply(u,multiply(v,w))),multiply(u,inverse(multiply(inverse(x),multiply(inverse(multiply(v,w)),multiply(inverse(multiply(y,w)),multiply(y,w))))))),x),
inference(spr,[status(thm),theory(equality)],[191,21]),
[iquote('0:SpR:191.0,21.0')] ).
cnf(276,plain,
equal(multiply(inverse(multiply(u,v)),multiply(u,multiply(w,x))),multiply(inverse(multiply(inverse(multiply(w,y)),v)),multiply(inverse(multiply(z,y)),multiply(z,x)))),
inference(spr,[status(thm),theory(equality)],[191]),
[iquote('0:SpR:191.0,191.0')] ).
cnf(277,plain,
equal(multiply(inverse(multiply(u,multiply(v,w))),multiply(u,x)),multiply(inverse(multiply(inverse(multiply(y,z)),multiply(y,w))),multiply(inverse(multiply(v,z)),x))),
inference(spr,[status(thm),theory(equality)],[191]),
[iquote('0:SpR:191.0,191.0')] ).
cnf(288,plain,
equal(multiply(inverse(multiply(u,v)),multiply(u,inverse(multiply(inverse(multiply(inverse(multiply(w,x)),y)),multiply(inverse(x),multiply(inverse(x),x)))))),multiply(inverse(multiply(w,v)),y)),
inference(spr,[status(thm),theory(equality)],[1,191]),
[iquote('0:SpR:1.0,191.0')] ).
cnf(292,plain,
equal(multiply(inverse(multiply(u,inverse(multiply(inverse(multiply(inverse(multiply(v,w)),x)),multiply(inverse(w),multiply(inverse(w),w)))))),multiply(u,y)),multiply(inverse(x),multiply(v,y))),
inference(spr,[status(thm),theory(equality)],[1,191]),
[iquote('0:SpR:1.0,191.0')] ).
cnf(326,plain,
equal(multiply(inverse(multiply(u,multiply(inverse(v),multiply(inverse(v),v)))),multiply(u,w)),multiply(x,multiply(inverse(multiply(inverse(multiply(y,v)),multiply(y,x))),w))),
inference(spr,[status(thm),theory(equality)],[140,191]),
[iquote('0:SpR:140.0,191.0')] ).
cnf(456,plain,
equal(inverse(multiply(inverse(multiply(inverse(u),v)),multiply(inverse(u),multiply(inverse(u),u)))),inverse(multiply(inverse(multiply(w,v)),multiply(w,multiply(inverse(u),u))))),
inference(spr,[status(thm),theory(equality)],[197,140]),
[iquote('0:SpR:197.0,140.0')] ).
cnf(617,plain,
equal(inverse(multiply(inverse(multiply(u,v)),multiply(u,multiply(inverse(w),w)))),inverse(multiply(inverse(multiply(x,v)),multiply(x,multiply(inverse(w),w))))),
inference(spr,[status(thm),theory(equality)],[191,456]),
[iquote('0:SpR:191.0,456.0')] ).
cnf(1813,plain,
equal(multiply(inverse(multiply(u,multiply(v,w))),multiply(u,multiply(v,x))),multiply(inverse(multiply(y,multiply(z,w))),multiply(y,multiply(z,x)))),
inference(spr,[status(thm),theory(equality)],[276,277]),
[iquote('0:SpR:276.0,277.0')] ).
cnf(3043,plain,
equal(multiply(inverse(multiply(u,multiply(v,multiply(w,x)))),multiply(u,inverse(multiply(inverse(multiply(y,z)),multiply(y,multiply(inverse(multiply(x1,multiply(x2,x))),multiply(x1,multiply(x2,x)))))))),multiply(inverse(multiply(v,multiply(w,x))),z)),
inference(spr,[status(thm),theory(equality)],[1813,197]),
[iquote('0:SpR:1813.0,197.0')] ).
cnf(3861,plain,
equal(multiply(inverse(multiply(u,v)),inverse(multiply(w,multiply(inverse(multiply(u,w)),multiply(inverse(multiply(x,w)),multiply(x,w)))))),multiply(inverse(v),multiply(inverse(v),v))),
inference(spr,[status(thm),theory(equality)],[140,255]),
[iquote('0:SpR:140.0,255.0')] ).
cnf(4886,plain,
equal(multiply(inverse(multiply(u,multiply(inverse(multiply(v,w)),multiply(v,inverse(x))))),multiply(u,inverse(multiply(inverse(multiply(y,multiply(inverse(w),multiply(inverse(w),w)))),multiply(y,multiply(inverse(multiply(z,multiply(v,inverse(x)))),multiply(z,multiply(v,inverse(x))))))))),x),
inference(spr,[status(thm),theory(equality)],[326,256]),
[iquote('0:SpR:326.0,256.0')] ).
cnf(5098,plain,
equal(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(u,inverse(w)))),multiply(inverse(v),multiply(inverse(v),v))),w),
inference(rew,[status(thm),theory(equality)],[3043,4886]),
[iquote('0:Rew:3043.0,4886.0')] ).
cnf(5139,plain,
equal(multiply(inverse(multiply(u,multiply(inverse(v),multiply(inverse(v),v)))),multiply(u,multiply(inverse(v),multiply(inverse(v),v)))),multiply(inverse(w),w)),
inference(spr,[status(thm),theory(equality)],[5098,326]),
[iquote('0:SpR:5098.0,326.0')] ).
cnf(5172,plain,
equal(multiply(inverse(multiply(u,v)),multiply(u,multiply(inverse(w),multiply(inverse(w),w)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(x,w)),multiply(x,inverse(y)))),v)),y)),
inference(spr,[status(thm),theory(equality)],[5098,191]),
[iquote('0:SpR:5098.0,191.0')] ).
cnf(5358,plain,
equal(multiply(inverse(u),u),multiply(inverse(v),v)),
inference(spr,[status(thm),theory(equality)],[5139]),
[iquote('0:SpR:5139.0,5139.0')] ).
cnf(5740,plain,
equal(inverse(multiply(inverse(multiply(inverse(u),u)),multiply(inverse(v),multiply(inverse(v),v)))),v),
inference(spr,[status(thm),theory(equality)],[5358,140]),
[iquote('0:SpR:5358.0,140.0')] ).
cnf(5805,plain,
equal(multiply(inverse(multiply(inverse(u),v)),multiply(inverse(w),w)),multiply(inverse(multiply(x,v)),multiply(x,u))),
inference(spr,[status(thm),theory(equality)],[5358,191]),
[iquote('0:SpR:5358.0,191.0')] ).
cnf(5879,plain,
equal(multiply(u,inverse(multiply(inverse(v),v))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,w)),x)),multiply(inverse(w),multiply(inverse(w),w)))),multiply(inverse(x),multiply(inverse(x),x))))),
inference(spr,[status(thm),theory(equality)],[5358,3]),
[iquote('0:SpR:5358.0,3.0')] ).
cnf(5918,plain,
equal(multiply(u,inverse(multiply(inverse(v),multiply(inverse(w),multiply(inverse(w),w))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,w)),x)),v)),multiply(inverse(x),multiply(inverse(y),y))))),
inference(spr,[status(thm),theory(equality)],[5358,3]),
[iquote('0:SpR:5358.0,3.0')] ).
cnf(5946,plain,
equal(multiply(inverse(multiply(inverse(inverse(multiply(inverse(u),multiply(inverse(multiply(v,w)),multiply(inverse(multiply(x,w)),multiply(x,w)))))),multiply(v,w))),multiply(inverse(y),y)),u),
inference(spr,[status(thm),theory(equality)],[5358,256]),
[iquote('0:SpR:5358.0,256.0')] ).
cnf(5968,plain,
equal(inverse(multiply(inverse(multiply(u,v)),multiply(u,multiply(inverse(w),w)))),inverse(multiply(inverse(multiply(inverse(x),x)),multiply(inverse(v),multiply(inverse(w),w))))),
inference(spr,[status(thm),theory(equality)],[5358,617]),
[iquote('0:SpR:5358.0,617.0')] ).
cnf(5981,plain,
equal(multiply(inverse(multiply(u,v)),multiply(u,inverse(multiply(inverse(multiply(inverse(w),w)),multiply(inverse(x),multiply(inverse(v),v)))))),multiply(inverse(v),x)),
inference(spr,[status(thm),theory(equality)],[5358,197]),
[iquote('0:SpR:5358.0,197.0')] ).
cnf(6395,plain,
equal(inverse(multiply(inverse(multiply(inverse(u),u)),multiply(inverse(v),multiply(inverse(w),w)))),v),
inference(spr,[status(thm),theory(equality)],[5358,5740]),
[iquote('0:SpR:5358.0,5740.0')] ).
cnf(6442,plain,
equal(inverse(multiply(inverse(multiply(u,v)),multiply(u,multiply(inverse(w),w)))),v),
inference(rew,[status(thm),theory(equality)],[6395,5968]),
[iquote('0:Rew:6395.0,5968.0')] ).
cnf(6443,plain,
equal(multiply(inverse(multiply(u,v)),multiply(u,w)),multiply(inverse(v),w)),
inference(rew,[status(thm),theory(equality)],[6395,5981]),
[iquote('0:Rew:6395.0,5981.0')] ).
cnf(6445,plain,
equal(multiply(inverse(multiply(u,v)),multiply(u,multiply(w,x))),multiply(inverse(multiply(inverse(multiply(w,y)),v)),multiply(inverse(y),x))),
inference(rew,[status(thm),theory(equality)],[6443,276]),
[iquote('0:Rew:6443.0,276.0')] ).
cnf(7420,plain,
equal(multiply(inverse(multiply(u,v)),multiply(u,multiply(inverse(w),multiply(inverse(w),w)))),multiply(inverse(multiply(inverse(multiply(inverse(w),inverse(x))),v)),x)),
inference(rew,[status(thm),theory(equality)],[6443,5172]),
[iquote('0:Rew:6443.0,5172.0')] ).
cnf(7487,plain,
equal(multiply(inverse(multiply(inverse(u),v)),multiply(inverse(w),w)),multiply(inverse(v),u)),
inference(rew,[status(thm),theory(equality)],[6443,5805]),
[iquote('0:Rew:6443.0,5805.0')] ).
cnf(7541,plain,
equal(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(u,v)),w)),multiply(inverse(v),multiply(inverse(v),v))))),x),multiply(inverse(w),multiply(u,x))),
inference(rew,[status(thm),theory(equality)],[6443,292]),
[iquote('0:Rew:6443.0,292.0')] ).
cnf(7744,plain,
equal(multiply(inverse(u),inverse(multiply(inverse(multiply(inverse(multiply(v,w)),x)),multiply(inverse(w),multiply(inverse(w),w))))),multiply(inverse(multiply(v,u)),x)),
inference(rew,[status(thm),theory(equality)],[6443,288]),
[iquote('0:Rew:6443.0,288.0')] ).
cnf(7793,plain,
equal(multiply(inverse(multiply(u,inverse(multiply(inverse(v),multiply(inverse(w),multiply(inverse(w),w)))))),x),multiply(inverse(v),multiply(inverse(multiply(u,w)),x))),
inference(rew,[status(thm),theory(equality)],[6443,219]),
[iquote('0:Rew:6443.0,219.0')] ).
cnf(7854,plain,
equal(multiply(inverse(multiply(u,v)),inverse(multiply(w,multiply(inverse(multiply(u,w)),multiply(inverse(w),w))))),multiply(inverse(v),multiply(inverse(v),v))),
inference(rew,[status(thm),theory(equality)],[6443,3861]),
[iquote('0:Rew:6443.0,3861.0')] ).
cnf(7856,plain,
equal(multiply(inverse(multiply(inverse(inverse(multiply(inverse(u),multiply(inverse(multiply(v,w)),multiply(inverse(w),w))))),multiply(v,w))),multiply(inverse(x),x)),u),
inference(rew,[status(thm),theory(equality)],[6443,5946]),
[iquote('0:Rew:6443.0,5946.0')] ).
cnf(7951,plain,
equal(inverse(multiply(inverse(u),multiply(inverse(v),v))),u),
inference(rew,[status(thm),theory(equality)],[6443,6442]),
[iquote('0:Rew:6443.0,6442.0')] ).
cnf(8083,plain,
equal(multiply(inverse(multiply(inverse(multiply(u,v)),w)),multiply(inverse(v),x)),multiply(inverse(w),multiply(u,x))),
inference(rew,[status(thm),theory(equality)],[6443,6445]),
[iquote('0:Rew:6443.0,6445.0')] ).
cnf(8129,plain,
equal(multiply(u,inverse(multiply(inverse(v),v))),inverse(multiply(inverse(multiply(inverse(w),multiply(inverse(w),w))),multiply(inverse(multiply(u,w)),multiply(inverse(x),x))))),
inference(rew,[status(thm),theory(equality)],[8083,5879]),
[iquote('0:Rew:8083.0,5879.0')] ).
cnf(8179,plain,
equal(multiply(u,inverse(multiply(inverse(v),multiply(inverse(w),multiply(inverse(w),w))))),inverse(multiply(inverse(v),multiply(inverse(multiply(u,w)),multiply(inverse(x),x))))),
inference(rew,[status(thm),theory(equality)],[8083,5918]),
[iquote('0:Rew:8083.0,5918.0')] ).
cnf(8337,plain,
equal(multiply(inverse(u),multiply(inverse(v),multiply(inverse(v),v))),multiply(inverse(multiply(inverse(multiply(inverse(v),inverse(w))),u)),w)),
inference(rew,[status(thm),theory(equality)],[6443,7420]),
[iquote('0:Rew:6443.0,7420.0')] ).
cnf(8339,plain,
equal(multiply(inverse(inverse(multiply(inverse(u),multiply(v,multiply(inverse(w),w))))),x),multiply(inverse(u),multiply(v,x))),
inference(rew,[status(thm),theory(equality)],[8083,7541]),
[iquote('0:Rew:8083.0,7541.0')] ).
cnf(8341,plain,
equal(multiply(inverse(u),inverse(multiply(inverse(v),multiply(w,multiply(inverse(x),x))))),multiply(inverse(multiply(w,u)),v)),
inference(rew,[status(thm),theory(equality)],[8083,7744]),
[iquote('0:Rew:8083.0,7744.0')] ).
cnf(8347,plain,
equal(multiply(u,multiply(inverse(v),v)),u),
inference(rew,[status(thm),theory(equality)],[7951,7856,6443,8339]),
[iquote('0:Rew:7951.0,7856.0,6443.0,7856.0,8339.0,7856.0')] ).
cnf(8348,plain,
equal(multiply(inverse(u),inverse(multiply(inverse(v),w))),multiply(inverse(multiply(w,u)),v)),
inference(rew,[status(thm),theory(equality)],[8347,8341]),
[iquote('0:Rew:8347.0,8341.0')] ).
cnf(8357,plain,
equal(inverse(inverse(u)),u),
inference(rew,[status(thm),theory(equality)],[8347,7951]),
[iquote('0:Rew:8347.0,7951.0')] ).
cnf(8369,plain,
equal(multiply(inverse(multiply(u,inverse(multiply(inverse(v),inverse(w))))),x),multiply(inverse(v),multiply(inverse(multiply(u,w)),x))),
inference(rew,[status(thm),theory(equality)],[8347,7793]),
[iquote('0:Rew:8347.0,7793.0')] ).
cnf(8375,plain,
equal(multiply(inverse(multiply(inverse(multiply(inverse(u),inverse(v))),w)),v),multiply(inverse(w),inverse(u))),
inference(rew,[status(thm),theory(equality)],[8347,8337]),
[iquote('0:Rew:8347.0,8337.0')] ).
cnf(8378,plain,
equal(multiply(inverse(multiply(u,v)),inverse(multiply(w,multiply(inverse(multiply(u,w)),multiply(inverse(w),w))))),inverse(v)),
inference(rew,[status(thm),theory(equality)],[8347,7854]),
[iquote('0:Rew:8347.0,7854.0')] ).
cnf(8380,plain,
equal(inverse(multiply(inverse(u),v)),multiply(inverse(v),u)),
inference(rew,[status(thm),theory(equality)],[8347,7487]),
[iquote('0:Rew:8347.0,7487.0')] ).
cnf(8396,plain,
equal(multiply(inverse(u),multiply(inverse(v),w)),multiply(inverse(multiply(v,u)),w)),
inference(rew,[status(thm),theory(equality)],[8380,8348]),
[iquote('0:Rew:8380.0,8348.0')] ).
cnf(8401,plain,
equal(multiply(inverse(multiply(multiply(u,v),w)),u),multiply(inverse(w),inverse(v))),
inference(rew,[status(thm),theory(equality)],[8357,8375,8380]),
[iquote('0:Rew:8357.0,8375.0,8380.0,8375.0')] ).
cnf(8405,plain,
equal(multiply(inverse(multiply(u,v)),inverse(multiply(w,inverse(multiply(u,w))))),inverse(v)),
inference(rew,[status(thm),theory(equality)],[8347,8378]),
[iquote('0:Rew:8347.0,8378.0')] ).
cnf(8406,plain,
equal(multiply(inverse(multiply(multiply(u,v),w)),x),multiply(inverse(multiply(u,multiply(v,w))),x)),
inference(rew,[status(thm),theory(equality)],[8357,8369,8380,8396]),
[iquote('0:Rew:8357.0,8369.0,8380.0,8369.0,8396.0,8369.0')] ).
cnf(8407,plain,
equal(multiply(inverse(multiply(u,multiply(v,w))),u),multiply(inverse(w),inverse(v))),
inference(rew,[status(thm),theory(equality)],[8406,8401]),
[iquote('0:Rew:8406.0,8401.0')] ).
cnf(8429,plain,
equal(inverse(multiply(u,inverse(multiply(v,u)))),v),
inference(rew,[status(thm),theory(equality)],[8347,8129,8380,8357]),
[iquote('0:Rew:8347.0,8129.0,8380.0,8129.0,8357.0,8129.0,8347.0,8129.0,8347.0,8129.0')] ).
cnf(8430,plain,
equal(multiply(inverse(multiply(u,v)),u),inverse(v)),
inference(rew,[status(thm),theory(equality)],[8429,8405]),
[iquote('0:Rew:8429.0,8405.0')] ).
cnf(8432,plain,
equal(multiply(inverse(u),inverse(v)),inverse(multiply(v,u))),
inference(rew,[status(thm),theory(equality)],[8430,8407]),
[iquote('0:Rew:8430.0,8407.0')] ).
cnf(8434,plain,
equal(multiply(multiply(u,v),w),multiply(u,multiply(v,w))),
inference(rew,[status(thm),theory(equality)],[8357,8179,8432,8347]),
[iquote('0:Rew:8357.0,8179.0,8432.0,8179.0,8347.0,8179.0,8357.0,8179.0,8432.0,8179.0,8347.0,8179.0')] ).
cnf(8435,plain,
$false,
inference(unc,[status(thm)],[8434,2]),
[iquote('0:UnC:8434.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP408-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 08:52:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 33.92/34.15
% 33.92/34.15 SPASS V 3.9
% 33.92/34.15 SPASS beiseite: Proof found.
% 33.92/34.15 % SZS status Theorem
% 33.92/34.15 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.92/34.15 SPASS derived 7647 clauses, backtracked 0 clauses, performed 0 splits and kept 2523 clauses.
% 33.92/34.15 SPASS allocated 115443 KBytes.
% 33.92/34.15 SPASS spent 0:0:33.78 on the problem.
% 33.92/34.15 0:00:00.03 for the input.
% 33.92/34.15 0:00:00.00 for the FLOTTER CNF translation.
% 33.92/34.15 0:00:00.13 for inferences.
% 33.92/34.15 0:00:00.00 for the backtracking.
% 33.92/34.15 0:0:33.59 for the reduction.
% 33.92/34.15
% 33.92/34.15
% 33.92/34.15 Here is a proof with depth 10, length 71 :
% 33.92/34.15 % SZS output start Refutation
% See solution above
% 34.23/34.47 Formulae used in the proof : single_axiom prove_these_axioms_3
% 34.23/34.47
%------------------------------------------------------------------------------