TSTP Solution File: NUM842+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM842+1 : TPTP v8.1.0. Released v4.1.0.
% 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 : Mon Jul 18 14:30:57 EDT 2022
% Result : Theorem 234.48s 234.71s
% Output : Refutation 234.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of clauses : 35 ( 22 unt; 5 nHn; 35 RR)
% Number of literals : 50 ( 0 equ; 20 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( skC0
| geq(vd355,vd356) ),
file('NUM842+1.p',unknown),
[] ).
cnf(2,axiom,
( skC0
| greater(vd353,vd354) ),
file('NUM842+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ skC0
| greater(vd355,vd356) ),
file('NUM842+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ skC0
| geq(vd353,vd354) ),
file('NUM842+1.p',unknown),
[] ).
cnf(7,axiom,
greater(vplus(u,v),u),
file('NUM842+1.p',unknown),
[] ).
cnf(24,axiom,
equal(vplus(u,v),vplus(v,u)),
file('NUM842+1.p',unknown),
[] ).
cnf(25,axiom,
~ greater(vplus(vd353,vd355),vplus(vd354,vd356)),
file('NUM842+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ geq(u,v)
| equal(u,v)
| greater(u,v) ),
file('NUM842+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ greater(u,v)
| greater(vplus(u,w),vplus(v,w)) ),
file('NUM842+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ greater(u,v)
| equal(vplus(v,skf5(v,u)),u) ),
file('NUM842+1.p',unknown),
[] ).
cnf(49,axiom,
equal(vplus(vplus(u,v),w),vplus(u,vplus(v,w))),
file('NUM842+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ greater(u,v)
| ~ greater(w,x)
| greater(vplus(w,u),vplus(x,v)) ),
file('NUM842+1.p',unknown),
[] ).
cnf(58,plain,
( ~ greater(vd355,vd356)
| ~ greater(vd353,vd354) ),
inference(res,[status(thm),theory(equality)],[51,25]),
[iquote('0:Res:51.2,25.0')] ).
cnf(59,plain,
skC0,
inference(spt,[spt(split,[position(s1)])],[2]),
[iquote('1:Spt:2.0')] ).
cnf(60,plain,
geq(vd353,vd354),
inference(mrr,[status(thm)],[6,59]),
[iquote('1:MRR:6.0,59.0')] ).
cnf(61,plain,
greater(vd355,vd356),
inference(mrr,[status(thm)],[5,59]),
[iquote('1:MRR:5.0,59.0')] ).
cnf(62,plain,
~ greater(vd353,vd354),
inference(mrr,[status(thm)],[58,61]),
[iquote('1:MRR:58.0,61.0')] ).
cnf(182,plain,
( equal(vd354,vd353)
| greater(vd353,vd354) ),
inference(res,[status(thm),theory(equality)],[60,36]),
[iquote('1:Res:60.0,36.0')] ).
cnf(185,plain,
equal(vd354,vd353),
inference(mrr,[status(thm)],[182,62]),
[iquote('1:MRR:182.1,62.0')] ).
cnf(248,plain,
greater(vplus(u,vplus(v,w)),vplus(u,v)),
inference(spr,[status(thm),theory(equality)],[49,7]),
[iquote('0:SpR:49.0,7.0')] ).
cnf(328,plain,
( ~ greater(u,v)
| greater(vplus(u,w),vplus(w,v)) ),
inference(spr,[status(thm),theory(equality)],[24,41]),
[iquote('0:SpR:24.0,41.1')] ).
cnf(2065,plain,
( ~ greater(u,v)
| greater(vplus(w,u),vplus(w,v)) ),
inference(spr,[status(thm),theory(equality)],[47,248]),
[iquote('0:SpR:47.1,248.0')] ).
cnf(5319,plain,
~ greater(vplus(vd353,vd355),vplus(vd353,vd356)),
inference(rew,[status(thm),theory(equality)],[185,25]),
[iquote('1:Rew:185.0,25.0')] ).
cnf(105595,plain,
~ greater(vd355,vd356),
inference(res,[status(thm),theory(equality)],[2065,5319]),
[iquote('1:Res:2065.1,5319.0')] ).
cnf(105636,plain,
$false,
inference(mrr,[status(thm)],[105595,61]),
[iquote('1:MRR:105595.0,61.0')] ).
cnf(105658,plain,
~ skC0,
inference(spt,[spt(split,[position(sa)])],[105636,59]),
[iquote('1:Spt:105636.0,2.0,59.0')] ).
cnf(105659,plain,
greater(vd353,vd354),
inference(spt,[spt(split,[position(s2)])],[2]),
[iquote('1:Spt:105636.0,2.1')] ).
cnf(105660,plain,
geq(vd355,vd356),
inference(mrr,[status(thm)],[1,105658]),
[iquote('1:MRR:1.0,105658.0')] ).
cnf(105661,plain,
~ greater(vd355,vd356),
inference(mrr,[status(thm)],[58,105659]),
[iquote('1:MRR:58.1,105659.0')] ).
cnf(106073,plain,
( equal(vd356,vd355)
| greater(vd355,vd356) ),
inference(res,[status(thm),theory(equality)],[105660,36]),
[iquote('1:Res:105660.0,36.0')] ).
cnf(106074,plain,
equal(vd356,vd355),
inference(mrr,[status(thm)],[106073,105661]),
[iquote('1:MRR:106073.1,105661.0')] ).
cnf(106316,plain,
~ greater(vplus(vd353,vd355),vplus(vd354,vd355)),
inference(rew,[status(thm),theory(equality)],[106074,25]),
[iquote('1:Rew:106074.0,25.0')] ).
cnf(106317,plain,
~ greater(vplus(vd353,vd355),vplus(vd355,vd354)),
inference(rew,[status(thm),theory(equality)],[24,106316]),
[iquote('1:Rew:24.0,106316.0')] ).
cnf(106376,plain,
~ greater(vd353,vd354),
inference(res,[status(thm),theory(equality)],[328,106317]),
[iquote('1:Res:328.1,106317.0')] ).
cnf(106385,plain,
$false,
inference(mrr,[status(thm)],[106376,105659]),
[iquote('1:MRR:106376.0,105659.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM842+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n028.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 Jul 5 03:54:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 234.48/234.71
% 234.48/234.71 SPASS V 3.9
% 234.48/234.71 SPASS beiseite: Proof found.
% 234.48/234.71 % SZS status Theorem
% 234.48/234.71 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 234.48/234.71 SPASS derived 81556 clauses, backtracked 2785 clauses, performed 7 splits and kept 30755 clauses.
% 234.48/234.71 SPASS allocated 148566 KBytes.
% 234.48/234.71 SPASS spent 0:3:52.85 on the problem.
% 234.48/234.71 0:00:00.04 for the input.
% 234.48/234.71 0:00:00.03 for the FLOTTER CNF translation.
% 234.48/234.71 0:00:00.81 for inferences.
% 234.48/234.71 0:00:05.50 for the backtracking.
% 234.48/234.71 0:3:45.60 for the reduction.
% 234.48/234.71
% 234.48/234.71
% 234.48/234.71 Here is a proof with depth 3, length 35 :
% 234.48/234.71 % SZS output start Refutation
% See solution above
% 234.48/234.71 Formulae used in the proof : dis_a40_antec_a40_218_a41__a41_ ass_a40_cond_a40_189_a44__a32_0_a41__a44__a32_0_a41_ ass_a40_cond_a40_61_a44__a32_0_a41__a44__a32_0_a41_ holds_a40_conseq_a40_218_a41__a44__a32_361_a44__a32_0_a41_ def_a40_cond_a40_conseq_a40_axiom_a40_3_a41__a41__a44__a32_16_a41__a44__a32_1_a41_ ass_a40_cond_a40_goal_a40_193_a41__a44__a32_0_a41__a44__a32_2_a41_ def_a40_cond_a40_conseq_a40_axiom_a40_3_a41__a41__a44__a32_11_a41__a44__a32_1_a41_ ass_a40_cond_a40_33_a44__a32_0_a41__a44__a32_0_a41_ ass_a40_cond_a40_209_a44__a32_0_a41__a44__a32_0_a41_
% 234.48/234.71
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