TSTP Solution File: NUM848+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM848+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n014.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 14:31:02 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 6 RR)
% Number of literals : 6 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
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cnf(24,axiom,
equal(vplus(u,v),vplus(v,u)),
file('NUM848+1.p',unknown),
[] ).
cnf(39,axiom,
equal(vplus(vmul(u,v),u),vmul(u,vsucc(v))),
file('NUM848+1.p',unknown),
[] ).
cnf(66,axiom,
~ equal(vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)),vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439)))),
file('NUM848+1.p',unknown),
[] ).
cnf(69,plain,
equal(vplus(u,vmul(u,v)),vmul(u,vsucc(v))),
inference(rew,[status(thm),theory(equality)],[24,39]),
[iquote('0:Rew:24.0,39.0')] ).
cnf(77,plain,
~ equal(vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439)))),
inference(rew,[status(thm),theory(equality)],[69,66,24]),
[iquote('0:Rew:69.0,66.0,24.0,66.0')] ).
cnf(78,plain,
$false,
inference(obv,[status(thm),theory(equality)],[77]),
[iquote('0:Obv:77.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM848+1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.14/0.33 % Computer : n014.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Thu Jul 7 10:42:37 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.19/0.45
% 0.19/0.45 SPASS V 3.9
% 0.19/0.45 SPASS beiseite: Proof found.
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 49 clauses.
% 0.19/0.45 SPASS allocated 85297 KBytes.
% 0.19/0.45 SPASS spent 0:00:00.10 on the problem.
% 0.19/0.45 0:00:00.04 for the input.
% 0.19/0.45 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.45 0:00:00.00 for inferences.
% 0.19/0.45 0:00:00.00 for the backtracking.
% 0.19/0.45 0:00:00.00 for the reduction.
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Here is a proof with depth 0, length 6 :
% 0.19/0.45 % SZS output start Refutation
% See solution above
% 0.19/0.45 Formulae used in the proof : ass_a40_cond_a40_61_a44__a32_0_a41__a44__a32_0_a41_ qu_a40_cond_a40_conseq_a40_axiom_a40_3_a41__a41__a44__a32_32_a41__a44__a32_and_a40_holds_a40_definiens_a40_249_a41__a44__a32_399_a44__a32_0_a41__a44__a32_holds_a40_definiens_a40_249_a41__a44__a32_398_a44__a32_0_a41__a41__a41_ holds_a40_286_a44__a32_441_a44__a32_4_a41_
% 0.19/0.45
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