TSTP Solution File: GEO300+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO300+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n013.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 06:24:13 EDT 2022
% Result : Theorem 46.20s 46.42s
% Output : Refutation 46.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 11 unt; 0 nHn; 16 RR)
% Number of literals : 29 ( 0 equ; 18 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
rpoint(vd1201),
file('GEO300+1.p',unknown),
[] ).
cnf(2,axiom,
rpoint(vd1187),
file('GEO300+1.p',unknown),
[] ).
cnf(4,axiom,
rpoint(vd1185),
file('GEO300+1.p',unknown),
[] ).
cnf(16,axiom,
equal(vd1199,vd1185),
file('GEO300+1.p',unknown),
[] ).
cnf(38,axiom,
rR(vd1187,vd1185,vd1201),
file('GEO300+1.p',unknown),
[] ).
cnf(84,axiom,
equal(vf(vd1199,vd1201),vf(vd1185,vd1187)),
file('GEO300+1.p',unknown),
[] ).
cnf(127,axiom,
~ equal(vplus(vf(vd1185,vd1187),vf(vd1187,vd1201)),vf(vd1185,vd1201)),
file('GEO300+1.p',unknown),
[] ).
cnf(213,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ rR(v,w,u)
| equal(vplus(vf(w,v),vf(v,u)),vf(w,u)) ),
file('GEO300+1.p',unknown),
[] ).
cnf(306,plain,
equal(vf(vd1185,vd1187),vf(vd1185,vd1201)),
inference(rew,[status(thm),theory(equality)],[16,84]),
[iquote('0:Rew:16.0,84.0')] ).
cnf(316,plain,
~ equal(vplus(vf(vd1185,vd1201),vf(vd1187,vd1201)),vf(vd1185,vd1201)),
inference(rew,[status(thm),theory(equality)],[306,127]),
[iquote('0:Rew:306.0,127.0')] ).
cnf(2550,plain,
( ~ rpoint(u)
| ~ rpoint(vd1187)
| ~ rpoint(vd1185)
| ~ rR(vd1187,vd1185,u)
| equal(vplus(vf(vd1185,vd1201),vf(vd1187,u)),vf(vd1185,u)) ),
inference(spr,[status(thm),theory(equality)],[306,213]),
[iquote('0:SpR:306.0,213.4')] ).
cnf(2589,plain,
( ~ rpoint(u)
| ~ rR(vd1187,vd1185,u)
| equal(vplus(vf(vd1185,vd1201),vf(vd1187,u)),vf(vd1185,u)) ),
inference(ssi,[status(thm)],[2550,4,2]),
[iquote('0:SSi:2550.2,2550.1,4.0,2.0')] ).
cnf(15150,plain,
( ~ rpoint(vd1201)
| ~ rR(vd1187,vd1185,vd1201)
| ~ equal(vf(vd1185,vd1201),vf(vd1185,vd1201)) ),
inference(spl,[status(thm),theory(equality)],[2589,316]),
[iquote('0:SpL:2589.2,316.0')] ).
cnf(15156,plain,
( ~ rpoint(vd1201)
| ~ rR(vd1187,vd1185,vd1201) ),
inference(obv,[status(thm),theory(equality)],[15150]),
[iquote('0:Obv:15150.2')] ).
cnf(15157,plain,
~ rR(vd1187,vd1185,vd1201),
inference(ssi,[status(thm)],[15156,1]),
[iquote('0:SSi:15156.0,1.0')] ).
cnf(15158,plain,
$false,
inference(mrr,[status(thm)],[15157,38]),
[iquote('0:MRR:15157.0,38.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GEO300+1 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.14 % Command : run_spass %d %s
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 14:26:44 EDT 2022
% 0.14/0.36 % CPUTime :
% 46.20/46.42
% 46.20/46.42 SPASS V 3.9
% 46.20/46.42 SPASS beiseite: Proof found.
% 46.20/46.42 % SZS status Theorem
% 46.20/46.42 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 46.20/46.42 SPASS derived 7556 clauses, backtracked 89 clauses, performed 3 splits and kept 4746 clauses.
% 46.20/46.42 SPASS allocated 120654 KBytes.
% 46.20/46.42 SPASS spent 0:0:45.07 on the problem.
% 46.20/46.42 0:00:00.04 for the input.
% 46.20/46.42 0:00:01.46 for the FLOTTER CNF translation.
% 46.20/46.42 0:00:00.26 for inferences.
% 46.20/46.42 0:00:00.05 for the backtracking.
% 46.20/46.42 0:0:43.03 for the reduction.
% 46.20/46.42
% 46.20/46.42
% 46.20/46.42 Here is a proof with depth 2, length 16 :
% 46.20/46.42 % SZS output start Refutation
% See solution above
% 46.20/46.42 Formulae used in the proof : qe_a40_s3_a40_plural_a40_271_a41__a41__a41_ and_a40_neg_a40_neg_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_plural_a40_comma_conjunct2_a40_268_a41__a41__a41__a41__a41__a41__a41__a44__a32_and_a40_holds_a40_conjunct1_a40_conjunct2_a40_conjunct2_a40_plural_a40_comma_conjunct2_a40_268_a41__a41__a41__a41__a41__a44__a32_1194_a44__a32_0_a41__a44__a32_and_a40_holds_a40_conjunct1_a40_conjunct2_a40_plural_a40_comma_conjunct2_a40_268_a41__a41__a41__a41__a44__a32_1193_a44__a32_0_a41__a44__a32_and_a40_holds_a40_conjunct1_a40_plural_a40_comma_conjunct2_a40_268_a41__a41__a41__a44__a32_1192_a44__a32_0_a41__a44__a32_and_a40_qe_a40_s3_a40_plural_a40_comma_conjunct2_a40_268_a41__a41__a41__a41__a44__a32_and_a40_qe_a40_s2_a40_plural_a40_comma_conjunct2_a40_268_a41__a41__a41__a41__a44__a32_and_a40_qe_a40_s1_a40_plural_a40_comma_conjunct2_a40_268_a41__a41__a41__a41__a44__a32_and_a40_pred_a40_comma_conjunct1_a40_268_a41__a44__a32_9_a41__a44__a32_and_a40_pred_a40_comma_conjunct1_a40_268_a41__a44__a32_8_a41__a44__a32_and_a40_pred_a40_comma_conjunct1_a40_268_a41__a44__a32_7_a41__a44__a32_and_a40_qe_a40_s3_a40_plural_a40_268_a41__a41__a41__a44__a32_and_a40_qe_a40_s2_a40_plural_a40_268_a41__a41__a41__a44__a32_qe_a40_s1_a40_plural_a40_268_a41__a41__a41__a41__a41__a41__a41__a41__a41__a41__a41__a41__a41__a41__a41_ holds_a40_291_a44__a32_1230_a44__a32_0_a41_ holds_a40_330_a44__a32_1259_a44__a32_0_a41_ holds_a40_314_a44__a32_1247_a44__a32_0_a41_ holds_a40_331_a44__a32_1260_a44__a32_0_a41_ qu_a40_cond_a40_axiom_a40_180_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_180_a41__a44__a32_0_a41__a41__a41_
% 46.20/46.42
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