TSTP Solution File: GEG024_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEG024_1 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 : 300s
% DateTime : Fri May 3 02:15:56 EDT 2024
% Result : Theorem 3.63s 1.13s
% Output : CNFRefutation 3.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEG024_1 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n031.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 : 300
% 0.12/0.33 % DateTime : Thu May 2 23:10:46 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.44 Running TFA theorem proving
% 0.18/0.44 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa --heuristic_context casc_unsat /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.63/1.13 % SZS status Started for theBenchmark.p
% 3.63/1.13 % SZS status Theorem for theBenchmark.p
% 3.63/1.13
% 3.63/1.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.63/1.13
% 3.63/1.13 ------ iProver source info
% 3.63/1.13
% 3.63/1.13 git: date: 2024-05-02 19:28:25 +0000
% 3.63/1.13 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.63/1.13 git: non_committed_changes: false
% 3.63/1.13
% 3.63/1.13 ------ Parsing...
% 3.63/1.13 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.63/1.13
% 3.63/1.13 ------ Preprocessing... sup_sim: 8 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.63/1.13
% 3.63/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.63/1.13
% 3.63/1.13 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.63/1.13 ------ Proving...
% 3.63/1.13 ------ Problem Properties
% 3.63/1.13
% 3.63/1.13
% 3.63/1.13 clauses 55
% 3.63/1.13 conjectures 16
% 3.63/1.13 EPR 24
% 3.63/1.13 Horn 52
% 3.63/1.13 unary 50
% 3.63/1.13 binary 3
% 3.63/1.13 lits 62
% 3.63/1.13 lits eq 28
% 3.63/1.13 fd_pure 0
% 3.63/1.13 fd_pseudo 0
% 3.63/1.13 fd_cond 0
% 3.63/1.13 fd_pseudo_cond 1
% 3.63/1.13 AC symbols 1
% 3.63/1.13
% 3.63/1.13 ------ Input Options Time Limit: Unbounded
% 3.63/1.13
% 3.63/1.13
% 3.63/1.13 ------
% 3.63/1.13 Current options:
% 3.63/1.13 ------
% 3.63/1.13
% 3.63/1.13
% 3.63/1.13
% 3.63/1.13
% 3.63/1.13 ------ Proving...
% 3.63/1.13
% 3.63/1.13
% 3.63/1.13 % SZS status Theorem for theBenchmark.p
% 3.63/1.13
% 3.63/1.13 % SZS output start CNFRefutation for theBenchmark.p
% 3.63/1.13
% 3.63/1.13 tff(f1,conjecture,(
% 3.63/1.13 (inh(kiel) = 238281 & inh(saarbruecken) = 175810 & inh(frankfurt) = 671927 & inh(cologne) = 998105 & inh(munich) = 1330440 & inh(hamburg) = 1774224 & inh(berlin) = 3442675 & 360 = d(munich,saarbruecken) & d(munich,frankfurt) = 300 & d(hamburg,berlin) = 250 & d(hamburg,kiel) = 90 & d(cologne,frankfurt) = 150 & d(hamburg,frankfurt) = 390 & d(hamburg,cologne) = 360 & d(saarbruecken,cologne) = 190 & d(saarbruecken,frankfurt) = 160 & d(berlin,frankfurt) = 420 & d(berlin,cologne) = 480 & d(berlin,munich) = 510 & ! [X0 : city] : d(X0,X0) = 0 & ! [X0 : city,X1 : city,X2 : city] : $lesseq(d(X0,X2),$sum(d(X0,X1),d(X1,X2))) & ! [X0 : city,X1 : city] : d(X0,X1) = d(X1,X0)) => ? [X0 : city] : ($lesseq(1000000,inh(X0)) & $lesseq(d(kiel,X0),100))),
% 3.63/1.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exists_big_city_distance_1)).
% 3.63/1.13
% 3.63/1.13 tff(f2,negated_conjecture,(
% 3.63/1.13 ~((inh(kiel) = 238281 & inh(saarbruecken) = 175810 & inh(frankfurt) = 671927 & inh(cologne) = 998105 & inh(munich) = 1330440 & inh(hamburg) = 1774224 & inh(berlin) = 3442675 & 360 = d(munich,saarbruecken) & d(munich,frankfurt) = 300 & d(hamburg,berlin) = 250 & d(hamburg,kiel) = 90 & d(cologne,frankfurt) = 150 & d(hamburg,frankfurt) = 390 & d(hamburg,cologne) = 360 & d(saarbruecken,cologne) = 190 & d(saarbruecken,frankfurt) = 160 & d(berlin,frankfurt) = 420 & d(berlin,cologne) = 480 & d(berlin,munich) = 510 & ! [X0 : city] : d(X0,X0) = 0 & ! [X0 : city,X1 : city,X2 : city] : $lesseq(d(X0,X2),$sum(d(X0,X1),d(X1,X2))) & ! [X0 : city,X1 : city] : d(X0,X1) = d(X1,X0)) => ? [X0 : city] : ($lesseq(1000000,inh(X0)) & $lesseq(d(kiel,X0),100)))),
% 3.63/1.13 inference(negated_conjecture,[],[f1])).
% 3.63/1.13
% 3.63/1.13 tff(f3,plain,(
% 3.63/1.13 ~((inh(kiel) = 238281 & inh(saarbruecken) = 175810 & inh(frankfurt) = 671927 & inh(cologne) = 998105 & inh(munich) = 1330440 & inh(hamburg) = 1774224 & inh(berlin) = 3442675 & 360 = d(munich,saarbruecken) & d(munich,frankfurt) = 300 & d(hamburg,berlin) = 250 & d(hamburg,kiel) = 90 & d(cologne,frankfurt) = 150 & d(hamburg,frankfurt) = 390 & d(hamburg,cologne) = 360 & d(saarbruecken,cologne) = 190 & d(saarbruecken,frankfurt) = 160 & d(berlin,frankfurt) = 420 & d(berlin,cologne) = 480 & d(berlin,munich) = 510 & ! [X0 : city] : d(X0,X0) = 0 & ! [X0 : city,X1 : city,X2 : city] : ~$less($sum(d(X0,X1),d(X1,X2)),d(X0,X2)) & ! [X0 : city,X1 : city] : d(X0,X1) = d(X1,X0)) => ? [X0 : city] : (~$less(inh(X0),1000000) & ~$less(100,d(kiel,X0))))),
% 3.63/1.13 inference(theory_normalization,[],[f2])).
% 3.63/1.13
% 3.63/1.13 tff(f16,plain,(
% 3.63/1.13 ~((inh(kiel) = 238281 & inh(saarbruecken) = 175810 & inh(frankfurt) = 671927 & inh(cologne) = 998105 & inh(munich) = 1330440 & inh(hamburg) = 1774224 & inh(berlin) = 3442675 & 360 = d(munich,saarbruecken) & d(munich,frankfurt) = 300 & d(hamburg,berlin) = 250 & d(hamburg,kiel) = 90 & d(cologne,frankfurt) = 150 & d(hamburg,frankfurt) = 390 & d(hamburg,cologne) = 360 & d(saarbruecken,cologne) = 190 & d(saarbruecken,frankfurt) = 160 & d(berlin,frankfurt) = 420 & d(berlin,cologne) = 480 & d(berlin,munich) = 510 & ! [X0 : city] : d(X0,X0) = 0 & ! [X1 : city,X2 : city,X3 : city] : ~$less($sum(d(X1,X2),d(X2,X3)),d(X1,X3)) & ! [X4 : city,X5 : city] : d(X4,X5) = d(X5,X4)) => ? [X6 : city] : (~$less(inh(X6),1000000) & ~$less(100,d(kiel,X6))))),
% 3.63/1.13 inference(rectify,[],[f3])).
% 3.63/1.13
% 3.63/1.13 tff(f17,plain,(
% 3.63/1.13 ! [X6 : city] : ($less(inh(X6),1000000) | $less(100,d(kiel,X6))) & (inh(kiel) = 238281 & inh(saarbruecken) = 175810 & inh(frankfurt) = 671927 & inh(cologne) = 998105 & inh(munich) = 1330440 & inh(hamburg) = 1774224 & inh(berlin) = 3442675 & 360 = d(munich,saarbruecken) & d(munich,frankfurt) = 300 & d(hamburg,berlin) = 250 & d(hamburg,kiel) = 90 & d(cologne,frankfurt) = 150 & d(hamburg,frankfurt) = 390 & d(hamburg,cologne) = 360 & d(saarbruecken,cologne) = 190 & d(saarbruecken,frankfurt) = 160 & d(berlin,frankfurt) = 420 & d(berlin,cologne) = 480 & d(berlin,munich) = 510 & ! [X0 : city] : d(X0,X0) = 0 & ! [X1 : city,X2 : city,X3 : city] : ~$less($sum(d(X1,X2),d(X2,X3)),d(X1,X3)) & ! [X4 : city,X5 : city] : d(X4,X5) = d(X5,X4))),
% 3.63/1.13 inference(ennf_transformation,[],[f16])).
% 3.63/1.13
% 3.63/1.13 tff(f18,plain,(
% 3.63/1.13 ! [X6 : city] : ($less(inh(X6),1000000) | $less(100,d(kiel,X6))) & inh(kiel) = 238281 & inh(saarbruecken) = 175810 & inh(frankfurt) = 671927 & inh(cologne) = 998105 & inh(munich) = 1330440 & inh(hamburg) = 1774224 & inh(berlin) = 3442675 & 360 = d(munich,saarbruecken) & d(munich,frankfurt) = 300 & d(hamburg,berlin) = 250 & d(hamburg,kiel) = 90 & d(cologne,frankfurt) = 150 & d(hamburg,frankfurt) = 390 & d(hamburg,cologne) = 360 & d(saarbruecken,cologne) = 190 & d(saarbruecken,frankfurt) = 160 & d(berlin,frankfurt) = 420 & d(berlin,cologne) = 480 & d(berlin,munich) = 510 & ! [X0 : city] : d(X0,X0) = 0 & ! [X1 : city,X2 : city,X3 : city] : ~$less($sum(d(X1,X2),d(X2,X3)),d(X1,X3)) & ! [X4 : city,X5 : city] : d(X4,X5) = d(X5,X4)),
% 3.63/1.13 inference(flattening,[],[f17])).
% 3.63/1.13
% 3.63/1.13 tff(f19,plain,(
% 3.63/1.13 ! [X0 : city] : ($less(inh(X0),1000000) | $less(100,d(kiel,X0))) & inh(kiel) = 238281 & inh(saarbruecken) = 175810 & inh(frankfurt) = 671927 & inh(cologne) = 998105 & inh(munich) = 1330440 & inh(hamburg) = 1774224 & inh(berlin) = 3442675 & 360 = d(munich,saarbruecken) & d(munich,frankfurt) = 300 & d(hamburg,berlin) = 250 & d(hamburg,kiel) = 90 & d(cologne,frankfurt) = 150 & d(hamburg,frankfurt) = 390 & d(hamburg,cologne) = 360 & d(saarbruecken,cologne) = 190 & d(saarbruecken,frankfurt) = 160 & d(berlin,frankfurt) = 420 & d(berlin,cologne) = 480 & d(berlin,munich) = 510 & ! [X1 : city] : 0 = d(X1,X1) & ! [X2 : city,X3 : city,X4 : city] : ~$less($sum(d(X2,X3),d(X3,X4)),d(X2,X4)) & ! [X5 : city,X6 : city] : d(X5,X6) = d(X6,X5)),
% 3.63/1.13 inference(rectify,[],[f18])).
% 3.63/1.13
% 3.63/1.13 tff(f20,plain,(
% 3.63/1.13 ( ! [X6 : city,X5 : city] : (d(X5,X6) = d(X6,X5)) )),
% 3.63/1.13 inference(cnf_transformation,[],[f19])).
% 3.63/1.13
% 3.63/1.13 tff(f31,plain,(
% 3.63/1.13 d(hamburg,kiel) = 90),
% 3.63/1.13 inference(cnf_transformation,[],[f19])).
% 3.63/1.13
% 3.63/1.13 tff(f36,plain,(
% 3.63/1.13 inh(hamburg) = 1774224),
% 3.63/1.13 inference(cnf_transformation,[],[f19])).
% 3.63/1.13
% 3.63/1.13 tff(f42,plain,(
% 3.63/1.13 ( ! [X0 : city] : ($less(inh(X0),1000000) | $less(100,d(kiel,X0))) )),
% 3.63/1.13 inference(cnf_transformation,[],[f19])).
% 3.63/1.13
% 3.63/1.13 cnf(c_61,negated_conjecture,
% 3.63/1.13 ($less_int(100,d(kiel,X0_13))|$less_int(inh(X0_13),1000000)),
% 3.63/1.13 inference(cnf_transformation,[],[f42])).
% 3.63/1.13
% 3.63/1.13 cnf(c_67,negated_conjecture,
% 3.63/1.13 (inh(hamburg) = 1774224),
% 3.63/1.13 inference(cnf_transformation,[],[f36])).
% 3.63/1.13
% 3.63/1.13 cnf(c_72,negated_conjecture,
% 3.63/1.13 (d(hamburg,kiel) = 90),
% 3.63/1.13 inference(cnf_transformation,[],[f31])).
% 3.63/1.13
% 3.63/1.13 cnf(c_83,negated_conjecture,
% 3.63/1.13 (d(X0_13,X1_13) = d(X1_13,X0_13)),
% 3.63/1.13 inference(cnf_transformation,[],[f20])).
% 3.63/1.13
% 3.63/1.13 cnf(c_1065,plain,
% 3.63/1.13 ($less_int(100,d(X0_13,kiel))|$less_int(inh(X0_13),1000000)),
% 3.63/1.13 inference(superposition,[status(thm)],[c_83,c_61])).
% 3.63/1.13
% 3.63/1.13 cnf(c_1174,plain,
% 3.63/1.13 ($less_int(inh(hamburg),1000000)|$less_int(100,90)),
% 3.63/1.13 inference(superposition,[status(thm)],[c_72,c_1065])).
% 3.63/1.13
% 3.63/1.13 cnf(c_1179,plain,
% 3.63/1.13 ($less_int(100,90)|$less_int(1774224,1000000)),
% 3.63/1.13 inference(light_normalisation,[status(thm)],[c_1174,c_67])).
% 3.63/1.13
% 3.63/1.13 cnf(c_1182,plain,
% 3.63/1.13 ($false),
% 3.63/1.13 inference(smt_theory_normalisation,[status(thm)],[c_1179])).
% 3.63/1.13
% 3.63/1.13
% 3.63/1.13 % SZS output end CNFRefutation for theBenchmark.p
% 3.63/1.13
% 3.63/1.13
%------------------------------------------------------------------------------