TSTP Solution File: GEG021_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEG021_1 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 2.16s 1.17s
% Output : CNFRefutation 2.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEG021_1 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 2 22:52:39 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.47 Running TFA theorem proving
% 0.21/0.47 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
% 2.16/1.17 % SZS status Started for theBenchmark.p
% 2.16/1.17 % SZS status Theorem for theBenchmark.p
% 2.16/1.17
% 2.16/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.16/1.17
% 2.16/1.17 ------ iProver source info
% 2.16/1.17
% 2.16/1.17 git: date: 2024-05-02 19:28:25 +0000
% 2.16/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.16/1.17 git: non_committed_changes: false
% 2.16/1.17
% 2.16/1.17 ------ Parsing...
% 2.16/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.16/1.17
% 2.16/1.17 ------ Preprocessing... sup_sim: 10 sf_s rm: 1 0s sf_e pe_s pe_e
% 2.16/1.17
% 2.16/1.17 % SZS status Theorem for theBenchmark.p
% 2.16/1.17
% 2.16/1.17 % SZS output start CNFRefutation for theBenchmark.p
% 2.16/1.17
% 2.16/1.17 tff(f1,conjecture,(
% 2.16/1.17 (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)) => $lesseq(d(cologne,berlin),500)),
% 2.16/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',city_distance_1)).
% 2.16/1.18
% 2.16/1.18 tff(f2,negated_conjecture,(
% 2.16/1.18 ~((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)) => $lesseq(d(cologne,berlin),500))),
% 2.16/1.18 inference(negated_conjecture,[],[f1])).
% 2.16/1.18
% 2.16/1.18 tff(f3,plain,(
% 2.16/1.18 ~((360 = d(munich,saarbruecken) & d(munich,frankfurt) = 300 & d(hamburg,berlin) = 250 & d(hamburg,kiel) = 90 & d(cologne,frankfurt) = 150 & d(hamburg,frankfurt) = 390 & d(hamburg,cologne) = 360 & d(saarbruecken,cologne) = 190 & d(saarbruecken,frankfurt) = 160 & d(berlin,frankfurt) = 420 & d(berlin,cologne) = 480 & d(berlin,munich) = 510 & ! [X0 : city] : d(X0,X0) = 0 & ! [X0 : city,X1 : city,X2 : city] : ~$less($sum(d(X0,X1),d(X1,X2)),d(X0,X2)) & ! [X0 : city,X1 : city] : d(X0,X1) = d(X1,X0)) => ~$less(500,d(cologne,berlin)))),
% 2.16/1.18 inference(theory_normalization,[],[f2])).
% 2.16/1.18
% 2.16/1.18 tff(f16,plain,(
% 2.16/1.18 ~((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)) => ~$less(500,d(cologne,berlin)))),
% 2.16/1.18 inference(rectify,[],[f3])).
% 2.16/1.18
% 2.16/1.18 tff(f17,plain,(
% 2.16/1.18 $less(500,d(cologne,berlin)) & (360 = d(munich,saarbruecken) & d(munich,frankfurt) = 300 & d(hamburg,berlin) = 250 & d(hamburg,kiel) = 90 & d(cologne,frankfurt) = 150 & d(hamburg,frankfurt) = 390 & d(hamburg,cologne) = 360 & d(saarbruecken,cologne) = 190 & d(saarbruecken,frankfurt) = 160 & d(berlin,frankfurt) = 420 & d(berlin,cologne) = 480 & d(berlin,munich) = 510 & ! [X0 : city] : d(X0,X0) = 0 & ! [X1 : city,X2 : city,X3 : city] : ~$less($sum(d(X1,X2),d(X2,X3)),d(X1,X3)) & ! [X4 : city,X5 : city] : d(X4,X5) = d(X5,X4))),
% 2.16/1.18 inference(ennf_transformation,[],[f16])).
% 2.16/1.18
% 2.16/1.18 tff(f18,plain,(
% 2.16/1.18 $less(500,d(cologne,berlin)) & 360 = d(munich,saarbruecken) & d(munich,frankfurt) = 300 & d(hamburg,berlin) = 250 & d(hamburg,kiel) = 90 & d(cologne,frankfurt) = 150 & d(hamburg,frankfurt) = 390 & d(hamburg,cologne) = 360 & d(saarbruecken,cologne) = 190 & d(saarbruecken,frankfurt) = 160 & d(berlin,frankfurt) = 420 & d(berlin,cologne) = 480 & d(berlin,munich) = 510 & ! [X0 : city] : d(X0,X0) = 0 & ! [X1 : city,X2 : city,X3 : city] : ~$less($sum(d(X1,X2),d(X2,X3)),d(X1,X3)) & ! [X4 : city,X5 : city] : d(X4,X5) = d(X5,X4)),
% 2.16/1.18 inference(flattening,[],[f17])).
% 2.16/1.18
% 2.16/1.18 tff(f19,plain,(
% 2.16/1.18 ( ! [X4 : city,X5 : city] : (d(X4,X5) = d(X5,X4)) )),
% 2.16/1.18 inference(cnf_transformation,[],[f18])).
% 2.16/1.18
% 2.16/1.18 tff(f23,plain,(
% 2.16/1.18 d(berlin,cologne) = 480),
% 2.16/1.18 inference(cnf_transformation,[],[f18])).
% 2.16/1.18
% 2.16/1.18 tff(f34,plain,(
% 2.16/1.18 $less(500,d(cologne,berlin))),
% 2.16/1.18 inference(cnf_transformation,[],[f18])).
% 2.16/1.18
% 2.16/1.18 cnf(c_61,negated_conjecture,
% 2.16/1.18 ($less_int(500,d(cologne,berlin))),
% 2.16/1.18 inference(cnf_transformation,[],[f34])).
% 2.16/1.18
% 2.16/1.18 cnf(c_72,negated_conjecture,
% 2.16/1.18 (d(berlin,cologne) = 480),
% 2.16/1.18 inference(cnf_transformation,[],[f23])).
% 2.16/1.18
% 2.16/1.18 cnf(c_76,negated_conjecture,
% 2.16/1.18 (d(X0_13,X1_13) = d(X1_13,X0_13)),
% 2.16/1.18 inference(cnf_transformation,[],[f19])).
% 2.16/1.18
% 2.16/1.18 cnf(c_254,plain,
% 2.16/1.18 ($less_int(500,d(berlin,cologne))),
% 2.16/1.18 inference(demodulation,[status(thm)],[c_61,c_76])).
% 2.16/1.18
% 2.16/1.18 cnf(c_262,plain,
% 2.16/1.18 ($less_int(500,480)),
% 2.16/1.18 inference(light_normalisation,[status(thm)],[c_254,c_72])).
% 2.16/1.18
% 2.16/1.18 cnf(c_431,plain,
% 2.16/1.18 ($false),
% 2.16/1.18 inference(smt_theory_normalisation,[status(thm)],[c_262])).
% 2.16/1.18
% 2.16/1.18
% 2.16/1.18 % SZS output end CNFRefutation for theBenchmark.p
% 2.16/1.18
% 2.16/1.18
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