TSTP Solution File: GEO252+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : GEO252+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%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 : 300s
% DateTime : Wed Aug 30 23:22:46 EDT 2023
% Result : Theorem 11.25s 2.44s
% Output : Proof 15.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO252+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.08/0.15 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.16/0.37 % Computer : n013.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Aug 29 20:54:16 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.22/0.63 ________ _____
% 0.22/0.63 ___ __ \_________(_)________________________________
% 0.22/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.22/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.22/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.22/0.63
% 0.22/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.22/0.63 (2023-06-19)
% 0.22/0.63
% 0.22/0.63 (c) Philipp Rümmer, 2009-2023
% 0.22/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.22/0.63 Amanda Stjerna.
% 0.22/0.63 Free software under BSD-3-Clause.
% 0.22/0.63
% 0.22/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.22/0.63
% 0.22/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.22/0.65 Running up to 7 provers in parallel.
% 0.22/0.67 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.22/0.67 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.22/0.67 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.22/0.67 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.22/0.67 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.22/0.67 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.22/0.67 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.20/1.31 Prover 4: Preprocessing ...
% 3.20/1.31 Prover 1: Preprocessing ...
% 3.20/1.37 Prover 5: Preprocessing ...
% 3.20/1.37 Prover 0: Preprocessing ...
% 3.20/1.37 Prover 3: Preprocessing ...
% 3.20/1.37 Prover 2: Preprocessing ...
% 3.20/1.37 Prover 6: Preprocessing ...
% 9.38/2.15 Prover 5: Proving ...
% 9.38/2.19 Prover 3: Constructing countermodel ...
% 9.38/2.21 Prover 1: Constructing countermodel ...
% 10.07/2.25 Prover 6: Constructing countermodel ...
% 10.47/2.32 Prover 2: Proving ...
% 11.25/2.44 Prover 6: proved (1745ms)
% 11.25/2.44
% 11.25/2.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.25/2.44
% 11.25/2.44 Prover 5: proved (1774ms)
% 11.25/2.45
% 11.25/2.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.25/2.45
% 11.52/2.45 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 11.52/2.45 Prover 3: stopped
% 11.52/2.46 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 11.52/2.46 Prover 2: stopped
% 11.52/2.46 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 11.52/2.49 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 12.04/2.54 Prover 1: Found proof (size 5)
% 12.04/2.54 Prover 1: proved (1881ms)
% 12.04/2.57 Prover 7: Preprocessing ...
% 12.35/2.61 Prover 8: Preprocessing ...
% 12.35/2.61 Prover 11: Preprocessing ...
% 12.35/2.64 Prover 10: Preprocessing ...
% 12.35/2.71 Prover 10: stopped
% 12.35/2.71 Prover 7: stopped
% 13.86/2.88 Prover 4: Constructing countermodel ...
% 14.17/2.91 Prover 8: Warning: ignoring some quantifiers
% 14.17/2.91 Prover 4: stopped
% 14.17/2.92 Prover 11: stopped
% 14.17/2.93 Prover 8: Constructing countermodel ...
% 14.17/2.95 Prover 8: stopped
% 14.42/2.99 Prover 0: Proving ...
% 14.42/3.01 Prover 0: stopped
% 14.42/3.01
% 14.42/3.01 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.42/3.01
% 14.42/3.01 % SZS output start Proof for theBenchmark
% 14.42/3.02 Assumptions after simplification:
% 14.42/3.02 ---------------------------------
% 14.42/3.02
% 14.42/3.02 (con)
% 14.85/3.07 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: any] : ? [v5:
% 14.85/3.07 $i] : ? [v6: any] : (left_convergent_lines(v5, v2) = v6 &
% 14.85/3.07 line_connecting(v0, v1) = v5 & distinct_points(v0, v1) = v4 &
% 14.85/3.07 reverse_line(v2) = v3 & left_apart_point(v1, v3) = 0 & left_apart_point(v0,
% 14.85/3.07 v2) = 0 & $i(v5) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v6 = 0) | ~
% 14.85/3.07 (v4 = 0)))
% 14.85/3.07
% 14.85/3.07 (oag10)
% 14.85/3.07 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (reverse_line(v1) = v2) | ~
% 14.85/3.07 (left_apart_point(v0, v2) = 0) | ~ $i(v1) | ~ $i(v0)) & ! [v0: $i] : !
% 14.85/3.07 [v1: $i] : ( ~ (left_apart_point(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0))
% 14.85/3.07
% 14.85/3.07 Further assumptions not needed in the proof:
% 14.85/3.07 --------------------------------------------
% 14.85/3.07 apt_def, bet_def, bf_def, con_def, div_def, oag1, oag11, oag2, oag3, oag4, oag5,
% 14.85/3.07 oag6, oag7, oag8, oag9, oagco1, oagco10, oagco2, oagco3, oagco4, oagco5, oagco6,
% 14.85/3.07 oagco7, oagco8, oagco9, oagsub1, oagsub2, oagsub3, oaguc1, oaguc2
% 14.85/3.07
% 14.85/3.07 Those formulas are unsatisfiable:
% 14.85/3.07 ---------------------------------
% 14.85/3.07
% 14.85/3.07 Begin of proof
% 14.85/3.07 |
% 14.85/3.08 | ALPHA: (oag10) implies:
% 14.85/3.08 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (reverse_line(v1) = v2) |
% 14.85/3.08 | ~ (left_apart_point(v0, v2) = 0) | ~ $i(v1) | ~ $i(v0))
% 14.85/3.08 |
% 14.85/3.08 | DELTA: instantiating (con) with fresh symbols all_34_0, all_34_1, all_34_2,
% 14.85/3.08 | all_34_3, all_34_4, all_34_5, all_34_6 gives:
% 14.85/3.08 | (2) left_convergent_lines(all_34_1, all_34_4) = all_34_0 &
% 14.85/3.08 | line_connecting(all_34_6, all_34_5) = all_34_1 &
% 14.85/3.08 | distinct_points(all_34_6, all_34_5) = all_34_2 & reverse_line(all_34_4)
% 14.85/3.08 | = all_34_3 & left_apart_point(all_34_5, all_34_3) = 0 &
% 14.85/3.09 | left_apart_point(all_34_6, all_34_4) = 0 & $i(all_34_1) & $i(all_34_3)
% 14.85/3.09 | & $i(all_34_4) & $i(all_34_5) & $i(all_34_6) & ( ~ (all_34_0 = 0) | ~
% 14.85/3.09 | (all_34_2 = 0))
% 14.85/3.09 |
% 14.85/3.09 | ALPHA: (2) implies:
% 15.08/3.09 | (3) $i(all_34_5)
% 15.08/3.09 | (4) $i(all_34_4)
% 15.08/3.09 | (5) left_apart_point(all_34_5, all_34_3) = 0
% 15.08/3.09 | (6) reverse_line(all_34_4) = all_34_3
% 15.08/3.09 |
% 15.08/3.09 | GROUND_INST: instantiating (1) with all_34_5, all_34_4, all_34_3, simplifying
% 15.08/3.09 | with (3), (4), (5), (6) gives:
% 15.08/3.09 | (7) $false
% 15.08/3.09 |
% 15.08/3.09 | CLOSE: (7) is inconsistent.
% 15.08/3.09 |
% 15.08/3.09 End of proof
% 15.08/3.09 % SZS output end Proof for theBenchmark
% 15.08/3.09
% 15.08/3.09 2458ms
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