TSTP Solution File: SEU166+2 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SEU166+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n024.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 : Thu Aug 31 17:42:58 EDT 2023
% Result : Theorem 16.42s 2.98s
% Output : Proof 17.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU166+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 01:20:39 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.52/0.66 ________ _____
% 0.52/0.66 ___ __ \_________(_)________________________________
% 0.52/0.66 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.52/0.66 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.52/0.66 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.52/0.66
% 0.52/0.66 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.52/0.66 (2023-06-19)
% 0.52/0.66
% 0.52/0.66 (c) Philipp Rümmer, 2009-2023
% 0.52/0.66 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.52/0.66 Amanda Stjerna.
% 0.52/0.66 Free software under BSD-3-Clause.
% 0.52/0.66
% 0.52/0.66 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.52/0.66
% 0.52/0.66 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.52/0.67 Running up to 7 provers in parallel.
% 0.52/0.68 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.52/0.68 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.52/0.68 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.77/0.68 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.77/0.68 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.77/0.68 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.77/0.68 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.29/1.26 Prover 4: Preprocessing ...
% 3.29/1.26 Prover 1: Preprocessing ...
% 3.92/1.30 Prover 2: Preprocessing ...
% 3.92/1.30 Prover 6: Preprocessing ...
% 3.92/1.30 Prover 3: Preprocessing ...
% 3.92/1.30 Prover 5: Preprocessing ...
% 3.92/1.30 Prover 0: Preprocessing ...
% 9.57/2.12 Prover 1: Warning: ignoring some quantifiers
% 10.34/2.18 Prover 5: Proving ...
% 10.68/2.20 Prover 1: Constructing countermodel ...
% 11.50/2.34 Prover 3: Warning: ignoring some quantifiers
% 11.50/2.35 Prover 4: Warning: ignoring some quantifiers
% 11.50/2.36 Prover 3: Constructing countermodel ...
% 11.50/2.37 Prover 6: Proving ...
% 12.27/2.50 Prover 4: Constructing countermodel ...
% 13.07/2.51 Prover 2: Proving ...
% 13.07/2.52 Prover 0: Proving ...
% 16.42/2.95 Prover 1: Found proof (size 66)
% 16.42/2.98 Prover 1: proved (2278ms)
% 16.42/2.98 Prover 4: stopped
% 16.42/2.98 Prover 5: stopped
% 16.42/2.98 Prover 6: stopped
% 16.42/2.98 Prover 0: stopped
% 16.42/2.98 Prover 3: stopped
% 16.42/2.98 Prover 2: stopped
% 16.42/2.98
% 16.42/2.98 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.42/2.98
% 16.72/2.99 % SZS output start Proof for theBenchmark
% 16.72/3.00 Assumptions after simplification:
% 16.72/3.00 ---------------------------------
% 16.72/3.00
% 16.72/3.00 (d2_zfmisc_1)
% 16.72/3.03 ? [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 16.72/3.03 (cartesian_product2(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 16.72/3.03 [v4: $i] : ? [v5: any] : (in(v4, v0) = v5 & $i(v4) & ( ~ (v5 = 0) | ! [v6:
% 16.72/3.03 $i] : ! [v7: $i] : ( ~ (ordered_pair(v6, v7) = v4) | ~ $i(v7) | ~
% 16.72/3.03 $i(v6) | ? [v8: any] : ? [v9: any] : (in(v7, v2) = v9 & in(v6, v1) =
% 16.72/3.03 v8 & ( ~ (v9 = 0) | ~ (v8 = 0))))) & (v5 = 0 | ? [v6: $i] : ?
% 16.72/3.03 [v7: $i] : (ordered_pair(v6, v7) = v4 & in(v7, v2) = 0 & in(v6, v1) = 0
% 16.72/3.03 & $i(v7) & $i(v6))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 16.72/3.03 (cartesian_product2(v0, v1) = v2) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ( !
% 16.72/3.03 [v3: $i] : ! [v4: int] : (v4 = 0 | ~ (in(v3, v2) = v4) | ~ $i(v3) | !
% 16.72/3.03 [v5: $i] : ! [v6: $i] : ( ~ (ordered_pair(v5, v6) = v3) | ~ $i(v6) |
% 16.72/3.03 ~ $i(v5) | ? [v7: any] : ? [v8: any] : (in(v6, v1) = v8 & in(v5, v0)
% 16.72/3.03 = v7 & ( ~ (v8 = 0) | ~ (v7 = 0))))) & ! [v3: $i] : ( ~ (in(v3,
% 16.72/3.03 v2) = 0) | ~ $i(v3) | ? [v4: $i] : ? [v5: $i] : (ordered_pair(v4,
% 16.72/3.03 v5) = v3 & in(v5, v1) = 0 & in(v4, v0) = 0 & $i(v5) & $i(v4)))))
% 16.72/3.03
% 16.72/3.03 (d3_tarski)
% 16.72/3.04 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (subset(v0, v1) = v2)
% 16.72/3.04 | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) & in(v3,
% 16.72/3.04 v1) = v4 & in(v3, v0) = 0 & $i(v3))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 16.72/3.04 (subset(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ! [v2: $i] : ( ~ (in(v2, v0)
% 16.72/3.04 = 0) | ~ $i(v2) | in(v2, v1) = 0))
% 16.72/3.04
% 16.72/3.04 (t118_zfmisc_1)
% 16.72/3.04 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 16.72/3.04 any] : ? [v6: $i] : ? [v7: $i] : ? [v8: any] : (cartesian_product2(v2,
% 16.72/3.04 v1) = v7 & cartesian_product2(v2, v0) = v6 & cartesian_product2(v1, v2) =
% 16.72/3.04 v4 & cartesian_product2(v0, v2) = v3 & subset(v6, v7) = v8 & subset(v3, v4)
% 16.72/3.04 = v5 & subset(v0, v1) = 0 & $i(v7) & $i(v6) & $i(v4) & $i(v3) & $i(v2) &
% 16.72/3.04 $i(v1) & $i(v0) & ( ~ (v8 = 0) | ~ (v5 = 0)))
% 16.72/3.04
% 16.72/3.04 (function-axioms)
% 16.72/3.05 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 16.72/3.05 [v3: $i] : (v1 = v0 | ~ (disjoint(v3, v2) = v1) | ~ (disjoint(v3, v2) = v0))
% 16.72/3.05 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 16.72/3.05 (set_difference(v3, v2) = v1) | ~ (set_difference(v3, v2) = v0)) & ! [v0:
% 16.72/3.05 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 16.72/3.05 (cartesian_product2(v3, v2) = v1) | ~ (cartesian_product2(v3, v2) = v0)) &
% 16.72/3.05 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 16.72/3.05 (ordered_pair(v3, v2) = v1) | ~ (ordered_pair(v3, v2) = v0)) & ! [v0:
% 16.72/3.05 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 16.72/3.05 : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0:
% 16.72/3.05 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 16.72/3.05 (set_intersection2(v3, v2) = v1) | ~ (set_intersection2(v3, v2) = v0)) & !
% 16.72/3.05 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 16.72/3.05 (set_union2(v3, v2) = v1) | ~ (set_union2(v3, v2) = v0)) & ! [v0: $i] : !
% 16.72/3.05 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (unordered_pair(v3, v2) =
% 16.72/3.05 v1) | ~ (unordered_pair(v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 16.72/3.05 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 16.72/3.05 (proper_subset(v3, v2) = v1) | ~ (proper_subset(v3, v2) = v0)) & ! [v0:
% 16.72/3.05 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 16.72/3.05 : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0)) & ! [v0:
% 16.72/3.05 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 16.72/3.05 ~ (empty(v2) = v1) | ~ (empty(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 16.72/3.05 [v2: $i] : (v1 = v0 | ~ (union(v2) = v1) | ~ (union(v2) = v0)) & ! [v0: $i]
% 16.72/3.05 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (powerset(v2) = v1) | ~
% 16.72/3.05 (powerset(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 |
% 16.72/3.05 ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0))
% 16.72/3.05
% 16.72/3.05 Further assumptions not needed in the proof:
% 16.72/3.05 --------------------------------------------
% 16.72/3.05 antisymmetry_r2_hidden, antisymmetry_r2_xboole_0, commutativity_k2_tarski,
% 16.72/3.05 commutativity_k2_xboole_0, commutativity_k3_xboole_0, d10_xboole_0, d1_tarski,
% 16.72/3.05 d1_xboole_0, d1_zfmisc_1, d2_tarski, d2_xboole_0, d3_xboole_0, d4_tarski,
% 16.72/3.05 d4_xboole_0, d5_tarski, d7_xboole_0, d8_xboole_0, dt_k1_tarski, dt_k1_xboole_0,
% 16.72/3.05 dt_k1_zfmisc_1, dt_k2_tarski, dt_k2_xboole_0, dt_k2_zfmisc_1, dt_k3_tarski,
% 16.72/3.05 dt_k3_xboole_0, dt_k4_tarski, dt_k4_xboole_0, fc1_xboole_0, fc1_zfmisc_1,
% 16.72/3.05 fc2_xboole_0, fc3_xboole_0, idempotence_k2_xboole_0, idempotence_k3_xboole_0,
% 16.72/3.05 irreflexivity_r2_xboole_0, l1_zfmisc_1, l23_zfmisc_1, l25_zfmisc_1,
% 16.72/3.05 l28_zfmisc_1, l2_zfmisc_1, l32_xboole_1, l3_zfmisc_1, l4_zfmisc_1, l50_zfmisc_1,
% 16.72/3.05 l55_zfmisc_1, rc1_xboole_0, rc2_xboole_0, reflexivity_r1_tarski,
% 16.72/3.05 symmetry_r1_xboole_0, t106_zfmisc_1, t10_zfmisc_1, t12_xboole_1, t17_xboole_1,
% 16.72/3.05 t19_xboole_1, t1_boole, t1_xboole_1, t1_zfmisc_1, t26_xboole_1, t28_xboole_1,
% 16.72/3.05 t2_boole, t2_tarski, t2_xboole_1, t33_xboole_1, t33_zfmisc_1, t36_xboole_1,
% 16.72/3.05 t37_xboole_1, t37_zfmisc_1, t38_zfmisc_1, t39_xboole_1, t39_zfmisc_1, t3_boole,
% 16.72/3.05 t3_xboole_0, t3_xboole_1, t40_xboole_1, t45_xboole_1, t46_zfmisc_1,
% 16.72/3.05 t48_xboole_1, t4_boole, t4_xboole_0, t60_xboole_1, t63_xboole_1, t65_zfmisc_1,
% 16.72/3.05 t69_enumset1, t6_boole, t6_zfmisc_1, t7_boole, t7_xboole_1, t83_xboole_1,
% 16.72/3.05 t8_boole, t8_xboole_1, t8_zfmisc_1, t92_zfmisc_1, t99_zfmisc_1, t9_zfmisc_1
% 16.72/3.05
% 16.72/3.05 Those formulas are unsatisfiable:
% 16.72/3.05 ---------------------------------
% 16.72/3.05
% 16.72/3.05 Begin of proof
% 16.72/3.05 |
% 16.72/3.05 | ALPHA: (d2_zfmisc_1) implies:
% 16.72/3.06 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (cartesian_product2(v0,
% 16.72/3.06 | v1) = v2) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ( ! [v3: $i] : !
% 16.72/3.06 | [v4: int] : (v4 = 0 | ~ (in(v3, v2) = v4) | ~ $i(v3) | ! [v5:
% 16.72/3.06 | $i] : ! [v6: $i] : ( ~ (ordered_pair(v5, v6) = v3) | ~ $i(v6)
% 16.72/3.06 | | ~ $i(v5) | ? [v7: any] : ? [v8: any] : (in(v6, v1) = v8 &
% 16.72/3.06 | in(v5, v0) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0))))) & ! [v3:
% 16.72/3.06 | $i] : ( ~ (in(v3, v2) = 0) | ~ $i(v3) | ? [v4: $i] : ? [v5:
% 16.72/3.06 | $i] : (ordered_pair(v4, v5) = v3 & in(v5, v1) = 0 & in(v4, v0)
% 16.72/3.06 | = 0 & $i(v5) & $i(v4)))))
% 16.72/3.06 |
% 16.72/3.06 | ALPHA: (d3_tarski) implies:
% 16.72/3.06 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (subset(v0, v1) = 0) | ~ $i(v1) | ~
% 16.72/3.06 | $i(v0) | ! [v2: $i] : ( ~ (in(v2, v0) = 0) | ~ $i(v2) | in(v2, v1)
% 16.72/3.06 | = 0))
% 16.72/3.06 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (subset(v0, v1)
% 16.72/3.06 | = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: int] : ( ~
% 16.72/3.06 | (v4 = 0) & in(v3, v1) = v4 & in(v3, v0) = 0 & $i(v3)))
% 16.72/3.06 |
% 16.72/3.06 | ALPHA: (function-axioms) implies:
% 16.72/3.06 | (4) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 16.72/3.06 | ! [v3: $i] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0))
% 16.72/3.06 |
% 16.72/3.06 | DELTA: instantiating (t118_zfmisc_1) with fresh symbols all_110_0, all_110_1,
% 16.72/3.06 | all_110_2, all_110_3, all_110_4, all_110_5, all_110_6, all_110_7,
% 16.72/3.06 | all_110_8 gives:
% 16.72/3.06 | (5) cartesian_product2(all_110_6, all_110_7) = all_110_1 &
% 16.72/3.06 | cartesian_product2(all_110_6, all_110_8) = all_110_2 &
% 16.72/3.06 | cartesian_product2(all_110_7, all_110_6) = all_110_4 &
% 16.72/3.06 | cartesian_product2(all_110_8, all_110_6) = all_110_5 &
% 16.72/3.06 | subset(all_110_2, all_110_1) = all_110_0 & subset(all_110_5, all_110_4)
% 16.72/3.06 | = all_110_3 & subset(all_110_8, all_110_7) = 0 & $i(all_110_1) &
% 16.72/3.06 | $i(all_110_2) & $i(all_110_4) & $i(all_110_5) & $i(all_110_6) &
% 16.72/3.06 | $i(all_110_7) & $i(all_110_8) & ( ~ (all_110_0 = 0) | ~ (all_110_3 =
% 16.72/3.06 | 0))
% 16.72/3.06 |
% 16.72/3.06 | ALPHA: (5) implies:
% 16.72/3.06 | (6) $i(all_110_8)
% 16.72/3.06 | (7) $i(all_110_7)
% 16.72/3.06 | (8) $i(all_110_6)
% 16.72/3.06 | (9) $i(all_110_5)
% 16.72/3.06 | (10) $i(all_110_4)
% 16.72/3.06 | (11) $i(all_110_2)
% 16.72/3.06 | (12) $i(all_110_1)
% 16.72/3.06 | (13) subset(all_110_8, all_110_7) = 0
% 16.72/3.06 | (14) subset(all_110_5, all_110_4) = all_110_3
% 16.72/3.06 | (15) subset(all_110_2, all_110_1) = all_110_0
% 16.72/3.06 | (16) cartesian_product2(all_110_8, all_110_6) = all_110_5
% 16.72/3.06 | (17) cartesian_product2(all_110_7, all_110_6) = all_110_4
% 16.72/3.06 | (18) cartesian_product2(all_110_6, all_110_8) = all_110_2
% 16.72/3.06 | (19) cartesian_product2(all_110_6, all_110_7) = all_110_1
% 16.72/3.06 | (20) ~ (all_110_0 = 0) | ~ (all_110_3 = 0)
% 16.72/3.06 |
% 16.72/3.07 | GROUND_INST: instantiating (2) with all_110_8, all_110_7, simplifying with
% 16.72/3.07 | (6), (7), (13) gives:
% 16.72/3.07 | (21) ! [v0: $i] : ( ~ (in(v0, all_110_8) = 0) | ~ $i(v0) | in(v0,
% 16.72/3.07 | all_110_7) = 0)
% 16.72/3.07 |
% 16.72/3.07 | GROUND_INST: instantiating (3) with all_110_5, all_110_4, all_110_3,
% 16.72/3.07 | simplifying with (9), (10), (14) gives:
% 16.72/3.07 | (22) all_110_3 = 0 | ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & in(v0,
% 16.72/3.07 | all_110_4) = v1 & in(v0, all_110_5) = 0 & $i(v0))
% 16.72/3.07 |
% 16.72/3.07 | GROUND_INST: instantiating (3) with all_110_2, all_110_1, all_110_0,
% 16.72/3.07 | simplifying with (11), (12), (15) gives:
% 16.72/3.07 | (23) all_110_0 = 0 | ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & in(v0,
% 16.72/3.07 | all_110_1) = v1 & in(v0, all_110_2) = 0 & $i(v0))
% 16.72/3.07 |
% 16.72/3.07 | GROUND_INST: instantiating (1) with all_110_8, all_110_6, all_110_5,
% 16.72/3.07 | simplifying with (6), (8), (9), (16) gives:
% 16.72/3.07 | (24) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (in(v0, all_110_5) = v1) |
% 16.72/3.07 | ~ $i(v0) | ! [v2: $i] : ! [v3: $i] : ( ~ (ordered_pair(v2, v3) =
% 16.72/3.07 | v0) | ~ $i(v3) | ~ $i(v2) | ? [v4: any] : ? [v5: any] :
% 16.72/3.07 | (in(v3, all_110_6) = v5 & in(v2, all_110_8) = v4 & ( ~ (v5 = 0) |
% 16.72/3.07 | ~ (v4 = 0))))) & ! [v0: $i] : ( ~ (in(v0, all_110_5) = 0) |
% 16.72/3.07 | ~ $i(v0) | ? [v1: $i] : ? [v2: $i] : (ordered_pair(v1, v2) = v0 &
% 16.72/3.07 | in(v2, all_110_6) = 0 & in(v1, all_110_8) = 0 & $i(v2) & $i(v1)))
% 16.72/3.07 |
% 16.72/3.07 | ALPHA: (24) implies:
% 16.72/3.07 | (25) ! [v0: $i] : ( ~ (in(v0, all_110_5) = 0) | ~ $i(v0) | ? [v1: $i] :
% 16.72/3.07 | ? [v2: $i] : (ordered_pair(v1, v2) = v0 & in(v2, all_110_6) = 0 &
% 16.72/3.07 | in(v1, all_110_8) = 0 & $i(v2) & $i(v1)))
% 16.72/3.07 |
% 16.72/3.07 | GROUND_INST: instantiating (1) with all_110_7, all_110_6, all_110_4,
% 16.72/3.07 | simplifying with (7), (8), (10), (17) gives:
% 16.72/3.07 | (26) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (in(v0, all_110_4) = v1) |
% 16.72/3.07 | ~ $i(v0) | ! [v2: $i] : ! [v3: $i] : ( ~ (ordered_pair(v2, v3) =
% 16.72/3.07 | v0) | ~ $i(v3) | ~ $i(v2) | ? [v4: any] : ? [v5: any] :
% 16.72/3.07 | (in(v3, all_110_6) = v5 & in(v2, all_110_7) = v4 & ( ~ (v5 = 0) |
% 16.72/3.07 | ~ (v4 = 0))))) & ! [v0: $i] : ( ~ (in(v0, all_110_4) = 0) |
% 16.72/3.07 | ~ $i(v0) | ? [v1: $i] : ? [v2: $i] : (ordered_pair(v1, v2) = v0 &
% 16.72/3.07 | in(v2, all_110_6) = 0 & in(v1, all_110_7) = 0 & $i(v2) & $i(v1)))
% 16.72/3.07 |
% 16.72/3.07 | ALPHA: (26) implies:
% 16.72/3.07 | (27) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (in(v0, all_110_4) = v1) |
% 16.72/3.07 | ~ $i(v0) | ! [v2: $i] : ! [v3: $i] : ( ~ (ordered_pair(v2, v3) =
% 16.72/3.07 | v0) | ~ $i(v3) | ~ $i(v2) | ? [v4: any] : ? [v5: any] :
% 16.72/3.08 | (in(v3, all_110_6) = v5 & in(v2, all_110_7) = v4 & ( ~ (v5 = 0) |
% 16.72/3.08 | ~ (v4 = 0)))))
% 16.72/3.08 |
% 16.72/3.08 | GROUND_INST: instantiating (1) with all_110_6, all_110_8, all_110_2,
% 16.72/3.08 | simplifying with (6), (8), (11), (18) gives:
% 16.72/3.08 | (28) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (in(v0, all_110_2) = v1) |
% 16.72/3.08 | ~ $i(v0) | ! [v2: $i] : ! [v3: $i] : ( ~ (ordered_pair(v2, v3) =
% 16.72/3.08 | v0) | ~ $i(v3) | ~ $i(v2) | ? [v4: any] : ? [v5: any] :
% 16.72/3.08 | (in(v3, all_110_8) = v5 & in(v2, all_110_6) = v4 & ( ~ (v5 = 0) |
% 16.72/3.08 | ~ (v4 = 0))))) & ! [v0: $i] : ( ~ (in(v0, all_110_2) = 0) |
% 16.72/3.08 | ~ $i(v0) | ? [v1: $i] : ? [v2: $i] : (ordered_pair(v1, v2) = v0 &
% 16.72/3.08 | in(v2, all_110_8) = 0 & in(v1, all_110_6) = 0 & $i(v2) & $i(v1)))
% 16.72/3.08 |
% 16.72/3.08 | ALPHA: (28) implies:
% 16.72/3.08 | (29) ! [v0: $i] : ( ~ (in(v0, all_110_2) = 0) | ~ $i(v0) | ? [v1: $i] :
% 16.72/3.08 | ? [v2: $i] : (ordered_pair(v1, v2) = v0 & in(v2, all_110_8) = 0 &
% 16.72/3.08 | in(v1, all_110_6) = 0 & $i(v2) & $i(v1)))
% 16.72/3.08 |
% 16.72/3.08 | GROUND_INST: instantiating (1) with all_110_6, all_110_7, all_110_1,
% 16.72/3.08 | simplifying with (7), (8), (12), (19) gives:
% 16.72/3.08 | (30) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (in(v0, all_110_1) = v1) |
% 16.72/3.08 | ~ $i(v0) | ! [v2: $i] : ! [v3: $i] : ( ~ (ordered_pair(v2, v3) =
% 16.72/3.08 | v0) | ~ $i(v3) | ~ $i(v2) | ? [v4: any] : ? [v5: any] :
% 16.72/3.08 | (in(v3, all_110_7) = v5 & in(v2, all_110_6) = v4 & ( ~ (v5 = 0) |
% 16.72/3.08 | ~ (v4 = 0))))) & ! [v0: $i] : ( ~ (in(v0, all_110_1) = 0) |
% 16.72/3.08 | ~ $i(v0) | ? [v1: $i] : ? [v2: $i] : (ordered_pair(v1, v2) = v0 &
% 16.72/3.08 | in(v2, all_110_7) = 0 & in(v1, all_110_6) = 0 & $i(v2) & $i(v1)))
% 16.72/3.08 |
% 16.72/3.08 | ALPHA: (30) implies:
% 16.72/3.08 | (31) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (in(v0, all_110_1) = v1) |
% 16.72/3.08 | ~ $i(v0) | ! [v2: $i] : ! [v3: $i] : ( ~ (ordered_pair(v2, v3) =
% 16.72/3.08 | v0) | ~ $i(v3) | ~ $i(v2) | ? [v4: any] : ? [v5: any] :
% 16.72/3.08 | (in(v3, all_110_7) = v5 & in(v2, all_110_6) = v4 & ( ~ (v5 = 0) |
% 16.72/3.08 | ~ (v4 = 0)))))
% 16.72/3.08 |
% 16.72/3.08 | BETA: splitting (20) gives:
% 16.72/3.08 |
% 16.72/3.08 | Case 1:
% 16.72/3.08 | |
% 16.72/3.08 | | (32) ~ (all_110_0 = 0)
% 16.72/3.08 | |
% 16.72/3.08 | | BETA: splitting (23) gives:
% 16.72/3.08 | |
% 16.72/3.08 | | Case 1:
% 16.72/3.08 | | |
% 16.72/3.08 | | | (33) all_110_0 = 0
% 16.72/3.08 | | |
% 16.72/3.08 | | | REDUCE: (32), (33) imply:
% 16.72/3.08 | | | (34) $false
% 16.72/3.08 | | |
% 16.72/3.08 | | | CLOSE: (34) is inconsistent.
% 16.72/3.08 | | |
% 16.72/3.08 | | Case 2:
% 16.72/3.08 | | |
% 16.72/3.08 | | | (35) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & in(v0, all_110_1) = v1
% 16.72/3.08 | | | & in(v0, all_110_2) = 0 & $i(v0))
% 16.72/3.08 | | |
% 16.72/3.08 | | | DELTA: instantiating (35) with fresh symbols all_155_0, all_155_1 gives:
% 16.72/3.09 | | | (36) ~ (all_155_0 = 0) & in(all_155_1, all_110_1) = all_155_0 &
% 16.72/3.09 | | | in(all_155_1, all_110_2) = 0 & $i(all_155_1)
% 16.72/3.09 | | |
% 16.72/3.09 | | | ALPHA: (36) implies:
% 16.72/3.09 | | | (37) ~ (all_155_0 = 0)
% 16.72/3.09 | | | (38) $i(all_155_1)
% 16.72/3.09 | | | (39) in(all_155_1, all_110_2) = 0
% 16.72/3.09 | | | (40) in(all_155_1, all_110_1) = all_155_0
% 16.72/3.09 | | |
% 16.72/3.09 | | | GROUND_INST: instantiating (29) with all_155_1, simplifying with (38),
% 16.72/3.09 | | | (39) gives:
% 16.72/3.09 | | | (41) ? [v0: $i] : ? [v1: $i] : (ordered_pair(v0, v1) = all_155_1 &
% 16.72/3.09 | | | in(v1, all_110_8) = 0 & in(v0, all_110_6) = 0 & $i(v1) & $i(v0))
% 16.72/3.09 | | |
% 16.72/3.09 | | | GROUND_INST: instantiating (31) with all_155_1, all_155_0, simplifying
% 16.72/3.09 | | | with (38), (40) gives:
% 16.72/3.09 | | | (42) all_155_0 = 0 | ! [v0: $i] : ! [v1: $i] : ( ~ (ordered_pair(v0,
% 16.72/3.09 | | | v1) = all_155_1) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ?
% 16.72/3.09 | | | [v3: any] : (in(v1, all_110_7) = v3 & in(v0, all_110_6) = v2 & (
% 16.72/3.09 | | | ~ (v3 = 0) | ~ (v2 = 0))))
% 16.72/3.09 | | |
% 16.72/3.09 | | | DELTA: instantiating (41) with fresh symbols all_166_0, all_166_1 gives:
% 16.72/3.09 | | | (43) ordered_pair(all_166_1, all_166_0) = all_155_1 & in(all_166_0,
% 16.72/3.09 | | | all_110_8) = 0 & in(all_166_1, all_110_6) = 0 & $i(all_166_0) &
% 16.72/3.09 | | | $i(all_166_1)
% 16.72/3.09 | | |
% 16.72/3.09 | | | ALPHA: (43) implies:
% 16.72/3.09 | | | (44) $i(all_166_1)
% 16.72/3.09 | | | (45) $i(all_166_0)
% 16.72/3.09 | | | (46) in(all_166_1, all_110_6) = 0
% 16.72/3.09 | | | (47) in(all_166_0, all_110_8) = 0
% 16.72/3.09 | | | (48) ordered_pair(all_166_1, all_166_0) = all_155_1
% 16.72/3.09 | | |
% 16.72/3.09 | | | BETA: splitting (42) gives:
% 16.72/3.09 | | |
% 16.72/3.09 | | | Case 1:
% 16.72/3.09 | | | |
% 16.72/3.09 | | | | (49) all_155_0 = 0
% 16.72/3.09 | | | |
% 16.72/3.09 | | | | REDUCE: (37), (49) imply:
% 16.72/3.09 | | | | (50) $false
% 16.72/3.09 | | | |
% 16.72/3.09 | | | | CLOSE: (50) is inconsistent.
% 16.72/3.09 | | | |
% 16.72/3.09 | | | Case 2:
% 16.72/3.09 | | | |
% 16.72/3.09 | | | | (51) ! [v0: $i] : ! [v1: $i] : ( ~ (ordered_pair(v0, v1) =
% 16.72/3.09 | | | | all_155_1) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3:
% 16.72/3.09 | | | | any] : (in(v1, all_110_7) = v3 & in(v0, all_110_6) = v2 & (
% 16.72/3.09 | | | | ~ (v3 = 0) | ~ (v2 = 0))))
% 16.72/3.09 | | | |
% 16.72/3.09 | | | | GROUND_INST: instantiating (21) with all_166_0, simplifying with (45),
% 16.72/3.09 | | | | (47) gives:
% 16.72/3.09 | | | | (52) in(all_166_0, all_110_7) = 0
% 16.72/3.09 | | | |
% 16.72/3.09 | | | | GROUND_INST: instantiating (51) with all_166_1, all_166_0, simplifying
% 16.72/3.09 | | | | with (44), (45), (48) gives:
% 16.72/3.09 | | | | (53) ? [v0: any] : ? [v1: any] : (in(all_166_0, all_110_7) = v1 &
% 16.72/3.09 | | | | in(all_166_1, all_110_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 16.72/3.09 | | | |
% 16.72/3.09 | | | | DELTA: instantiating (53) with fresh symbols all_189_0, all_189_1 gives:
% 16.72/3.09 | | | | (54) in(all_166_0, all_110_7) = all_189_0 & in(all_166_1, all_110_6)
% 16.72/3.09 | | | | = all_189_1 & ( ~ (all_189_0 = 0) | ~ (all_189_1 = 0))
% 16.72/3.09 | | | |
% 16.72/3.09 | | | | ALPHA: (54) implies:
% 16.72/3.09 | | | | (55) in(all_166_1, all_110_6) = all_189_1
% 16.72/3.09 | | | | (56) in(all_166_0, all_110_7) = all_189_0
% 16.72/3.09 | | | | (57) ~ (all_189_0 = 0) | ~ (all_189_1 = 0)
% 16.72/3.09 | | | |
% 16.72/3.09 | | | | GROUND_INST: instantiating (4) with 0, all_189_1, all_110_6, all_166_1,
% 16.72/3.09 | | | | simplifying with (46), (55) gives:
% 16.72/3.09 | | | | (58) all_189_1 = 0
% 16.72/3.09 | | | |
% 16.72/3.09 | | | | GROUND_INST: instantiating (4) with 0, all_189_0, all_110_7, all_166_0,
% 16.72/3.09 | | | | simplifying with (52), (56) gives:
% 16.72/3.09 | | | | (59) all_189_0 = 0
% 16.72/3.09 | | | |
% 16.72/3.09 | | | | BETA: splitting (57) gives:
% 16.72/3.09 | | | |
% 16.72/3.09 | | | | Case 1:
% 16.72/3.09 | | | | |
% 16.72/3.09 | | | | | (60) ~ (all_189_0 = 0)
% 16.72/3.09 | | | | |
% 16.72/3.09 | | | | | REDUCE: (59), (60) imply:
% 16.72/3.10 | | | | | (61) $false
% 16.72/3.10 | | | | |
% 16.72/3.10 | | | | | CLOSE: (61) is inconsistent.
% 16.72/3.10 | | | | |
% 16.72/3.10 | | | | Case 2:
% 16.72/3.10 | | | | |
% 16.72/3.10 | | | | | (62) ~ (all_189_1 = 0)
% 16.72/3.10 | | | | |
% 16.72/3.10 | | | | | REDUCE: (58), (62) imply:
% 16.72/3.10 | | | | | (63) $false
% 16.72/3.10 | | | | |
% 16.72/3.10 | | | | | CLOSE: (63) is inconsistent.
% 16.72/3.10 | | | | |
% 16.72/3.10 | | | | End of split
% 16.72/3.10 | | | |
% 16.72/3.10 | | | End of split
% 16.72/3.10 | | |
% 16.72/3.10 | | End of split
% 16.72/3.10 | |
% 16.72/3.10 | Case 2:
% 16.72/3.10 | |
% 16.72/3.10 | | (64) ~ (all_110_3 = 0)
% 16.72/3.10 | |
% 16.72/3.10 | | BETA: splitting (22) gives:
% 16.72/3.10 | |
% 16.72/3.10 | | Case 1:
% 16.72/3.10 | | |
% 16.72/3.10 | | | (65) all_110_3 = 0
% 16.72/3.10 | | |
% 16.72/3.10 | | | REDUCE: (64), (65) imply:
% 16.72/3.10 | | | (66) $false
% 16.72/3.10 | | |
% 16.72/3.10 | | | CLOSE: (66) is inconsistent.
% 16.72/3.10 | | |
% 17.22/3.10 | | Case 2:
% 17.22/3.10 | | |
% 17.22/3.10 | | | (67) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & in(v0, all_110_4) = v1
% 17.22/3.10 | | | & in(v0, all_110_5) = 0 & $i(v0))
% 17.22/3.10 | | |
% 17.22/3.10 | | | DELTA: instantiating (67) with fresh symbols all_155_0, all_155_1 gives:
% 17.22/3.10 | | | (68) ~ (all_155_0 = 0) & in(all_155_1, all_110_4) = all_155_0 &
% 17.22/3.10 | | | in(all_155_1, all_110_5) = 0 & $i(all_155_1)
% 17.22/3.10 | | |
% 17.22/3.10 | | | ALPHA: (68) implies:
% 17.22/3.10 | | | (69) ~ (all_155_0 = 0)
% 17.22/3.10 | | | (70) $i(all_155_1)
% 17.22/3.10 | | | (71) in(all_155_1, all_110_5) = 0
% 17.22/3.10 | | | (72) in(all_155_1, all_110_4) = all_155_0
% 17.22/3.10 | | |
% 17.22/3.10 | | | GROUND_INST: instantiating (25) with all_155_1, simplifying with (70),
% 17.22/3.10 | | | (71) gives:
% 17.22/3.10 | | | (73) ? [v0: $i] : ? [v1: $i] : (ordered_pair(v0, v1) = all_155_1 &
% 17.22/3.10 | | | in(v1, all_110_6) = 0 & in(v0, all_110_8) = 0 & $i(v1) & $i(v0))
% 17.22/3.10 | | |
% 17.22/3.10 | | | GROUND_INST: instantiating (27) with all_155_1, all_155_0, simplifying
% 17.22/3.10 | | | with (70), (72) gives:
% 17.22/3.10 | | | (74) all_155_0 = 0 | ! [v0: $i] : ! [v1: $i] : ( ~ (ordered_pair(v0,
% 17.22/3.10 | | | v1) = all_155_1) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ?
% 17.22/3.10 | | | [v3: any] : (in(v1, all_110_6) = v3 & in(v0, all_110_7) = v2 & (
% 17.22/3.10 | | | ~ (v3 = 0) | ~ (v2 = 0))))
% 17.22/3.10 | | |
% 17.22/3.10 | | | DELTA: instantiating (73) with fresh symbols all_167_0, all_167_1 gives:
% 17.22/3.10 | | | (75) ordered_pair(all_167_1, all_167_0) = all_155_1 & in(all_167_0,
% 17.22/3.10 | | | all_110_6) = 0 & in(all_167_1, all_110_8) = 0 & $i(all_167_0) &
% 17.22/3.10 | | | $i(all_167_1)
% 17.22/3.10 | | |
% 17.22/3.10 | | | ALPHA: (75) implies:
% 17.22/3.10 | | | (76) $i(all_167_1)
% 17.22/3.10 | | | (77) $i(all_167_0)
% 17.22/3.10 | | | (78) in(all_167_1, all_110_8) = 0
% 17.22/3.10 | | | (79) in(all_167_0, all_110_6) = 0
% 17.22/3.10 | | | (80) ordered_pair(all_167_1, all_167_0) = all_155_1
% 17.22/3.10 | | |
% 17.22/3.10 | | | BETA: splitting (74) gives:
% 17.22/3.10 | | |
% 17.22/3.10 | | | Case 1:
% 17.22/3.10 | | | |
% 17.22/3.10 | | | | (81) all_155_0 = 0
% 17.22/3.10 | | | |
% 17.22/3.10 | | | | REDUCE: (69), (81) imply:
% 17.22/3.10 | | | | (82) $false
% 17.22/3.10 | | | |
% 17.22/3.10 | | | | CLOSE: (82) is inconsistent.
% 17.22/3.10 | | | |
% 17.22/3.10 | | | Case 2:
% 17.22/3.10 | | | |
% 17.22/3.10 | | | | (83) ! [v0: $i] : ! [v1: $i] : ( ~ (ordered_pair(v0, v1) =
% 17.22/3.10 | | | | all_155_1) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3:
% 17.22/3.10 | | | | any] : (in(v1, all_110_6) = v3 & in(v0, all_110_7) = v2 & (
% 17.22/3.10 | | | | ~ (v3 = 0) | ~ (v2 = 0))))
% 17.22/3.10 | | | |
% 17.22/3.10 | | | | GROUND_INST: instantiating (21) with all_167_1, simplifying with (76),
% 17.22/3.10 | | | | (78) gives:
% 17.22/3.10 | | | | (84) in(all_167_1, all_110_7) = 0
% 17.22/3.10 | | | |
% 17.22/3.10 | | | | GROUND_INST: instantiating (83) with all_167_1, all_167_0, simplifying
% 17.22/3.10 | | | | with (76), (77), (80) gives:
% 17.22/3.11 | | | | (85) ? [v0: any] : ? [v1: any] : (in(all_167_0, all_110_6) = v1 &
% 17.22/3.11 | | | | in(all_167_1, all_110_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 17.22/3.11 | | | |
% 17.22/3.11 | | | | DELTA: instantiating (85) with fresh symbols all_190_0, all_190_1 gives:
% 17.22/3.11 | | | | (86) in(all_167_0, all_110_6) = all_190_0 & in(all_167_1, all_110_7)
% 17.22/3.11 | | | | = all_190_1 & ( ~ (all_190_0 = 0) | ~ (all_190_1 = 0))
% 17.22/3.11 | | | |
% 17.22/3.11 | | | | ALPHA: (86) implies:
% 17.22/3.11 | | | | (87) in(all_167_1, all_110_7) = all_190_1
% 17.22/3.11 | | | | (88) in(all_167_0, all_110_6) = all_190_0
% 17.22/3.11 | | | | (89) ~ (all_190_0 = 0) | ~ (all_190_1 = 0)
% 17.22/3.11 | | | |
% 17.22/3.11 | | | | GROUND_INST: instantiating (4) with 0, all_190_1, all_110_7, all_167_1,
% 17.22/3.11 | | | | simplifying with (84), (87) gives:
% 17.22/3.11 | | | | (90) all_190_1 = 0
% 17.22/3.11 | | | |
% 17.22/3.11 | | | | GROUND_INST: instantiating (4) with 0, all_190_0, all_110_6, all_167_0,
% 17.22/3.11 | | | | simplifying with (79), (88) gives:
% 17.22/3.11 | | | | (91) all_190_0 = 0
% 17.22/3.11 | | | |
% 17.22/3.11 | | | | BETA: splitting (89) gives:
% 17.22/3.11 | | | |
% 17.22/3.11 | | | | Case 1:
% 17.22/3.11 | | | | |
% 17.22/3.11 | | | | | (92) ~ (all_190_0 = 0)
% 17.22/3.11 | | | | |
% 17.22/3.11 | | | | | REDUCE: (91), (92) imply:
% 17.22/3.11 | | | | | (93) $false
% 17.22/3.11 | | | | |
% 17.22/3.11 | | | | | CLOSE: (93) is inconsistent.
% 17.22/3.11 | | | | |
% 17.22/3.11 | | | | Case 2:
% 17.22/3.11 | | | | |
% 17.22/3.11 | | | | | (94) ~ (all_190_1 = 0)
% 17.22/3.11 | | | | |
% 17.22/3.11 | | | | | REDUCE: (90), (94) imply:
% 17.22/3.11 | | | | | (95) $false
% 17.22/3.11 | | | | |
% 17.22/3.11 | | | | | CLOSE: (95) is inconsistent.
% 17.22/3.11 | | | | |
% 17.22/3.11 | | | | End of split
% 17.22/3.11 | | | |
% 17.22/3.11 | | | End of split
% 17.22/3.11 | | |
% 17.22/3.11 | | End of split
% 17.22/3.11 | |
% 17.22/3.11 | End of split
% 17.22/3.11 |
% 17.22/3.11 End of proof
% 17.33/3.11 % SZS output end Proof for theBenchmark
% 17.33/3.11
% 17.33/3.11 2452ms
%------------------------------------------------------------------------------