TSTP Solution File: SEU199+2 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SEU199+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 : n027.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 17:43:13 EDT 2023
% Result : Theorem 24.10s 4.03s
% Output : Proof 33.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU199+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 23 20:45:16 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.60 ________ _____
% 0.19/0.60 ___ __ \_________(_)________________________________
% 0.19/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.60
% 0.19/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.60 (2023-06-19)
% 0.19/0.60
% 0.19/0.60 (c) Philipp Rümmer, 2009-2023
% 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.60 Amanda Stjerna.
% 0.19/0.60 Free software under BSD-3-Clause.
% 0.19/0.60
% 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.60
% 0.19/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.62 Running up to 7 provers in parallel.
% 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 5.19/1.51 Prover 1: Preprocessing ...
% 5.19/1.54 Prover 4: Preprocessing ...
% 5.19/1.57 Prover 6: Preprocessing ...
% 5.19/1.57 Prover 0: Preprocessing ...
% 5.19/1.58 Prover 3: Preprocessing ...
% 5.19/1.58 Prover 2: Preprocessing ...
% 5.19/1.58 Prover 5: Preprocessing ...
% 14.43/2.83 Prover 1: Warning: ignoring some quantifiers
% 15.68/2.96 Prover 1: Constructing countermodel ...
% 15.68/2.98 Prover 6: Proving ...
% 15.68/2.98 Prover 3: Warning: ignoring some quantifiers
% 15.68/2.98 Prover 5: Proving ...
% 15.68/3.00 Prover 3: Constructing countermodel ...
% 17.36/3.12 Prover 4: Warning: ignoring some quantifiers
% 18.30/3.25 Prover 4: Constructing countermodel ...
% 18.65/3.29 Prover 0: Proving ...
% 18.65/3.32 Prover 2: Proving ...
% 24.10/4.02 Prover 3: proved (3396ms)
% 24.10/4.03
% 24.10/4.03 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.10/4.03
% 24.10/4.03 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 24.10/4.03 Prover 5: stopped
% 24.10/4.03 Prover 2: stopped
% 24.10/4.03 Prover 0: stopped
% 24.55/4.07 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 24.55/4.07 Prover 6: stopped
% 24.55/4.07 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 24.55/4.07 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 24.55/4.07 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 25.43/4.28 Prover 8: Preprocessing ...
% 25.43/4.34 Prover 11: Preprocessing ...
% 25.43/4.36 Prover 7: Preprocessing ...
% 25.43/4.37 Prover 10: Preprocessing ...
% 27.27/4.47 Prover 13: Preprocessing ...
% 28.31/4.62 Prover 8: Warning: ignoring some quantifiers
% 28.31/4.65 Prover 7: Warning: ignoring some quantifiers
% 29.02/4.67 Prover 8: Constructing countermodel ...
% 29.02/4.68 Prover 7: Constructing countermodel ...
% 29.62/4.78 Prover 10: Warning: ignoring some quantifiers
% 30.15/4.81 Prover 10: Constructing countermodel ...
% 30.64/4.90 Prover 13: Warning: ignoring some quantifiers
% 31.38/4.97 Prover 13: Constructing countermodel ...
% 31.38/5.06 Prover 11: Warning: ignoring some quantifiers
% 31.38/5.14 Prover 11: Constructing countermodel ...
% 31.38/5.15 Prover 10: Found proof (size 10)
% 31.38/5.15 Prover 10: proved (1092ms)
% 31.38/5.15 Prover 7: stopped
% 31.38/5.15 Prover 13: stopped
% 31.38/5.15 Prover 1: stopped
% 31.38/5.15 Prover 8: stopped
% 31.38/5.15 Prover 4: stopped
% 31.38/5.18 Prover 11: stopped
% 31.38/5.18
% 31.38/5.18 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.38/5.18
% 32.42/5.18 % SZS output start Proof for theBenchmark
% 32.42/5.19 Assumptions after simplification:
% 32.42/5.19 ---------------------------------
% 32.42/5.19
% 32.42/5.19 (d12_relat_1)
% 33.08/5.22 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 33.08/5.22 $i] : ( ~ (relation_rng_restriction(v0, v1) = v2) | ~ (ordered_pair(v3, v4)
% 33.08/5.22 = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 33.08/5.22 relation(v2) | ~ relation(v1) | ~ in(v5, v2) | in(v5, v1)) & ! [v0: $i] :
% 33.08/5.22 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 33.08/5.22 (relation_rng_restriction(v0, v1) = v2) | ~ (ordered_pair(v3, v4) = v5) |
% 33.08/5.22 ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ relation(v2) |
% 33.08/5.22 ~ relation(v1) | ~ in(v5, v2) | in(v4, v0)) & ! [v0: $i] : ! [v1: $i] :
% 33.08/5.22 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 33.08/5.22 (relation_rng_restriction(v0, v1) = v2) | ~ (ordered_pair(v3, v4) = v5) |
% 33.08/5.22 ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ relation(v2) |
% 33.08/5.22 ~ relation(v1) | ~ in(v5, v1) | ~ in(v4, v0) | in(v5, v2)) & ! [v0: $i]
% 33.08/5.22 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v2 | ~
% 33.08/5.22 (relation_rng_restriction(v0, v1) = v2) | ~ $i(v3) | ~ $i(v1) | ~ $i(v0)
% 33.08/5.22 | ~ relation(v3) | ~ relation(v1) | ? [v4: $i] : ? [v5: $i] : ? [v6:
% 33.08/5.22 $i] : (ordered_pair(v4, v5) = v6 & $i(v6) & $i(v5) & $i(v4) & ( ~ in(v6,
% 33.08/5.22 v3) | ~ in(v6, v1) | ~ in(v5, v0)) & (in(v6, v3) | (in(v6, v1) &
% 33.08/5.22 in(v5, v0)))))
% 33.08/5.22
% 33.08/5.22 (d3_relat_1)
% 33.13/5.23 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 33.13/5.23 (ordered_pair(v2, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0)
% 33.13/5.23 | ~ subset(v0, v1) | ~ relation(v1) | ~ relation(v0) | ~ in(v4, v0) |
% 33.13/5.23 in(v4, v1)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~
% 33.13/5.23 relation(v1) | ~ relation(v0) | subset(v0, v1) | ? [v2: $i] : ? [v3: $i]
% 33.13/5.23 : ? [v4: $i] : (ordered_pair(v2, v3) = v4 & $i(v4) & $i(v3) & $i(v2) &
% 33.13/5.23 in(v4, v0) & ~ in(v4, v1)))
% 33.13/5.23
% 33.13/5.23 (dt_k8_relat_1)
% 33.13/5.23 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (relation_rng_restriction(v0,
% 33.13/5.23 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~ relation(v1) | relation(v2))
% 33.13/5.23
% 33.13/5.23 (t117_relat_1)
% 33.13/5.23 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (relation_rng_restriction(v0, v1) =
% 33.13/5.23 v2 & $i(v2) & $i(v1) & $i(v0) & relation(v1) & ~ subset(v2, v1))
% 33.13/5.23
% 33.13/5.23 Further assumptions not needed in the proof:
% 33.13/5.23 --------------------------------------------
% 33.13/5.23 antisymmetry_r2_hidden, antisymmetry_r2_xboole_0, cc1_relat_1,
% 33.13/5.23 commutativity_k2_tarski, commutativity_k2_xboole_0, commutativity_k3_xboole_0,
% 33.13/5.23 d10_relat_1, d10_xboole_0, d11_relat_1, d1_relat_1, d1_setfam_1, d1_tarski,
% 33.13/5.23 d1_xboole_0, d1_zfmisc_1, d2_relat_1, d2_subset_1, d2_tarski, d2_xboole_0,
% 33.13/5.23 d2_zfmisc_1, d3_tarski, d3_xboole_0, d4_relat_1, d4_subset_1, d4_tarski,
% 33.13/5.23 d4_xboole_0, d5_relat_1, d5_subset_1, d5_tarski, d6_relat_1, d7_relat_1,
% 33.13/5.23 d7_xboole_0, d8_relat_1, d8_setfam_1, d8_xboole_0, dt_k1_relat_1,
% 33.13/5.23 dt_k1_setfam_1, dt_k1_tarski, dt_k1_xboole_0, dt_k1_zfmisc_1, dt_k2_relat_1,
% 33.13/5.23 dt_k2_subset_1, dt_k2_tarski, dt_k2_xboole_0, dt_k2_zfmisc_1, dt_k3_relat_1,
% 33.13/5.23 dt_k3_subset_1, dt_k3_tarski, dt_k3_xboole_0, dt_k4_relat_1, dt_k4_tarski,
% 33.13/5.23 dt_k4_xboole_0, dt_k5_relat_1, dt_k5_setfam_1, dt_k6_relat_1, dt_k6_setfam_1,
% 33.13/5.23 dt_k6_subset_1, dt_k7_relat_1, dt_k7_setfam_1, dt_m1_subset_1,
% 33.13/5.23 existence_m1_subset_1, fc10_relat_1, fc1_relat_1, fc1_subset_1, fc1_xboole_0,
% 33.13/5.23 fc1_zfmisc_1, fc2_relat_1, fc2_subset_1, fc2_xboole_0, fc3_subset_1,
% 33.13/5.23 fc3_xboole_0, fc4_relat_1, fc4_subset_1, fc5_relat_1, fc6_relat_1, fc7_relat_1,
% 33.13/5.23 fc8_relat_1, fc9_relat_1, idempotence_k2_xboole_0, idempotence_k3_xboole_0,
% 33.13/5.23 involutiveness_k3_subset_1, involutiveness_k4_relat_1,
% 33.13/5.23 involutiveness_k7_setfam_1, irreflexivity_r2_xboole_0, l1_zfmisc_1,
% 33.13/5.23 l23_zfmisc_1, l25_zfmisc_1, l28_zfmisc_1, l2_zfmisc_1, l32_xboole_1,
% 33.13/5.23 l3_subset_1, l3_zfmisc_1, l4_zfmisc_1, l50_zfmisc_1, l55_zfmisc_1, l71_subset_1,
% 33.13/5.23 rc1_relat_1, rc1_subset_1, rc1_xboole_0, rc2_relat_1, rc2_subset_1,
% 33.13/5.23 rc2_xboole_0, redefinition_k5_setfam_1, redefinition_k6_setfam_1,
% 33.13/5.23 redefinition_k6_subset_1, reflexivity_r1_tarski, symmetry_r1_xboole_0,
% 33.13/5.23 t106_zfmisc_1, t10_zfmisc_1, t115_relat_1, t116_relat_1, t118_zfmisc_1,
% 33.13/5.23 t119_zfmisc_1, t12_xboole_1, t136_zfmisc_1, t17_xboole_1, t19_xboole_1,
% 33.13/5.23 t1_boole, t1_subset, t1_xboole_1, t1_zfmisc_1, t20_relat_1, t21_relat_1,
% 33.13/5.23 t25_relat_1, t26_xboole_1, t28_xboole_1, t2_boole, t2_subset, t2_tarski,
% 33.13/5.23 t2_xboole_1, t30_relat_1, t33_xboole_1, t33_zfmisc_1, t36_xboole_1, t37_relat_1,
% 33.13/5.23 t37_xboole_1, t37_zfmisc_1, t38_zfmisc_1, t39_xboole_1, t39_zfmisc_1, t3_boole,
% 33.13/5.23 t3_subset, t3_xboole_0, t3_xboole_1, t40_xboole_1, t43_subset_1, t44_relat_1,
% 33.13/5.23 t45_relat_1, t45_xboole_1, t46_relat_1, t46_setfam_1, t46_zfmisc_1, t47_relat_1,
% 33.13/5.23 t47_setfam_1, t48_setfam_1, t48_xboole_1, t4_boole, t4_subset, t4_xboole_0,
% 33.13/5.23 t50_subset_1, t54_subset_1, t56_relat_1, t5_subset, t60_relat_1, t60_xboole_1,
% 33.13/5.23 t63_xboole_1, t64_relat_1, t65_relat_1, t65_zfmisc_1, t69_enumset1, t6_boole,
% 33.13/5.23 t6_zfmisc_1, t71_relat_1, t74_relat_1, t7_boole, t7_xboole_1, t83_xboole_1,
% 33.13/5.23 t86_relat_1, t88_relat_1, t8_boole, t8_xboole_1, t8_zfmisc_1, t90_relat_1,
% 33.13/5.23 t92_zfmisc_1, t94_relat_1, t99_relat_1, t99_zfmisc_1, t9_tarski, t9_zfmisc_1
% 33.13/5.23
% 33.13/5.23 Those formulas are unsatisfiable:
% 33.13/5.23 ---------------------------------
% 33.13/5.23
% 33.13/5.23 Begin of proof
% 33.13/5.24 |
% 33.13/5.24 | ALPHA: (d12_relat_1) implies:
% 33.13/5.24 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 33.13/5.24 | ! [v5: $i] : ( ~ (relation_rng_restriction(v0, v1) = v2) | ~
% 33.13/5.24 | (ordered_pair(v3, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 33.13/5.24 | $i(v1) | ~ $i(v0) | ~ relation(v2) | ~ relation(v1) | ~ in(v5,
% 33.13/5.24 | v2) | in(v5, v1))
% 33.13/5.24 |
% 33.13/5.24 | ALPHA: (d3_relat_1) implies:
% 33.13/5.24 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ relation(v1) |
% 33.13/5.24 | ~ relation(v0) | subset(v0, v1) | ? [v2: $i] : ? [v3: $i] : ? [v4:
% 33.13/5.24 | $i] : (ordered_pair(v2, v3) = v4 & $i(v4) & $i(v3) & $i(v2) &
% 33.13/5.24 | in(v4, v0) & ~ in(v4, v1)))
% 33.13/5.24 |
% 33.13/5.24 | DELTA: instantiating (t117_relat_1) with fresh symbols all_181_0, all_181_1,
% 33.13/5.24 | all_181_2 gives:
% 33.13/5.24 | (3) relation_rng_restriction(all_181_2, all_181_1) = all_181_0 &
% 33.13/5.24 | $i(all_181_0) & $i(all_181_1) & $i(all_181_2) & relation(all_181_1) &
% 33.13/5.24 | ~ subset(all_181_0, all_181_1)
% 33.13/5.24 |
% 33.13/5.24 | ALPHA: (3) implies:
% 33.13/5.24 | (4) ~ subset(all_181_0, all_181_1)
% 33.13/5.24 | (5) relation(all_181_1)
% 33.13/5.24 | (6) $i(all_181_2)
% 33.13/5.24 | (7) $i(all_181_1)
% 33.13/5.24 | (8) $i(all_181_0)
% 33.13/5.24 | (9) relation_rng_restriction(all_181_2, all_181_1) = all_181_0
% 33.13/5.24 |
% 33.13/5.24 | GROUND_INST: instantiating (dt_k8_relat_1) with all_181_2, all_181_1,
% 33.13/5.24 | all_181_0, simplifying with (5), (6), (7), (9) gives:
% 33.13/5.25 | (10) relation(all_181_0)
% 33.13/5.25 |
% 33.13/5.25 | GROUND_INST: instantiating (2) with all_181_0, all_181_1, simplifying with
% 33.13/5.25 | (4), (5), (7), (8), (10) gives:
% 33.13/5.25 | (11) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (ordered_pair(v0, v1) = v2 &
% 33.13/5.25 | $i(v2) & $i(v1) & $i(v0) & in(v2, all_181_0) & ~ in(v2, all_181_1))
% 33.13/5.25 |
% 33.13/5.25 | DELTA: instantiating (11) with fresh symbols all_246_0, all_246_1, all_246_2
% 33.13/5.25 | gives:
% 33.13/5.25 | (12) ordered_pair(all_246_2, all_246_1) = all_246_0 & $i(all_246_0) &
% 33.13/5.25 | $i(all_246_1) & $i(all_246_2) & in(all_246_0, all_181_0) & ~
% 33.13/5.25 | in(all_246_0, all_181_1)
% 33.13/5.25 |
% 33.13/5.25 | ALPHA: (12) implies:
% 33.13/5.25 | (13) ~ in(all_246_0, all_181_1)
% 33.13/5.25 | (14) in(all_246_0, all_181_0)
% 33.13/5.25 | (15) $i(all_246_2)
% 33.13/5.25 | (16) $i(all_246_1)
% 33.13/5.25 | (17) ordered_pair(all_246_2, all_246_1) = all_246_0
% 33.13/5.25 |
% 33.13/5.25 | GROUND_INST: instantiating (1) with all_181_2, all_181_1, all_181_0,
% 33.13/5.25 | all_246_2, all_246_1, all_246_0, simplifying with (5), (6), (7),
% 33.13/5.25 | (8), (9), (10), (13), (14), (15), (16), (17) gives:
% 33.13/5.25 | (18) $false
% 33.13/5.25 |
% 33.13/5.25 | CLOSE: (18) is inconsistent.
% 33.13/5.25 |
% 33.13/5.25 End of proof
% 33.13/5.25 % SZS output end Proof for theBenchmark
% 33.13/5.25
% 33.13/5.25 4647ms
%------------------------------------------------------------------------------