%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SEU275+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 : n014.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 17:43:48 EDT 2023 % Result : Theorem 35.79s 5.57s % Output : Proof 62.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU275+2 : TPTP v8.1.2. Released v3.3.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n014.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 : Wed Aug 23 14:02:04 EDT 2023 % 0.13/0.34 % CPUTime : % 0.19/0.63 ________ _____ % 0.19/0.63 ___ __ \_________(_)________________________________ % 0.19/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.63 % 0.19/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.63 (2023-06-19) % 0.19/0.63 % 0.19/0.63 (c) Philipp Rümmer, 2009-2023 % 0.19/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.63 Amanda Stjerna. % 0.19/0.63 Free software under BSD-3-Clause. % 0.19/0.63 % 0.19/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.63 % 0.19/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.19/0.64 Running up to 7 provers in parallel. % 0.19/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 8.87/1.99 Prover 3: Preprocessing ... % 8.87/1.99 Prover 6: Preprocessing ... % 8.87/1.99 Prover 5: Preprocessing ... % 8.87/2.02 Prover 4: Preprocessing ... % 8.87/2.02 Prover 0: Preprocessing ... % 8.87/2.03 Prover 2: Preprocessing ... % 8.87/2.03 Prover 1: Preprocessing ... % 24.54/4.05 Prover 1: Warning: ignoring some quantifiers % 24.54/4.17 Prover 3: Warning: ignoring some quantifiers % 24.54/4.19 Prover 1: Constructing countermodel ... % 25.75/4.25 Prover 3: Constructing countermodel ... % 26.68/4.33 Prover 6: Proving ... % 27.43/4.42 Prover 5: Proving ... % 32.22/5.05 Prover 2: Proving ... % 35.79/5.56 Prover 3: proved (4913ms) % 35.79/5.56 % 35.79/5.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 35.79/5.57 % 35.79/5.57 Prover 6: stopped % 35.79/5.57 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 35.79/5.57 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 35.79/5.58 Prover 5: stopped % 35.79/5.59 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 35.79/5.63 Prover 2: stopped % 35.79/5.64 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 39.84/6.03 Prover 4: Warning: ignoring some quantifiers % 40.52/6.16 Prover 7: Preprocessing ... % 40.52/6.25 Prover 4: Constructing countermodel ... % 40.52/6.26 Prover 10: Preprocessing ... % 40.52/6.31 Prover 11: Preprocessing ... % 41.73/6.34 Prover 8: Preprocessing ... % 44.82/6.71 Prover 10: Warning: ignoring some quantifiers % 44.82/6.76 Prover 10: Constructing countermodel ... % 45.81/6.81 Prover 7: Warning: ignoring some quantifiers % 46.01/6.89 Prover 7: Constructing countermodel ... % 47.36/7.04 Prover 8: Warning: ignoring some quantifiers % 47.36/7.09 Prover 8: Constructing countermodel ... % 53.38/7.86 Prover 0: Proving ... % 53.38/7.86 Prover 0: stopped % 53.38/7.86 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 55.61/8.11 Prover 13: Preprocessing ... % 57.95/8.42 Prover 10: Found proof (size 12) % 57.95/8.42 Prover 10: proved (2827ms) % 57.95/8.42 Prover 4: stopped % 57.95/8.42 Prover 7: stopped % 57.95/8.42 Prover 8: stopped % 57.95/8.43 Prover 1: stopped % 59.45/8.68 Prover 13: Warning: ignoring some quantifiers % 59.45/8.74 Prover 13: Constructing countermodel ... % 59.91/8.78 Prover 13: stopped % 61.35/9.11 Prover 11: Warning: ignoring some quantifiers % 61.54/9.25 Prover 11: Constructing countermodel ... % 61.54/9.27 Prover 11: stopped % 61.54/9.28 % 61.54/9.28 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 61.54/9.28 % 61.54/9.28 % SZS output start Proof for theBenchmark % 62.09/9.31 Assumptions after simplification: % 62.09/9.31 --------------------------------- % 62.09/9.31 % 62.09/9.31 (d4_wellord1) % 62.09/9.32 ! [v0: $i] : ( ~ $i(v0) | ~ reflexive(v0) | ~ well_founded_relation(v0) | % 62.09/9.32 ~ transitive(v0) | ~ connected(v0) | ~ antisymmetric(v0) | ~ relation(v0) % 62.09/9.32 | well_ordering(v0)) & ! [v0: $i] : ( ~ $i(v0) | ~ well_ordering(v0) | ~ % 62.09/9.32 relation(v0) | reflexive(v0)) & ! [v0: $i] : ( ~ $i(v0) | ~ % 62.09/9.32 well_ordering(v0) | ~ relation(v0) | well_founded_relation(v0)) & ! [v0: % 62.09/9.32 $i] : ( ~ $i(v0) | ~ well_ordering(v0) | ~ relation(v0) | transitive(v0)) % 62.09/9.32 & ! [v0: $i] : ( ~ $i(v0) | ~ well_ordering(v0) | ~ relation(v0) | % 62.09/9.32 connected(v0)) & ! [v0: $i] : ( ~ $i(v0) | ~ well_ordering(v0) | ~ % 62.09/9.32 relation(v0) | antisymmetric(v0)) % 62.09/9.32 % 62.09/9.32 (dt_k1_wellord2) % 62.47/9.36 ! [v0: $i] : ! [v1: $i] : ( ~ (inclusion_relation(v0) = v1) | ~ $i(v0) | % 62.47/9.36 relation(v1)) % 62.47/9.36 % 62.47/9.36 (t2_wellord2) % 62.47/9.36 ! [v0: $i] : ! [v1: $i] : ( ~ (inclusion_relation(v0) = v1) | ~ $i(v0) | % 62.47/9.36 reflexive(v1)) % 62.47/9.36 % 62.47/9.36 (t3_wellord2) % 62.47/9.36 ! [v0: $i] : ! [v1: $i] : ( ~ (inclusion_relation(v0) = v1) | ~ $i(v0) | % 62.47/9.36 transitive(v1)) % 62.47/9.36 % 62.47/9.36 (t4_wellord2) % 62.47/9.37 ! [v0: $i] : ! [v1: $i] : ( ~ (inclusion_relation(v0) = v1) | ~ $i(v0) | ~ % 62.47/9.37 ordinal(v0) | connected(v1)) % 62.47/9.37 % 62.47/9.37 (t5_wellord2) % 62.47/9.37 ! [v0: $i] : ! [v1: $i] : ( ~ (inclusion_relation(v0) = v1) | ~ $i(v0) | % 62.47/9.37 antisymmetric(v1)) % 62.47/9.37 % 62.47/9.37 (t6_wellord2) % 62.47/9.37 ! [v0: $i] : ! [v1: $i] : ( ~ (inclusion_relation(v0) = v1) | ~ $i(v0) | ~ % 62.47/9.37 ordinal(v0) | well_founded_relation(v1)) % 62.47/9.37 % 62.47/9.37 (t7_wellord2) % 62.47/9.37 ? [v0: $i] : ? [v1: $i] : (inclusion_relation(v0) = v1 & $i(v1) & $i(v0) & % 62.47/9.37 ordinal(v0) & ~ well_ordering(v1)) % 62.47/9.37 % 62.47/9.37 Further assumptions not needed in the proof: % 62.47/9.37 -------------------------------------------- % 62.47/9.37 antisymmetry_r2_hidden, antisymmetry_r2_xboole_0, cc1_funct_1, cc1_ordinal1, % 62.47/9.37 cc1_relat_1, cc1_relset_1, cc2_funct_1, cc2_ordinal1, cc3_ordinal1, % 62.47/9.37 commutativity_k2_tarski, commutativity_k2_xboole_0, commutativity_k3_xboole_0, % 62.47/9.37 connectedness_r1_ordinal1, d10_relat_1, d10_xboole_0, d11_relat_1, d12_funct_1, % 62.47/9.37 d12_relat_1, d12_relat_2, d13_funct_1, d13_relat_1, d14_relat_1, d14_relat_2, % 62.47/9.37 d16_relat_2, d1_enumset1, d1_mcart_1, d1_ordinal1, d1_relat_1, d1_relat_2, % 62.47/9.37 d1_relset_1, d1_setfam_1, d1_tarski, d1_wellord1, d1_wellord2, d1_xboole_0, % 62.47/9.37 d1_zfmisc_1, d2_mcart_1, d2_ordinal1, d2_relat_1, d2_subset_1, d2_tarski, % 62.47/9.37 d2_wellord1, d2_xboole_0, d2_zfmisc_1, d3_ordinal1, d3_relat_1, d3_tarski, % 62.47/9.37 d3_wellord1, d3_xboole_0, d4_funct_1, d4_ordinal1, d4_relat_1, d4_relat_2, % 62.47/9.37 d4_subset_1, d4_tarski, d4_xboole_0, d5_funct_1, d5_relat_1, d5_subset_1, % 62.47/9.37 d5_tarski, d5_wellord1, d6_ordinal1, d6_relat_1, d6_relat_2, d6_wellord1, % 62.47/9.37 d7_relat_1, d7_wellord1, d7_xboole_0, d8_funct_1, d8_relat_1, d8_relat_2, % 62.47/9.37 d8_setfam_1, d8_xboole_0, d9_funct_1, d9_relat_2, dt_k10_relat_1, % 62.47/9.37 dt_k1_enumset1, dt_k1_funct_1, dt_k1_mcart_1, dt_k1_ordinal1, dt_k1_relat_1, % 62.47/9.37 dt_k1_setfam_1, dt_k1_tarski, dt_k1_wellord1, dt_k1_xboole_0, dt_k1_zfmisc_1, % 62.47/9.37 dt_k2_funct_1, dt_k2_mcart_1, dt_k2_relat_1, dt_k2_subset_1, dt_k2_tarski, % 62.47/9.37 dt_k2_wellord1, dt_k2_xboole_0, dt_k2_zfmisc_1, dt_k3_relat_1, dt_k3_subset_1, % 62.47/9.37 dt_k3_tarski, dt_k3_xboole_0, dt_k4_relat_1, dt_k4_relset_1, dt_k4_tarski, % 62.47/9.37 dt_k4_xboole_0, dt_k5_relat_1, dt_k5_relset_1, dt_k5_setfam_1, dt_k6_relat_1, % 62.47/9.37 dt_k6_setfam_1, dt_k6_subset_1, dt_k7_relat_1, dt_k7_setfam_1, dt_k8_relat_1, % 62.47/9.37 dt_k9_relat_1, dt_m1_relset_1, dt_m1_subset_1, dt_m2_relset_1, % 62.47/9.37 existence_m1_relset_1, existence_m1_subset_1, existence_m2_relset_1, % 62.47/9.37 fc10_relat_1, fc11_relat_1, fc12_relat_1, fc13_relat_1, fc1_funct_1, % 62.47/9.37 fc1_ordinal1, fc1_relat_1, fc1_subset_1, fc1_xboole_0, fc1_zfmisc_1, % 62.47/9.37 fc2_funct_1, fc2_ordinal1, fc2_relat_1, fc2_subset_1, fc2_xboole_0, fc3_funct_1, % 62.47/9.37 fc3_ordinal1, fc3_relat_1, fc3_subset_1, fc3_xboole_0, fc4_funct_1, % 62.47/9.37 fc4_ordinal1, fc4_relat_1, fc4_subset_1, fc5_funct_1, fc5_relat_1, fc6_relat_1, % 62.47/9.37 fc7_relat_1, fc8_relat_1, fc9_relat_1, idempotence_k2_xboole_0, % 62.47/9.37 idempotence_k3_xboole_0, involutiveness_k3_subset_1, involutiveness_k4_relat_1, % 62.47/9.37 involutiveness_k7_setfam_1, irreflexivity_r2_xboole_0, l1_wellord1, l1_zfmisc_1, % 62.47/9.37 l23_zfmisc_1, l25_zfmisc_1, l28_zfmisc_1, l29_wellord1, l2_wellord1, % 62.47/9.37 l2_zfmisc_1, l32_xboole_1, l3_subset_1, l3_wellord1, l3_zfmisc_1, l4_wellord1, % 62.47/9.37 l4_zfmisc_1, l50_zfmisc_1, l55_zfmisc_1, l71_subset_1, l82_funct_1, rc1_funct_1, % 62.47/9.37 rc1_ordinal1, rc1_relat_1, rc1_subset_1, rc1_xboole_0, rc2_funct_1, % 62.47/9.37 rc2_ordinal1, rc2_relat_1, rc2_subset_1, rc2_xboole_0, rc3_funct_1, % 62.47/9.37 rc3_ordinal1, rc3_relat_1, rc4_funct_1, redefinition_k4_relset_1, % 62.47/9.37 redefinition_k5_relset_1, redefinition_k5_setfam_1, redefinition_k6_setfam_1, % 62.47/9.37 redefinition_k6_subset_1, redefinition_m2_relset_1, redefinition_r1_ordinal1, % 62.47/9.37 reflexivity_r1_ordinal1, reflexivity_r1_tarski, s1_ordinal1__e8_6__wellord2, % 62.47/9.37 s1_tarski__e8_6__wellord2__1, s1_xboole_0__e8_6__wellord2__1, % 62.47/9.37 symmetry_r1_xboole_0, t106_zfmisc_1, t10_ordinal1, t10_zfmisc_1, t115_relat_1, % 62.47/9.37 t116_relat_1, t117_relat_1, t118_relat_1, t118_zfmisc_1, t119_relat_1, % 62.47/9.37 t119_zfmisc_1, t12_relset_1, t12_xboole_1, t136_zfmisc_1, t140_relat_1, % 62.47/9.37 t143_relat_1, t144_relat_1, t145_funct_1, t145_relat_1, t146_funct_1, % 62.47/9.37 t146_relat_1, t147_funct_1, t14_relset_1, t160_relat_1, t166_relat_1, % 62.47/9.37 t167_relat_1, t16_relset_1, t16_wellord1, t174_relat_1, t178_relat_1, % 62.47/9.38 t17_wellord1, t17_xboole_1, t18_wellord1, t19_wellord1, t19_xboole_1, t1_boole, % 62.47/9.38 t1_subset, t1_xboole_1, t1_zfmisc_1, t20_relat_1, t20_wellord1, t21_funct_1, % 62.47/9.38 t21_ordinal1, t21_relat_1, t21_wellord1, t22_funct_1, t22_relset_1, % 62.47/9.38 t22_wellord1, t23_funct_1, t23_ordinal1, t23_relset_1, t23_wellord1, % 62.47/9.38 t24_ordinal1, t24_wellord1, t25_relat_1, t25_wellord1, t26_xboole_1, % 62.47/9.38 t28_xboole_1, t2_boole, t2_subset, t2_tarski, t2_xboole_1, t30_relat_1, % 62.47/9.38 t31_ordinal1, t31_wellord1, t32_ordinal1, t32_wellord1, t33_ordinal1, % 62.47/9.38 t33_xboole_1, t33_zfmisc_1, t34_funct_1, t35_funct_1, t36_xboole_1, t37_relat_1, % 62.47/9.38 t37_xboole_1, t37_zfmisc_1, t38_zfmisc_1, t39_wellord1, t39_xboole_1, % 62.47/9.38 t39_zfmisc_1, t3_boole, t3_ordinal1, t3_subset, t3_xboole_0, t3_xboole_1, % 62.47/9.38 t40_xboole_1, t41_ordinal1, t42_ordinal1, t43_subset_1, t44_relat_1, % 62.47/9.38 t45_relat_1, t45_xboole_1, t46_relat_1, t46_setfam_1, t46_zfmisc_1, t47_relat_1, % 62.47/9.38 t47_setfam_1, t48_setfam_1, t48_xboole_1, t49_wellord1, t4_boole, t4_subset, % 62.47/9.38 t4_xboole_0, t50_subset_1, t53_wellord1, t54_funct_1, t54_subset_1, % 62.47/9.38 t54_wellord1, t55_funct_1, t56_relat_1, t57_funct_1, t5_subset, t5_wellord1, % 62.47/9.38 t60_relat_1, t60_xboole_1, t62_funct_1, t63_xboole_1, t64_relat_1, t65_relat_1, % 62.47/9.38 t65_zfmisc_1, t68_funct_1, t69_enumset1, t6_boole, t6_zfmisc_1, t70_funct_1, % 62.47/9.38 t71_relat_1, t72_funct_1, t74_relat_1, t7_boole, t7_mcart_1, t7_tarski, % 62.47/9.38 t7_xboole_1, t83_xboole_1, t86_relat_1, t88_relat_1, t8_boole, t8_funct_1, % 62.47/9.38 t8_wellord1, t8_xboole_1, t8_zfmisc_1, t90_relat_1, t92_zfmisc_1, t94_relat_1, % 62.47/9.38 t99_relat_1, t99_zfmisc_1, t9_tarski, t9_zfmisc_1 % 62.47/9.38 % 62.47/9.38 Those formulas are unsatisfiable: % 62.47/9.38 --------------------------------- % 62.47/9.38 % 62.47/9.38 Begin of proof % 62.47/9.38 | % 62.47/9.38 | ALPHA: (d4_wellord1) implies: % 62.47/9.38 | (1) ! [v0: $i] : ( ~ $i(v0) | ~ reflexive(v0) | ~ % 62.47/9.38 | well_founded_relation(v0) | ~ transitive(v0) | ~ connected(v0) | ~ % 62.47/9.38 | antisymmetric(v0) | ~ relation(v0) | well_ordering(v0)) % 62.47/9.38 | % 62.47/9.38 | DELTA: instantiating (t7_wellord2) with fresh symbols all_322_0, all_322_1 % 62.47/9.38 | gives: % 62.47/9.38 | (2) inclusion_relation(all_322_1) = all_322_0 & $i(all_322_0) & % 62.47/9.38 | $i(all_322_1) & ordinal(all_322_1) & ~ well_ordering(all_322_0) % 62.47/9.38 | % 62.47/9.38 | ALPHA: (2) implies: % 62.47/9.38 | (3) ~ well_ordering(all_322_0) % 62.47/9.39 | (4) ordinal(all_322_1) % 62.47/9.39 | (5) $i(all_322_1) % 62.47/9.39 | (6) $i(all_322_0) % 62.47/9.39 | (7) inclusion_relation(all_322_1) = all_322_0 % 62.47/9.39 | % 62.47/9.39 | GROUND_INST: instantiating (t6_wellord2) with all_322_1, all_322_0, % 62.47/9.39 | simplifying with (4), (5), (7) gives: % 62.47/9.39 | (8) well_founded_relation(all_322_0) % 62.47/9.39 | % 62.47/9.39 | GROUND_INST: instantiating (t4_wellord2) with all_322_1, all_322_0, % 62.47/9.39 | simplifying with (4), (5), (7) gives: % 62.47/9.39 | (9) connected(all_322_0) % 62.47/9.39 | % 62.47/9.39 | GROUND_INST: instantiating (t2_wellord2) with all_322_1, all_322_0, % 62.47/9.39 | simplifying with (5), (7) gives: % 62.47/9.39 | (10) reflexive(all_322_0) % 62.47/9.39 | % 62.47/9.39 | GROUND_INST: instantiating (t3_wellord2) with all_322_1, all_322_0, % 62.47/9.39 | simplifying with (5), (7) gives: % 62.47/9.39 | (11) transitive(all_322_0) % 62.47/9.39 | % 62.47/9.39 | GROUND_INST: instantiating (t5_wellord2) with all_322_1, all_322_0, % 62.47/9.39 | simplifying with (5), (7) gives: % 62.47/9.39 | (12) antisymmetric(all_322_0) % 62.47/9.39 | % 62.47/9.39 | GROUND_INST: instantiating (dt_k1_wellord2) with all_322_1, all_322_0, % 62.47/9.39 | simplifying with (5), (7) gives: % 62.47/9.39 | (13) relation(all_322_0) % 62.47/9.39 | % 62.47/9.39 | GROUND_INST: instantiating (1) with all_322_0, simplifying with (3), (6), (8), % 62.47/9.39 | (9), (10), (11), (12), (13) gives: % 62.47/9.39 | (14) $false % 62.47/9.39 | % 62.47/9.39 | CLOSE: (14) is inconsistent. % 62.47/9.39 | % 62.47/9.39 End of proof % 62.47/9.40 % SZS output end Proof for theBenchmark % 62.47/9.40 % 62.47/9.40 8768ms %------------------------------------------------------------------------------