%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SEU217+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 : n020.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 17:43:20 EDT 2023 % Result : Theorem 28.07s 4.59s % Output : Proof 41.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU217+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 : n020.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 13:22:30 EDT 2023 % 0.13/0.34 % 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 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 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 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 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 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 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 % 4.83/1.53 Prover 1: Preprocessing ... % 4.83/1.53 Prover 4: Preprocessing ... % 5.52/1.56 Prover 6: Preprocessing ... % 5.52/1.56 Prover 5: Preprocessing ... % 5.52/1.56 Prover 2: Preprocessing ... % 5.52/1.56 Prover 3: Preprocessing ... % 5.52/1.56 Prover 0: Preprocessing ... % 18.43/3.25 Prover 1: Warning: ignoring some quantifiers % 18.70/3.31 Prover 3: Warning: ignoring some quantifiers % 19.10/3.34 Prover 3: Constructing countermodel ... % 19.19/3.35 Prover 1: Constructing countermodel ... % 19.19/3.35 Prover 6: Proving ... % 19.19/3.39 Prover 5: Proving ... % 20.24/3.68 Prover 2: Proving ... % 21.99/3.77 Prover 4: Warning: ignoring some quantifiers % 22.76/3.87 Prover 4: Constructing countermodel ... % 23.23/3.90 Prover 0: Proving ... % 28.07/4.59 Prover 3: proved (3959ms) % 28.07/4.59 % 28.07/4.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 28.07/4.59 % 28.07/4.59 Prover 6: stopped % 28.53/4.61 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 28.53/4.61 Prover 5: stopped % 28.53/4.61 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 28.53/4.61 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 28.53/4.62 Prover 0: stopped % 28.53/4.62 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 28.93/4.66 Prover 2: stopped % 28.93/4.68 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 30.31/4.92 Prover 7: Preprocessing ... % 30.31/4.93 Prover 8: Preprocessing ... % 30.31/4.99 Prover 10: Preprocessing ... % 30.31/5.00 Prover 11: Preprocessing ... % 30.99/5.01 Prover 13: Preprocessing ... % 34.26/5.45 Prover 8: Warning: ignoring some quantifiers % 35.05/5.47 Prover 7: Warning: ignoring some quantifiers % 35.05/5.49 Prover 8: Constructing countermodel ... % 35.28/5.51 Prover 7: Constructing countermodel ... % 35.63/5.55 Prover 10: Warning: ignoring some quantifiers % 35.63/5.60 Prover 10: Constructing countermodel ... % 36.17/5.75 Prover 13: Warning: ignoring some quantifiers % 37.96/5.85 Prover 13: Constructing countermodel ... % 38.65/6.00 Prover 11: Warning: ignoring some quantifiers % 39.41/6.06 Prover 11: Constructing countermodel ... % 41.35/6.40 Prover 10: Found proof (size 11) % 41.35/6.41 Prover 10: proved (1792ms) % 41.35/6.41 Prover 11: stopped % 41.35/6.41 Prover 8: stopped % 41.35/6.41 Prover 7: stopped % 41.35/6.41 Prover 13: stopped % 41.35/6.41 Prover 4: stopped % 41.35/6.41 Prover 1: stopped % 41.35/6.41 % 41.35/6.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 41.35/6.41 % 41.35/6.41 % SZS output start Proof for theBenchmark % 41.35/6.42 Assumptions after simplification: % 41.35/6.42 --------------------------------- % 41.35/6.42 % 41.35/6.42 (fc2_funct_1) % 41.35/6.45 ! [v0: $i] : ! [v1: $i] : ( ~ (identity_relation(v0) = v1) | ~ $i(v0) | % 41.35/6.45 relation(v1)) & ! [v0: $i] : ! [v1: $i] : ( ~ (identity_relation(v0) = v1) % 41.35/6.45 | ~ $i(v0) | function(v1)) % 41.35/6.45 % 41.35/6.45 (t34_funct_1) % 41.35/6.45 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v3 % 41.35/6.45 | ~ (relation_dom(v1) = v2) | ~ (apply(v1, v3) = v4) | ~ % 41.35/6.45 (identity_relation(v0) = v1) | ~ $i(v3) | ~ $i(v1) | ~ $i(v0) | ~ % 41.35/6.45 relation(v1) | ~ function(v1) | ~ in(v3, v0)) & ! [v0: $i] : ! [v1: $i] % 41.35/6.45 : ! [v2: $i] : (v2 = v1 | ~ (relation_dom(v1) = v0) | ~ % 41.35/6.45 (identity_relation(v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~ relation(v1) | ~ % 41.35/6.45 function(v1) | ? [v3: $i] : ? [v4: $i] : ( ~ (v4 = v3) & apply(v1, v3) = % 41.35/6.45 v4 & $i(v4) & $i(v3) & in(v3, v0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 41.35/6.45 $i] : (v2 = v0 | ~ (relation_dom(v1) = v2) | ~ (identity_relation(v0) = % 41.35/6.45 v1) | ~ $i(v1) | ~ $i(v0) | ~ relation(v1) | ~ function(v1)) % 41.35/6.45 % 41.35/6.45 (t35_funct_1) % 41.35/6.45 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ( ~ (v3 = v1) & % 41.35/6.45 apply(v2, v1) = v3 & identity_relation(v0) = v2 & $i(v3) & $i(v2) & $i(v1) & % 41.35/6.45 $i(v0) & in(v1, v0)) % 41.35/6.45 % 41.35/6.45 (t71_relat_1) % 41.35/6.45 ! [v0: $i] : ! [v1: $i] : ( ~ (identity_relation(v0) = v1) | ~ $i(v0) | % 41.35/6.45 relation_rng(v1) = v0) & ! [v0: $i] : ! [v1: $i] : ( ~ % 41.35/6.45 (identity_relation(v0) = v1) | ~ $i(v0) | relation_dom(v1) = v0) % 41.35/6.45 % 41.35/6.45 Further assumptions not needed in the proof: % 41.35/6.45 -------------------------------------------- % 41.35/6.45 antisymmetry_r2_hidden, antisymmetry_r2_xboole_0, cc1_funct_1, cc1_relat_1, % 41.35/6.45 commutativity_k2_tarski, commutativity_k2_xboole_0, commutativity_k3_xboole_0, % 41.35/6.45 d10_relat_1, d10_xboole_0, d11_relat_1, d12_relat_1, d13_relat_1, d14_relat_1, % 41.35/6.45 d1_relat_1, d1_setfam_1, d1_tarski, d1_xboole_0, d1_zfmisc_1, d2_relat_1, % 41.35/6.45 d2_subset_1, d2_tarski, d2_xboole_0, d2_zfmisc_1, d3_relat_1, d3_tarski, % 41.35/6.46 d3_xboole_0, d4_funct_1, d4_relat_1, d4_subset_1, d4_tarski, d4_xboole_0, % 41.35/6.46 d5_relat_1, d5_subset_1, d5_tarski, d6_relat_1, d7_relat_1, d7_xboole_0, % 41.35/6.46 d8_relat_1, d8_setfam_1, d8_xboole_0, dt_k10_relat_1, dt_k1_funct_1, % 41.35/6.46 dt_k1_relat_1, dt_k1_setfam_1, dt_k1_tarski, dt_k1_xboole_0, dt_k1_zfmisc_1, % 41.35/6.46 dt_k2_relat_1, dt_k2_subset_1, dt_k2_tarski, dt_k2_xboole_0, dt_k2_zfmisc_1, % 41.35/6.46 dt_k3_relat_1, dt_k3_subset_1, dt_k3_tarski, dt_k3_xboole_0, dt_k4_relat_1, % 41.35/6.46 dt_k4_tarski, dt_k4_xboole_0, dt_k5_relat_1, dt_k5_setfam_1, dt_k6_relat_1, % 41.35/6.46 dt_k6_setfam_1, dt_k6_subset_1, dt_k7_relat_1, dt_k7_setfam_1, dt_k8_relat_1, % 41.35/6.46 dt_k9_relat_1, dt_m1_subset_1, existence_m1_subset_1, fc10_relat_1, % 41.35/6.46 fc12_relat_1, fc1_funct_1, fc1_relat_1, fc1_subset_1, fc1_xboole_0, % 41.35/6.46 fc1_zfmisc_1, fc2_relat_1, fc2_subset_1, fc2_xboole_0, fc3_subset_1, % 41.35/6.46 fc3_xboole_0, fc4_relat_1, fc4_subset_1, fc5_relat_1, fc6_relat_1, fc7_relat_1, % 41.35/6.46 fc8_relat_1, fc9_relat_1, idempotence_k2_xboole_0, idempotence_k3_xboole_0, % 41.35/6.46 involutiveness_k3_subset_1, involutiveness_k4_relat_1, % 41.35/6.46 involutiveness_k7_setfam_1, irreflexivity_r2_xboole_0, l1_zfmisc_1, % 41.35/6.46 l23_zfmisc_1, l25_zfmisc_1, l28_zfmisc_1, l2_zfmisc_1, l32_xboole_1, % 41.35/6.46 l3_subset_1, l3_zfmisc_1, l4_zfmisc_1, l50_zfmisc_1, l55_zfmisc_1, l71_subset_1, % 41.35/6.46 rc1_funct_1, rc1_relat_1, rc1_subset_1, rc1_xboole_0, rc2_relat_1, rc2_subset_1, % 41.35/6.46 rc2_xboole_0, rc3_relat_1, redefinition_k5_setfam_1, redefinition_k6_setfam_1, % 41.35/6.46 redefinition_k6_subset_1, reflexivity_r1_tarski, symmetry_r1_xboole_0, % 41.35/6.46 t106_zfmisc_1, t10_zfmisc_1, t115_relat_1, t116_relat_1, t117_relat_1, % 41.35/6.46 t118_relat_1, t118_zfmisc_1, t119_relat_1, t119_zfmisc_1, t12_xboole_1, % 41.35/6.46 t136_zfmisc_1, t140_relat_1, t143_relat_1, t144_relat_1, t145_relat_1, % 41.35/6.46 t146_relat_1, t160_relat_1, t166_relat_1, t167_relat_1, t174_relat_1, % 41.35/6.46 t178_relat_1, t17_xboole_1, t19_xboole_1, t1_boole, t1_subset, t1_xboole_1, % 41.35/6.46 t1_zfmisc_1, t20_relat_1, t21_funct_1, t21_relat_1, t22_funct_1, t23_funct_1, % 41.35/6.46 t25_relat_1, t26_xboole_1, t28_xboole_1, t2_boole, t2_subset, t2_tarski, % 41.35/6.46 t2_xboole_1, t30_relat_1, t33_xboole_1, t33_zfmisc_1, t36_xboole_1, t37_relat_1, % 41.35/6.46 t37_xboole_1, t37_zfmisc_1, t38_zfmisc_1, t39_xboole_1, t39_zfmisc_1, t3_boole, % 41.35/6.46 t3_subset, t3_xboole_0, t3_xboole_1, t40_xboole_1, t43_subset_1, t44_relat_1, % 41.35/6.46 t45_relat_1, t45_xboole_1, t46_relat_1, t46_setfam_1, t46_zfmisc_1, t47_relat_1, % 41.35/6.46 t47_setfam_1, t48_setfam_1, t48_xboole_1, t4_boole, t4_subset, t4_xboole_0, % 41.35/6.46 t50_subset_1, t54_subset_1, t56_relat_1, t5_subset, t60_relat_1, t60_xboole_1, % 41.35/6.46 t63_xboole_1, t64_relat_1, t65_relat_1, t65_zfmisc_1, t69_enumset1, t6_boole, % 41.35/6.46 t6_zfmisc_1, t74_relat_1, t7_boole, t7_xboole_1, t83_xboole_1, t86_relat_1, % 41.35/6.46 t88_relat_1, t8_boole, t8_funct_1, t8_xboole_1, t8_zfmisc_1, t90_relat_1, % 41.35/6.46 t92_zfmisc_1, t94_relat_1, t99_relat_1, t99_zfmisc_1, t9_tarski, t9_zfmisc_1 % 41.35/6.46 % 41.35/6.46 Those formulas are unsatisfiable: % 41.35/6.46 --------------------------------- % 41.35/6.46 % 41.35/6.46 Begin of proof % 41.35/6.46 | % 41.35/6.46 | ALPHA: (fc2_funct_1) implies: % 41.35/6.46 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (identity_relation(v0) = v1) | ~ % 41.35/6.46 | $i(v0) | function(v1)) % 41.35/6.46 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (identity_relation(v0) = v1) | ~ % 41.35/6.46 | $i(v0) | relation(v1)) % 41.35/6.46 | % 41.35/6.46 | ALPHA: (t34_funct_1) implies: % 41.35/6.46 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 41.35/6.46 | (v4 = v3 | ~ (relation_dom(v1) = v2) | ~ (apply(v1, v3) = v4) | ~ % 41.35/6.46 | (identity_relation(v0) = v1) | ~ $i(v3) | ~ $i(v1) | ~ $i(v0) | ~ % 41.35/6.46 | relation(v1) | ~ function(v1) | ~ in(v3, v0)) % 41.35/6.46 | % 41.35/6.46 | ALPHA: (t71_relat_1) implies: % 41.35/6.46 | (4) ! [v0: $i] : ! [v1: $i] : ( ~ (identity_relation(v0) = v1) | ~ % 41.35/6.46 | $i(v0) | relation_dom(v1) = v0) % 41.35/6.46 | % 41.35/6.46 | DELTA: instantiating (t35_funct_1) with fresh symbols all_210_0, all_210_1, % 41.35/6.46 | all_210_2, all_210_3 gives: % 41.35/6.46 | (5) ~ (all_210_0 = all_210_2) & apply(all_210_1, all_210_2) = all_210_0 & % 41.35/6.46 | identity_relation(all_210_3) = all_210_1 & $i(all_210_0) & % 41.35/6.46 | $i(all_210_1) & $i(all_210_2) & $i(all_210_3) & in(all_210_2, % 41.35/6.46 | all_210_3) % 41.35/6.46 | % 41.35/6.46 | ALPHA: (5) implies: % 41.35/6.46 | (6) ~ (all_210_0 = all_210_2) % 41.35/6.46 | (7) in(all_210_2, all_210_3) % 41.35/6.46 | (8) $i(all_210_3) % 41.35/6.46 | (9) $i(all_210_2) % 41.35/6.46 | (10) $i(all_210_1) % 41.35/6.46 | (11) identity_relation(all_210_3) = all_210_1 % 41.35/6.46 | (12) apply(all_210_1, all_210_2) = all_210_0 % 41.35/6.46 | % 41.35/6.47 | GROUND_INST: instantiating (4) with all_210_3, all_210_1, simplifying with % 41.35/6.47 | (8), (11) gives: % 41.35/6.47 | (13) relation_dom(all_210_1) = all_210_3 % 41.35/6.47 | % 41.35/6.47 | GROUND_INST: instantiating (2) with all_210_3, all_210_1, simplifying with % 41.35/6.47 | (8), (11) gives: % 41.35/6.47 | (14) relation(all_210_1) % 41.35/6.47 | % 41.35/6.47 | GROUND_INST: instantiating (1) with all_210_3, all_210_1, simplifying with % 41.35/6.47 | (8), (11) gives: % 41.35/6.47 | (15) function(all_210_1) % 41.35/6.47 | % 41.35/6.47 | GROUND_INST: instantiating (3) with all_210_3, all_210_1, all_210_3, % 41.35/6.47 | all_210_2, all_210_0, simplifying with (7), (8), (9), (10), (11), % 41.35/6.47 | (12), (13), (14), (15) gives: % 41.35/6.47 | (16) all_210_0 = all_210_2 % 41.35/6.47 | % 41.35/6.47 | REDUCE: (6), (16) imply: % 41.35/6.47 | (17) $false % 41.35/6.47 | % 41.35/6.47 | CLOSE: (17) is inconsistent. % 41.35/6.47 | % 41.35/6.47 End of proof % 41.35/6.47 % SZS output end Proof for theBenchmark % 41.35/6.47 % 41.35/6.47 5864ms %------------------------------------------------------------------------------