%------------------------------------------------------------------------------ % File : DT2H2X---1.9.5 % Problem : LCL947^10 : TPTP v9.3.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % Computer : n010.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:35:14 AM UTC 2026 % Result : CounterSatisfiable 0.18s 0.46s % Output : Saturation 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL947^10 : TPTP v9.3.1. Released v8.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % 0.10/0.36 % Computer : n010.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Sat Sep 5 21:22:39 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.37 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % 0.10/0.39 ---- Original DTF file --- % 0.10/0.39 thf(spec,logic,$$dhol). % 0.10/0.39 %------------------------------------------------------------------------------ % 0.10/0.39 % File : LCL947^10 : TPTP v9.3.1. Released v8.1.0. % 0.10/0.39 % Domain : Logic Calculi % 0.10/0.39 % Problem : Goedel translation of SET002+3 (from TPTP-v5.0.0) % 0.10/0.39 % Version : [BP13] axioms. % 0.10/0.39 % English : % 0.10/0.39 % 0.10/0.39 % Refs : [RO12] Raths & Otten (2012), The QMLTP Problem Library for Fi % 0.10/0.39 % : [BP13] Benzmueller & Paulson (2013), Quantified Multimodal Lo % 0.10/0.39 % : [Ste22] Steen (2022), An Extensible Logic Embedding Tool for L % 0.10/0.39 % Source : [TPTP] % 0.10/0.39 % Names : GSE002+3 [QMLTP] % 0.10/0.39 % 0.10/0.39 % Status : Theorem % 0.10/0.39 % Rating : 0.08 v9.3.0, 0.11 v9.1.0, 0.12 v9.0.0, 0.10 v8.2.0, 0.23 v8.1.0 % 0.10/0.39 % Syntax : Number of formulae : 48 ( 12 unt; 18 typ; 10 def) % 0.10/0.39 % Number of atoms : 303 ( 10 equ; 0 cnn) % 0.10/0.39 % Maximal formula atoms : 44 ( 10 avg) % 0.10/0.39 % Number of connectives : 432 ( 1 ~; 1 |; 4 &; 421 @) % 0.10/0.39 % ( 1 <=>; 4 =>; 0 <=; 0 <~>) % 0.10/0.39 % Maximal formula depth : 23 ( 10 avg) % 0.10/0.39 % Number of types : 3 ( 1 usr) % 0.10/0.39 % Number of type conns : 70 ( 70 >; 0 *; 0 +; 0 <<) % 0.10/0.39 % Number of symbols : 18 ( 17 usr; 1 con; 0-3 aty) % 0.10/0.39 % Number of variables : 76 ( 66 ^; 7 !; 3 ?; 76 :) % 0.10/0.39 % SPC : TH0_THM_EQU_NAR_NDT % 0.10/0.39 % 0.10/0.39 % Comments : This output was generated by embedproblem, version 1.7.1 (library % 0.10/0.39 % version 1.3). Generated on Thu Apr 28 13:18:18 EDT 2022 using % 0.10/0.39 % 'modal' embedding, version 1.5.2. Logic specification used: % 0.10/0.39 % $modal == [$constants == $rigid,$quantification == $varying, % 0.10/0.39 % $modalities == $modal_system_S4]. % 0.10/0.39 %------------------------------------------------------------------------------ % 0.10/0.39 thf(mworld,type, % 0.10/0.39 mworld: $tType ). % 0.10/0.39 % 0.10/0.39 thf(mrel_type,type, % 0.10/0.39 mrel: mworld > mworld > $o ). % 0.10/0.39 % 0.10/0.39 thf(mactual_type,type, % 0.10/0.39 mactual: mworld ). % 0.10/0.39 % 0.10/0.39 thf(mlocal_type,type, % 0.10/0.39 mlocal: ( mworld > $o ) > $o ). % 0.10/0.39 % 0.10/0.39 thf(mlocal_def,definition, % 0.10/0.39 ( mlocal % 0.10/0.39 = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ). % 0.10/0.39 % 0.10/0.39 thf(mnot_type,type, % 0.10/0.39 mnot: ( mworld > $o ) > mworld > $o ). % 0.10/0.39 % 0.10/0.39 thf(mand_type,type, % 0.10/0.39 mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ). % 0.10/0.39 % 0.10/0.39 thf(mor_type,type, % 0.10/0.39 mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ). % 0.10/0.39 % 0.10/0.39 thf(mimplies_type,type, % 0.10/0.39 mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ). % 0.10/0.39 % 0.10/0.39 thf(mequiv_type,type, % 0.10/0.39 mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ). % 0.10/0.39 % 0.10/0.39 thf(mnot_def,definition, % 0.10/0.39 ( mnot % 0.10/0.39 = ( ^ [A: mworld > $o,W: mworld] : % 0.10/0.39 ~ ( A @ W ) ) ) ). % 0.10/0.39 % 0.10/0.39 thf(mand_def,definition, % 0.10/0.39 ( mand % 0.10/0.39 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] : % 0.10/0.39 ( ( A @ W ) % 0.10/0.39 & ( B @ W ) ) ) ) ). % 0.10/0.39 % 0.10/0.39 thf(mor_def,definition, % 0.10/0.39 ( mor % 0.10/0.39 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] : % 0.10/0.39 ( ( A @ W ) % 0.10/0.39 | ( B @ W ) ) ) ) ). % 0.10/0.39 % 0.10/0.39 thf(mimplies_def,definition, % 0.10/0.39 ( mimplies % 0.10/0.39 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] : % 0.10/0.39 ( ( A @ W ) % 0.10/0.39 => ( B @ W ) ) ) ) ). % 0.10/0.39 % 0.10/0.39 thf(mequiv_def,definition, % 0.10/0.39 ( mequiv % 0.10/0.39 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] : % 0.10/0.39 ( ( A @ W ) % 0.10/0.39 <=> ( B @ W ) ) ) ) ). % 0.10/0.39 % 0.10/0.39 thf(mbox_type,type, % 0.10/0.39 mbox: ( mworld > $o ) > mworld > $o ). % 0.10/0.39 % 0.10/0.39 thf(mbox_def,definition, % 0.10/0.39 ( mbox % 0.10/0.39 = ( ^ [Phi: mworld > $o,W: mworld] : % 0.10/0.39 ! [V: mworld] : % 0.10/0.39 ( ( mrel @ W @ V ) % 0.10/0.39 => ( Phi @ V ) ) ) ) ). % 0.10/0.39 % 0.10/0.39 thf(mdia_type,type, % 0.10/0.39 mdia: ( mworld > $o ) > mworld > $o ). % 0.10/0.39 % 0.10/0.39 thf(mdia_def,definition, % 0.10/0.39 ( mdia % 0.10/0.39 = ( ^ [Phi: mworld > $o,W: mworld] : % 0.10/0.39 ? [V: mworld] : % 0.10/0.39 ( ( mrel @ W @ V ) % 0.10/0.39 & ( Phi @ V ) ) ) ) ). % 0.10/0.39 % 0.10/0.39 thf(mrel_reflexive,axiom, % 0.10/0.39 ! [W: mworld] : ( mrel @ W @ W ) ). % 0.10/0.39 % 0.10/0.39 thf(mrel_transitive,axiom, % 0.10/0.39 ! [W: mworld,V: mworld,U: mworld] : % 0.10/0.39 ( ( ( mrel @ W @ V ) % 0.10/0.39 & ( mrel @ V @ U ) ) % 0.10/0.39 => ( mrel @ W @ U ) ) ). % 0.10/0.39 % 0.10/0.39 thf(eiw_di_type,type, % 0.10/0.39 eiw_di: $i > mworld > $o ). % 0.10/0.39 % 0.10/0.39 thf(eiw_di_nonempty,axiom, % 0.10/0.39 ! [W: mworld] : % 0.10/0.39 ? [X: $i] : ( eiw_di @ X @ W ) ). % 0.10/0.39 % 0.10/0.39 thf(mforall_di_type,type, % 0.10/0.39 mforall_di: ( $i > mworld > $o ) > mworld > $o ). % 0.10/0.40 % 0.10/0.40 thf(mforall_di_def,definition, % 0.10/0.40 ( mforall_di % 0.10/0.40 = ( ^ [A: $i > mworld > $o,W: mworld] : % 0.10/0.40 ! [X: $i] : % 0.10/0.40 ( ( eiw_di @ X @ W ) % 0.10/0.40 => ( A @ X @ W ) ) ) ) ). % 0.10/0.40 % 0.10/0.40 thf(mexists_di_type,type, % 0.10/0.40 mexists_di: ( $i > mworld > $o ) > mworld > $o ). % 0.10/0.40 % 0.10/0.40 thf(mexists_di_def,definition, % 0.10/0.40 ( mexists_di % 0.10/0.40 = ( ^ [A: $i > mworld > $o,W: mworld] : % 0.10/0.40 ? [X: $i] : % 0.10/0.40 ( ( eiw_di @ X @ W ) % 0.10/0.40 & ( A @ X @ W ) ) ) ) ). % 0.10/0.40 % 0.10/0.40 thf(qmltpeq_decl,type, % 0.10/0.40 qmltpeq: $i > $i > mworld > $o ). % 0.10/0.40 % 0.10/0.40 thf(member_decl,type, % 0.10/0.40 member: $i > $i > mworld > $o ). % 0.10/0.40 % 0.10/0.40 thf(subset_decl,type, % 0.10/0.40 subset: $i > $i > mworld > $o ). % 0.10/0.40 % 0.10/0.40 thf(union_decl,type, % 0.10/0.40 union: $i > $i > $i ). % 0.10/0.40 % 0.10/0.40 thf(reflexivity,axiom, % 0.10/0.40 ( mlocal % 0.10/0.40 @ ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [X: $i] : ( mbox @ ( qmltpeq @ X @ X ) ) ) ) ) ). % 0.10/0.40 % 0.10/0.40 thf(symmetry,axiom, % 0.10/0.40 ( mlocal % 0.10/0.40 @ ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [X: $i] : % 0.10/0.40 ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [Y: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ X @ Y ) ) @ ( mbox @ ( qmltpeq @ Y @ X ) ) ) ) ) ) ) ) ) ). % 0.10/0.40 % 0.10/0.40 thf(transitivity,axiom, % 0.10/0.40 ( mlocal % 0.10/0.40 @ ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [X: $i] : % 0.10/0.40 ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [Y: $i] : % 0.10/0.40 ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [Z: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ X @ Y ) ) @ ( mbox @ ( qmltpeq @ Y @ Z ) ) ) @ ( mbox @ ( qmltpeq @ X @ Z ) ) ) ) ) ) ) ) ) ) ) ). % 0.10/0.40 % 0.10/0.40 thf(union_substitution_1,axiom, % 0.10/0.40 ( mlocal % 0.10/0.40 @ ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [A: $i] : % 0.10/0.40 ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [B: $i] : % 0.10/0.40 ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( union @ A @ C ) @ ( union @ B @ C ) ) ) ) ) ) ) ) ) ) ) ) ). % 0.10/0.40 % 0.10/0.40 thf(union_substitution_2,axiom, % 0.10/0.40 ( mlocal % 0.10/0.40 @ ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [A: $i] : % 0.10/0.40 ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [B: $i] : % 0.10/0.40 ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( union @ C @ A ) @ ( union @ C @ B ) ) ) ) ) ) ) ) ) ) ) ) ). % 0.10/0.40 % 0.10/0.40 thf(member_substitution_1,axiom, % 0.10/0.40 ( mlocal % 0.10/0.40 @ ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [A: $i] : % 0.10/0.40 ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [B: $i] : % 0.10/0.40 ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( member @ A @ C ) ) ) @ ( mbox @ ( member @ B @ C ) ) ) ) ) ) ) ) ) ) ) ). % 0.10/0.40 % 0.10/0.40 thf(member_substitution_2,axiom, % 0.10/0.40 ( mlocal % 0.10/0.40 @ ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [A: $i] : % 0.10/0.40 ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [B: $i] : % 0.10/0.40 ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( member @ C @ A ) ) ) @ ( mbox @ ( member @ C @ B ) ) ) ) ) ) ) ) ) ) ) ). % 0.10/0.40 % 0.10/0.40 thf(subset_substitution_1,axiom, % 0.10/0.40 ( mlocal % 0.10/0.40 @ ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [A: $i] : % 0.10/0.40 ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [B: $i] : % 0.10/0.40 ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( subset @ A @ C ) ) ) @ ( mbox @ ( subset @ B @ C ) ) ) ) ) ) ) ) ) ) ) ). % 0.10/0.40 % 0.10/0.40 thf(subset_substitution_2,axiom, % 0.10/0.40 ( mlocal % 0.10/0.40 @ ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [A: $i] : % 0.10/0.40 ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [B: $i] : % 0.10/0.40 ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( subset @ C @ A ) ) ) @ ( mbox @ ( subset @ C @ B ) ) ) ) ) ) ) ) ) ) ) ). % 0.10/0.40 % 0.10/0.40 thf(subset_union,axiom, % 0.10/0.40 ( mlocal % 0.10/0.40 @ ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [B: $i] : % 0.10/0.40 ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( subset @ B @ C ) ) @ ( mbox @ ( qmltpeq @ ( union @ B @ C ) @ C ) ) ) ) ) ) ) ) ) ). % 0.10/0.40 % 0.10/0.40 thf(union_defn,axiom, % 0.10/0.40 ( mlocal % 0.10/0.40 @ ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [B: $i] : % 0.10/0.40 ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [C: $i] : % 0.10/0.40 ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [D: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ D @ ( union @ B @ C ) ) ) @ ( mor @ ( mbox @ ( member @ D @ B ) ) @ ( mbox @ ( member @ D @ C ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mor @ ( mbox @ ( member @ D @ B ) ) @ ( mbox @ ( member @ D @ C ) ) ) @ ( mbox @ ( member @ D @ ( union @ B @ C ) ) ) ) ) ) ) ) ) ) ) ) ) ). % 0.10/0.40 % 0.10/0.40 thf(equal_defn,axiom, % 0.10/0.40 ( mlocal % 0.10/0.40 @ ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [B: $i] : % 0.10/0.40 ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [C: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ B @ C ) ) @ ( mand @ ( mbox @ ( subset @ B @ C ) ) @ ( mbox @ ( subset @ C @ B ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( subset @ B @ C ) ) @ ( mbox @ ( subset @ C @ B ) ) ) @ ( mbox @ ( qmltpeq @ B @ C ) ) ) ) ) ) ) ) ) ) ). % 0.10/0.40 % 0.10/0.40 thf(commutativity_of_union,axiom, % 0.10/0.40 ( mlocal % 0.10/0.40 @ ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [B: $i] : % 0.10/0.40 ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [C: $i] : ( mbox @ ( qmltpeq @ ( union @ B @ C ) @ ( union @ C @ B ) ) ) ) ) ) ) ) ). % 0.10/0.40 % 0.10/0.40 thf(subset_defn,axiom, % 0.10/0.40 ( mlocal % 0.10/0.40 @ ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [B: $i] : % 0.10/0.40 ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [C: $i] : % 0.10/0.40 ( mand % 0.10/0.40 @ ( mbox % 0.10/0.40 @ ( mimplies @ ( mbox @ ( subset @ B @ C ) ) % 0.10/0.40 @ ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [D: $i] : ( mbox @ ( mimplies @ ( mbox @ ( member @ D @ B ) ) @ ( mbox @ ( member @ D @ C ) ) ) ) ) ) ) ) % 0.10/0.40 @ ( mbox % 0.10/0.40 @ ( mimplies % 0.10/0.40 @ ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [D: $i] : ( mbox @ ( mimplies @ ( mbox @ ( member @ D @ B ) ) @ ( mbox @ ( member @ D @ C ) ) ) ) ) ) % 0.10/0.40 @ ( mbox @ ( subset @ B @ C ) ) ) ) ) ) ) ) ) ) ). % 0.10/0.40 % 0.10/0.40 thf(reflexivity_of_subset,axiom, % 0.10/0.40 ( mlocal % 0.10/0.40 @ ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [B: $i] : ( mbox @ ( subset @ B @ B ) ) ) ) ) ). % 0.10/0.40 % 0.10/0.40 thf(equal_member_defn,axiom, % 0.10/0.40 ( mlocal % 0.10/0.40 @ ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [B: $i] : % 0.10/0.40 ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [C: $i] : % 0.10/0.40 ( mand % 0.10/0.40 @ ( mbox % 0.10/0.40 @ ( mimplies @ ( mbox @ ( qmltpeq @ B @ C ) ) % 0.10/0.40 @ ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [D: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ D @ B ) ) @ ( mbox @ ( member @ D @ C ) ) ) ) @ ( mbox @ ( mimplies @ ( mbox @ ( member @ D @ C ) ) @ ( mbox @ ( member @ D @ B ) ) ) ) ) ) ) ) ) % 0.10/0.40 @ ( mbox % 0.10/0.40 @ ( mimplies % 0.10/0.40 @ ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [D: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ D @ B ) ) @ ( mbox @ ( member @ D @ C ) ) ) ) @ ( mbox @ ( mimplies @ ( mbox @ ( member @ D @ C ) ) @ ( mbox @ ( member @ D @ B ) ) ) ) ) ) ) % 0.10/0.40 @ ( mbox @ ( qmltpeq @ B @ C ) ) ) ) ) ) ) ) ) ) ). % 0.10/0.40 % 0.10/0.40 thf(prove_idempotency_of_union,conjecture, % 0.10/0.40 ( mlocal % 0.10/0.40 @ ( mbox % 0.10/0.40 @ ( mforall_di % 0.10/0.40 @ ^ [B: $i] : ( mbox @ ( qmltpeq @ ( union @ B @ B ) @ B ) ) ) ) ) ). % 0.10/0.40 % 0.10/0.40 %------------------------------------------------------------------------------ % 0.10/0.40 ------------------------ % 0.10/0.40 /starexec/sw/sutcliffe/jdk-11.0.2/bin/java: Command not found. % 0.10/0.40 ---- Embedded in THF --- % 0.10/0.40 ------------------------ % 0.10/0.42 ---- Cleaned THF --- % 0.10/0.42 ------------------------ % 0.10/0.45 % (1166546)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_1166528 for (3000ds/27Mi) % 0.10/0.45 % (1166546)Refutation not found, incomplete strategy % 0.10/0.45 % (1166546)------------------------------ % 0.10/0.45 % (1166546)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) % 0.10/0.45 % (1166546)Termination reason: Refutation not found, incomplete strategy % 0.10/0.45 % 0.10/0.45 % 0.10/0.45 % (1166546)Memory used [KB]: 5373 % 0.10/0.45 % (1166546)Time elapsed: 0.001 s % 0.10/0.45 % (1166546)------------------------------ % 0.10/0.45 % (1166546)------------------------------ % 0.10/0.46 % (1166544)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_1166528 for (3000ds/183Mi) % 0.10/0.46 % (1166545)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_1166528 for (3000ds/4Mi) % 0.10/0.46 % (1166544)First to succeed. % 0.10/0.46 % (1166547)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_1166528 for (3000ds/2Mi) % 0.10/0.46 % (1166548)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_1166528 for (3000ds/2Mi) % 0.10/0.46 % (1166545)Also succeeded, but the first one will report. % 0.10/0.46 % (1166549)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_1166528 for (3000ds/275Mi) % 0.10/0.46 % (1166548)Refutation not found, incomplete strategy % 0.10/0.46 % (1166548)------------------------------ % 0.10/0.46 % (1166548)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) % 0.10/0.46 % (1166548)Termination reason: Refutation not found, incomplete strategy % 0.10/0.46 % 0.10/0.46 % 0.10/0.46 % (1166548)Memory used [KB]: 5373 % 0.10/0.46 % (1166548)Time elapsed: 0.002 s % 0.10/0.46 % (1166548)------------------------------ % 0.10/0.46 % (1166548)------------------------------ % 0.18/0.46 % (1166549)Refutation not found, incomplete strategy % 0.18/0.46 % (1166549)------------------------------ % 0.18/0.46 % (1166549)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) % 0.18/0.46 % (1166549)Termination reason: Refutation not found, incomplete strategy % 0.18/0.46 % 0.18/0.46 % 0.18/0.46 % (1166549)Memory used [KB]: 5373 % 0.18/0.46 % (1166549)Time elapsed: 0.002 s % 0.18/0.46 % (1166549)------------------------------ % 0.18/0.46 % (1166549)------------------------------ % 0.18/0.46 % SZS status Satisfiable for DTF2THF_1166528 % 0.18/0.46 % (1166544)# SZS output start Saturation. % 0.18/0.46 % (1166544)# SZS output end Saturation. % 0.18/0.46 % (1166544)------------------------------ % 0.18/0.46 % (1166544)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) % 0.18/0.46 % (1166544)Termination reason: Satisfiable % 0.18/0.46 % 0.18/0.46 % (1166544)Memory used [KB]: 5373 % 0.18/0.46 % (1166544)Time elapsed: 0.003 s % 0.18/0.46 % (1166544)------------------------------ % 0.18/0.46 % (1166544)------------------------------ % 0.18/0.46 % (1166543)Success in time 0.015 s %------------------------------------------------------------------------------