%------------------------------------------------------------------------------ % File : DT2H2X---1.9.5 % Problem : LCL946^10 : 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 : n027.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 0.13s 0.45s % Output : Saturation 0.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL946^10 : 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 % 0.09/0.34 % Computer : n027.cluster.edu % 0.09/0.34 % Model : x86_64 x86_64 % 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.34 % Memory : 8046.5625MB % 0.09/0.34 % OS : Linux 6.8.0-71-generic % 0.09/0.34 % CPULimit : 300 % 0.09/0.34 % WCLimit : 300 % 0.09/0.34 % DateTime : Fri Sep 4 21:22:12 UTC 2026 % 0.09/0.34 % CPUTime : % 0.09/0.34 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % 0.13/0.37 ---- Original DTF file --- % 0.13/0.37 thf(spec,logic,$$dhol). % 0.13/0.37 %------------------------------------------------------------------------------ % 0.13/0.37 % File : LCL946^10 : TPTP v9.3.1. Released v8.1.0. % 0.13/0.37 % Domain : Logic Calculi % 0.13/0.37 % Problem : Goedel translation of NLP009+1 (from TPTP-v5.0.0) % 0.13/0.37 % Version : [BP13] axioms. % 0.13/0.37 % English : % 0.13/0.37 % 0.13/0.37 % Refs : [RO12] Raths & Otten (2012), The QMLTP Problem Library for Fi % 0.13/0.37 % : [BP13] Benzmueller & Paulson (2013), Quantified Multimodal Lo % 0.13/0.37 % : [Ste22] Steen (2022), An Extensible Logic Embedding Tool for L % 0.13/0.37 % Source : [TPTP] % 0.13/0.37 % Names : GNL009+1 [QMLTP] % 0.13/0.37 % 0.13/0.37 % Status : Theorem % 0.13/0.37 % Rating : 0.75 v9.3.0, 0.78 v9.1.0, 0.75 v9.0.0, 0.90 v8.2.0, 0.92 v8.1.0 % 0.13/0.37 % Syntax : Number of formulae : 75 ( 12 unt; 35 typ; 10 def) % 0.13/0.37 % Number of atoms : 777 ( 10 equ; 0 cnn) % 0.13/0.37 % Maximal formula atoms : 382 ( 19 avg) % 0.13/0.37 % Number of connectives : 1026 ( 1 ~; 1 |; 4 &;1015 @) % 0.13/0.37 % ( 1 <=>; 4 =>; 0 <=; 0 <~>) % 0.13/0.37 % Maximal formula depth : 56 ( 13 avg) % 0.13/0.37 % Number of types : 3 ( 1 usr) % 0.13/0.37 % Number of type conns : 105 ( 105 >; 0 *; 0 +; 0 <<) % 0.13/0.37 % Number of symbols : 35 ( 34 usr; 1 con; 0-3 aty) % 0.13/0.37 % Number of variables : 127 ( 117 ^; 7 !; 3 ?; 127 :) % 0.13/0.37 % SPC : TH0_THM_EQU_NAR_NDT % 0.13/0.37 % 0.13/0.37 % Comments : This output was generated by embedproblem, version 1.7.1 (library % 0.13/0.37 % version 1.3). Generated on Thu Apr 28 13:18:18 EDT 2022 using % 0.13/0.37 % 'modal' embedding, version 1.5.2. Logic specification used: % 0.13/0.37 % $modal == [$constants == $rigid,$quantification == $varying, % 0.13/0.37 % $modalities == $modal_system_S4]. % 0.13/0.37 %------------------------------------------------------------------------------ % 0.13/0.37 thf(mworld,type, % 0.13/0.37 mworld: $tType ). % 0.13/0.37 % 0.13/0.37 thf(mrel_type,type, % 0.13/0.37 mrel: mworld > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(mactual_type,type, % 0.13/0.37 mactual: mworld ). % 0.13/0.37 % 0.13/0.37 thf(mlocal_type,type, % 0.13/0.37 mlocal: ( mworld > $o ) > $o ). % 0.13/0.37 % 0.13/0.37 thf(mlocal_def,definition, % 0.13/0.37 ( mlocal % 0.13/0.37 = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ). % 0.13/0.37 % 0.13/0.37 thf(mnot_type,type, % 0.13/0.37 mnot: ( mworld > $o ) > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(mand_type,type, % 0.13/0.37 mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(mor_type,type, % 0.13/0.37 mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(mimplies_type,type, % 0.13/0.37 mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(mequiv_type,type, % 0.13/0.37 mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(mnot_def,definition, % 0.13/0.37 ( mnot % 0.13/0.37 = ( ^ [A: mworld > $o,W: mworld] : % 0.13/0.37 ~ ( A @ W ) ) ) ). % 0.13/0.37 % 0.13/0.37 thf(mand_def,definition, % 0.13/0.37 ( mand % 0.13/0.37 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] : % 0.13/0.37 ( ( A @ W ) % 0.13/0.37 & ( B @ W ) ) ) ) ). % 0.13/0.37 % 0.13/0.37 thf(mor_def,definition, % 0.13/0.37 ( mor % 0.13/0.37 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] : % 0.13/0.37 ( ( A @ W ) % 0.13/0.37 | ( B @ W ) ) ) ) ). % 0.13/0.37 % 0.13/0.37 thf(mimplies_def,definition, % 0.13/0.37 ( mimplies % 0.13/0.37 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] : % 0.13/0.37 ( ( A @ W ) % 0.13/0.37 => ( B @ W ) ) ) ) ). % 0.13/0.37 % 0.13/0.37 thf(mequiv_def,definition, % 0.13/0.37 ( mequiv % 0.13/0.37 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] : % 0.13/0.37 ( ( A @ W ) % 0.13/0.37 <=> ( B @ W ) ) ) ) ). % 0.13/0.37 % 0.13/0.37 thf(mbox_type,type, % 0.13/0.37 mbox: ( mworld > $o ) > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(mbox_def,definition, % 0.13/0.37 ( mbox % 0.13/0.37 = ( ^ [Phi: mworld > $o,W: mworld] : % 0.13/0.37 ! [V: mworld] : % 0.13/0.37 ( ( mrel @ W @ V ) % 0.13/0.37 => ( Phi @ V ) ) ) ) ). % 0.13/0.37 % 0.13/0.37 thf(mdia_type,type, % 0.13/0.37 mdia: ( mworld > $o ) > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(mdia_def,definition, % 0.13/0.37 ( mdia % 0.13/0.37 = ( ^ [Phi: mworld > $o,W: mworld] : % 0.13/0.37 ? [V: mworld] : % 0.13/0.37 ( ( mrel @ W @ V ) % 0.13/0.37 & ( Phi @ V ) ) ) ) ). % 0.13/0.37 % 0.13/0.37 thf(mrel_reflexive,axiom, % 0.13/0.37 ! [W: mworld] : ( mrel @ W @ W ) ). % 0.13/0.37 % 0.13/0.37 thf(mrel_transitive,axiom, % 0.13/0.37 ! [W: mworld,V: mworld,U: mworld] : % 0.13/0.37 ( ( ( mrel @ W @ V ) % 0.13/0.37 & ( mrel @ V @ U ) ) % 0.13/0.37 => ( mrel @ W @ U ) ) ). % 0.13/0.37 % 0.13/0.37 thf(eiw_di_type,type, % 0.13/0.37 eiw_di: $i > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(eiw_di_nonempty,axiom, % 0.13/0.37 ! [W: mworld] : % 0.13/0.37 ? [X: $i] : ( eiw_di @ X @ W ) ). % 0.13/0.37 % 0.13/0.37 thf(mforall_di_type,type, % 0.13/0.37 mforall_di: ( $i > mworld > $o ) > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(mforall_di_def,definition, % 0.13/0.37 ( mforall_di % 0.13/0.37 = ( ^ [A: $i > mworld > $o,W: mworld] : % 0.13/0.37 ! [X: $i] : % 0.13/0.37 ( ( eiw_di @ X @ W ) % 0.13/0.37 => ( A @ X @ W ) ) ) ) ). % 0.13/0.37 % 0.13/0.37 thf(mexists_di_type,type, % 0.13/0.37 mexists_di: ( $i > mworld > $o ) > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(mexists_di_def,definition, % 0.13/0.37 ( mexists_di % 0.13/0.37 = ( ^ [A: $i > mworld > $o,W: mworld] : % 0.13/0.37 ? [X: $i] : % 0.13/0.37 ( ( eiw_di @ X @ W ) % 0.13/0.37 & ( A @ X @ W ) ) ) ) ). % 0.13/0.37 % 0.13/0.37 thf(chevy_decl,type, % 0.13/0.37 chevy: $i > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(dirty_decl,type, % 0.13/0.37 dirty: $i > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(barrel_decl,type, % 0.13/0.37 barrel: $i > $i > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(hollywood_decl,type, % 0.13/0.37 hollywood: $i > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(city_decl,type, % 0.13/0.37 city: $i > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(in_decl,type, % 0.13/0.37 in: $i > $i > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(young_decl,type, % 0.13/0.37 young: $i > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(old_decl,type, % 0.13/0.37 old: $i > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(down_decl,type, % 0.13/0.37 down: $i > $i > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(way_decl,type, % 0.13/0.37 way: $i > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(qmltpeq_decl,type, % 0.13/0.37 qmltpeq: $i > $i > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(seat_decl,type, % 0.13/0.37 seat: $i > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(white_decl,type, % 0.13/0.37 white: $i > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(car_decl,type, % 0.13/0.37 car: $i > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(furniture_decl,type, % 0.13/0.37 furniture: $i > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(street_decl,type, % 0.13/0.37 street: $i > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(fellow_decl,type, % 0.13/0.37 fellow: $i > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(front_decl,type, % 0.13/0.37 front: $i > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(man_decl,type, % 0.13/0.37 man: $i > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(event_decl,type, % 0.13/0.37 event: $i > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(lonely_decl,type, % 0.13/0.37 lonely: $i > mworld > $o ). % 0.13/0.37 % 0.13/0.37 thf(reflexivity,axiom, % 0.13/0.37 ( mlocal % 0.13/0.37 @ ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [X: $i] : ( mbox @ ( qmltpeq @ X @ X ) ) ) ) ) ). % 0.13/0.37 % 0.13/0.37 thf(symmetry,axiom, % 0.13/0.37 ( mlocal % 0.13/0.37 @ ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [X: $i] : % 0.13/0.37 ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [Y: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ X @ Y ) ) @ ( mbox @ ( qmltpeq @ Y @ X ) ) ) ) ) ) ) ) ) ). % 0.13/0.37 % 0.13/0.37 thf(transitivity,axiom, % 0.13/0.37 ( mlocal % 0.13/0.37 @ ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [X: $i] : % 0.13/0.37 ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [Y: $i] : % 0.13/0.37 ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [Z: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ X @ Y ) ) @ ( mbox @ ( qmltpeq @ Y @ Z ) ) ) @ ( mbox @ ( qmltpeq @ X @ Z ) ) ) ) ) ) ) ) ) ) ) ). % 0.13/0.37 % 0.13/0.37 thf(barrel_substitution_1,axiom, % 0.13/0.37 ( mlocal % 0.13/0.37 @ ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [A: $i] : % 0.13/0.37 ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [B: $i] : % 0.13/0.37 ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( barrel @ A @ C ) ) ) @ ( mbox @ ( barrel @ B @ C ) ) ) ) ) ) ) ) ) ) ) ). % 0.13/0.37 % 0.13/0.37 thf(barrel_substitution_2,axiom, % 0.13/0.37 ( mlocal % 0.13/0.37 @ ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [A: $i] : % 0.13/0.37 ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [B: $i] : % 0.13/0.37 ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( barrel @ C @ A ) ) ) @ ( mbox @ ( barrel @ C @ B ) ) ) ) ) ) ) ) ) ) ) ). % 0.13/0.37 % 0.13/0.37 thf(car_substitution_1,axiom, % 0.13/0.37 ( mlocal % 0.13/0.37 @ ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [A: $i] : % 0.13/0.37 ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( car @ A ) ) ) @ ( mbox @ ( car @ B ) ) ) ) ) ) ) ) ) ). % 0.13/0.37 % 0.13/0.37 thf(chevy_substitution_1,axiom, % 0.13/0.37 ( mlocal % 0.13/0.37 @ ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [A: $i] : % 0.13/0.37 ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( chevy @ A ) ) ) @ ( mbox @ ( chevy @ B ) ) ) ) ) ) ) ) ) ). % 0.13/0.37 % 0.13/0.37 thf(city_substitution_1,axiom, % 0.13/0.37 ( mlocal % 0.13/0.37 @ ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [A: $i] : % 0.13/0.37 ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( city @ A ) ) ) @ ( mbox @ ( city @ B ) ) ) ) ) ) ) ) ) ). % 0.13/0.37 % 0.13/0.37 thf(dirty_substitution_1,axiom, % 0.13/0.37 ( mlocal % 0.13/0.37 @ ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [A: $i] : % 0.13/0.37 ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( dirty @ A ) ) ) @ ( mbox @ ( dirty @ B ) ) ) ) ) ) ) ) ) ). % 0.13/0.37 % 0.13/0.37 thf(down_substitution_1,axiom, % 0.13/0.37 ( mlocal % 0.13/0.37 @ ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [A: $i] : % 0.13/0.37 ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [B: $i] : % 0.13/0.37 ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( down @ A @ C ) ) ) @ ( mbox @ ( down @ B @ C ) ) ) ) ) ) ) ) ) ) ) ). % 0.13/0.37 % 0.13/0.37 thf(down_substitution_2,axiom, % 0.13/0.37 ( mlocal % 0.13/0.37 @ ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [A: $i] : % 0.13/0.37 ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [B: $i] : % 0.13/0.37 ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( down @ C @ A ) ) ) @ ( mbox @ ( down @ C @ B ) ) ) ) ) ) ) ) ) ) ) ). % 0.13/0.37 % 0.13/0.37 thf(event_substitution_1,axiom, % 0.13/0.37 ( mlocal % 0.13/0.37 @ ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [A: $i] : % 0.13/0.37 ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( event @ A ) ) ) @ ( mbox @ ( event @ B ) ) ) ) ) ) ) ) ) ). % 0.13/0.37 % 0.13/0.37 thf(fellow_substitution_1,axiom, % 0.13/0.37 ( mlocal % 0.13/0.37 @ ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [A: $i] : % 0.13/0.37 ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( fellow @ A ) ) ) @ ( mbox @ ( fellow @ B ) ) ) ) ) ) ) ) ) ). % 0.13/0.37 % 0.13/0.37 thf(front_substitution_1,axiom, % 0.13/0.37 ( mlocal % 0.13/0.37 @ ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [A: $i] : % 0.13/0.37 ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( front @ A ) ) ) @ ( mbox @ ( front @ B ) ) ) ) ) ) ) ) ) ). % 0.13/0.37 % 0.13/0.37 thf(furniture_substitution_1,axiom, % 0.13/0.37 ( mlocal % 0.13/0.37 @ ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [A: $i] : % 0.13/0.37 ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( furniture @ A ) ) ) @ ( mbox @ ( furniture @ B ) ) ) ) ) ) ) ) ) ). % 0.13/0.37 % 0.13/0.37 thf(hollywood_substitution_1,axiom, % 0.13/0.37 ( mlocal % 0.13/0.37 @ ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [A: $i] : % 0.13/0.37 ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( hollywood @ A ) ) ) @ ( mbox @ ( hollywood @ B ) ) ) ) ) ) ) ) ) ). % 0.13/0.37 % 0.13/0.37 thf(in_substitution_1,axiom, % 0.13/0.37 ( mlocal % 0.13/0.37 @ ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [A: $i] : % 0.13/0.37 ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [B: $i] : % 0.13/0.37 ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( in @ A @ C ) ) ) @ ( mbox @ ( in @ B @ C ) ) ) ) ) ) ) ) ) ) ) ). % 0.13/0.37 % 0.13/0.37 thf(in_substitution_2,axiom, % 0.13/0.37 ( mlocal % 0.13/0.37 @ ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [A: $i] : % 0.13/0.37 ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [B: $i] : % 0.13/0.37 ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( in @ C @ A ) ) ) @ ( mbox @ ( in @ C @ B ) ) ) ) ) ) ) ) ) ) ) ). % 0.13/0.37 % 0.13/0.37 thf(lonely_substitution_1,axiom, % 0.13/0.37 ( mlocal % 0.13/0.37 @ ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [A: $i] : % 0.13/0.37 ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( lonely @ A ) ) ) @ ( mbox @ ( lonely @ B ) ) ) ) ) ) ) ) ) ). % 0.13/0.37 % 0.13/0.37 thf(man_substitution_1,axiom, % 0.13/0.37 ( mlocal % 0.13/0.37 @ ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [A: $i] : % 0.13/0.37 ( mbox % 0.13/0.37 @ ( mforall_di % 0.13/0.37 @ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( man @ A ) ) ) @ ( mbox @ ( man @ B ) ) ) ) ) ) ) ) ) ). % 0.13/0.38 % 0.13/0.38 thf(old_substitution_1,axiom, % 0.13/0.38 ( mlocal % 0.13/0.38 @ ( mbox % 0.13/0.38 @ ( mforall_di % 0.13/0.38 @ ^ [A: $i] : % 0.13/0.38 ( mbox % 0.13/0.38 @ ( mforall_di % 0.13/0.38 @ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( old @ A ) ) ) @ ( mbox @ ( old @ B ) ) ) ) ) ) ) ) ) ). % 0.13/0.38 % 0.13/0.38 thf(seat_substitution_1,axiom, % 0.13/0.38 ( mlocal % 0.13/0.38 @ ( mbox % 0.13/0.38 @ ( mforall_di % 0.13/0.38 @ ^ [A: $i] : % 0.13/0.38 ( mbox % 0.13/0.38 @ ( mforall_di % 0.13/0.38 @ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( seat @ A ) ) ) @ ( mbox @ ( seat @ B ) ) ) ) ) ) ) ) ) ). % 0.13/0.38 % 0.13/0.38 thf(street_substitution_1,axiom, % 0.13/0.38 ( mlocal % 0.13/0.38 @ ( mbox % 0.13/0.38 @ ( mforall_di % 0.13/0.38 @ ^ [A: $i] : % 0.13/0.38 ( mbox % 0.13/0.38 @ ( mforall_di % 0.13/0.38 @ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( street @ A ) ) ) @ ( mbox @ ( street @ B ) ) ) ) ) ) ) ) ) ). % 0.13/0.38 % 0.13/0.38 thf(way_substitution_1,axiom, % 0.13/0.38 ( mlocal % 0.13/0.38 @ ( mbox % 0.13/0.38 @ ( mforall_di % 0.13/0.38 @ ^ [A: $i] : % 0.13/0.38 ( mbox % 0.13/0.38 @ ( mforall_di % 0.13/0.38 @ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( way @ A ) ) ) @ ( mbox @ ( way @ B ) ) ) ) ) ) ) ) ) ). % 0.13/0.38 % 0.13/0.38 thf(white_substitution_1,axiom, % 0.13/0.38 ( mlocal % 0.13/0.38 @ ( mbox % 0.13/0.38 @ ( mforall_di % 0.13/0.38 @ ^ [A: $i] : % 0.13/0.38 ( mbox % 0.13/0.38 @ ( mforall_di % 0.13/0.38 @ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( white @ A ) ) ) @ ( mbox @ ( white @ B ) ) ) ) ) ) ) ) ) ). % 0.13/0.38 % 0.13/0.38 thf(young_substitution_1,axiom, % 0.13/0.38 ( mlocal % 0.13/0.38 @ ( mbox % 0.13/0.38 @ ( mforall_di % 0.13/0.38 @ ^ [A: $i] : % 0.13/0.38 ( mbox % 0.13/0.38 @ ( mforall_di % 0.13/0.38 @ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( young @ A ) ) ) @ ( mbox @ ( young @ B ) ) ) ) ) ) ) ) ) ). % 0.13/0.38 % 0.13/0.38 thf(co1,conjecture, % 0.13/0.38 ( mlocal % 0.13/0.38 @ ( mand % 0.13/0.38 @ ( mbox % 0.13/0.38 @ ( mimplies % 0.13/0.38 @ ( mexists_di % 0.13/0.38 @ ^ [U: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [V: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [W: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [X: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [Y: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [Z: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [X1: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [X2: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [X3: $i] : ( mand @ ( mbox @ ( hollywood @ U ) ) @ ( mand @ ( mbox @ ( city @ U ) ) @ ( mand @ ( mbox @ ( event @ V ) ) @ ( mand @ ( mbox @ ( street @ W ) ) @ ( mand @ ( mbox @ ( way @ W ) ) @ ( mand @ ( mbox @ ( lonely @ W ) ) @ ( mand @ ( mbox @ ( chevy @ X ) ) @ ( mand @ ( mbox @ ( car @ X ) ) @ ( mand @ ( mbox @ ( white @ X ) ) @ ( mand @ ( mbox @ ( dirty @ X ) ) @ ( mand @ ( mbox @ ( old @ X ) ) @ ( mand @ ( mbox @ ( barrel @ V @ X ) ) @ ( mand @ ( mbox @ ( down @ V @ W ) ) @ ( mand @ ( mbox @ ( in @ V @ U ) ) @ ( mand @ ( mbox @ ( seat @ X1 ) ) @ ( mand @ ( mbox @ ( furniture @ X1 ) ) @ ( mand @ ( mbox @ ( front @ X1 ) ) @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y @ Z ) ) ) ) @ ( mand @ ( mbox @ ( fellow @ Y ) ) @ ( mand @ ( mbox @ ( man @ Y ) ) @ ( mand @ ( mbox @ ( young @ Y ) ) @ ( mand @ ( mbox @ ( fellow @ Z ) ) @ ( mand @ ( mbox @ ( man @ Z ) ) @ ( mand @ ( mbox @ ( young @ Z ) ) @ ( mand @ ( mbox @ ( qmltpeq @ Y @ X2 ) ) @ ( mand @ ( mbox @ ( in @ X2 @ X1 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ Z @ X3 ) ) @ ( mbox @ ( in @ X3 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) % 0.13/0.38 @ ( mexists_di % 0.13/0.38 @ ^ [X4: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [X5: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [X6: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [X7: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [X8: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [X9: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [X10: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [X11: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [X12: $i] : ( mand @ ( mbox @ ( hollywood @ X4 ) ) @ ( mand @ ( mbox @ ( city @ X4 ) ) @ ( mand @ ( mbox @ ( event @ X5 ) ) @ ( mand @ ( mbox @ ( chevy @ X6 ) ) @ ( mand @ ( mbox @ ( car @ X6 ) ) @ ( mand @ ( mbox @ ( white @ X6 ) ) @ ( mand @ ( mbox @ ( dirty @ X6 ) ) @ ( mand @ ( mbox @ ( old @ X6 ) ) @ ( mand @ ( mbox @ ( street @ X7 ) ) @ ( mand @ ( mbox @ ( way @ X7 ) ) @ ( mand @ ( mbox @ ( lonely @ X7 ) ) @ ( mand @ ( mbox @ ( barrel @ X5 @ X6 ) ) @ ( mand @ ( mbox @ ( down @ X5 @ X7 ) ) @ ( mand @ ( mbox @ ( in @ X5 @ X4 ) ) @ ( mand @ ( mbox @ ( seat @ X10 ) ) @ ( mand @ ( mbox @ ( furniture @ X10 ) ) @ ( mand @ ( mbox @ ( front @ X10 ) ) @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X8 @ X9 ) ) ) ) @ ( mand @ ( mbox @ ( fellow @ X8 ) ) @ ( mand @ ( mbox @ ( man @ X8 ) ) @ ( mand @ ( mbox @ ( young @ X8 ) ) @ ( mand @ ( mbox @ ( fellow @ X9 ) ) @ ( mand @ ( mbox @ ( man @ X9 ) ) @ ( mand @ ( mbox @ ( young @ X9 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ X8 @ X11 ) ) @ ( mand @ ( mbox @ ( in @ X11 @ X10 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ X9 @ X12 ) ) @ ( mbox @ ( in @ X12 @ X10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) % 0.13/0.38 @ ( mbox % 0.13/0.38 @ ( mimplies % 0.13/0.38 @ ( mexists_di % 0.13/0.38 @ ^ [X13: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [X14: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [X15: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [X16: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [X17: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [X18: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [X19: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [X20: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [X21: $i] : ( mand @ ( mbox @ ( hollywood @ X13 ) ) @ ( mand @ ( mbox @ ( city @ X13 ) ) @ ( mand @ ( mbox @ ( event @ X14 ) ) @ ( mand @ ( mbox @ ( chevy @ X15 ) ) @ ( mand @ ( mbox @ ( car @ X15 ) ) @ ( mand @ ( mbox @ ( white @ X15 ) ) @ ( mand @ ( mbox @ ( dirty @ X15 ) ) @ ( mand @ ( mbox @ ( old @ X15 ) ) @ ( mand @ ( mbox @ ( street @ X16 ) ) @ ( mand @ ( mbox @ ( way @ X16 ) ) @ ( mand @ ( mbox @ ( lonely @ X16 ) ) @ ( mand @ ( mbox @ ( barrel @ X14 @ X15 ) ) @ ( mand @ ( mbox @ ( down @ X14 @ X16 ) ) @ ( mand @ ( mbox @ ( in @ X14 @ X13 ) ) @ ( mand @ ( mbox @ ( seat @ X19 ) ) @ ( mand @ ( mbox @ ( furniture @ X19 ) ) @ ( mand @ ( mbox @ ( front @ X19 ) ) @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X17 @ X18 ) ) ) ) @ ( mand @ ( mbox @ ( fellow @ X17 ) ) @ ( mand @ ( mbox @ ( man @ X17 ) ) @ ( mand @ ( mbox @ ( young @ X17 ) ) @ ( mand @ ( mbox @ ( fellow @ X18 ) ) @ ( mand @ ( mbox @ ( man @ X18 ) ) @ ( mand @ ( mbox @ ( young @ X18 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ X17 @ X20 ) ) @ ( mand @ ( mbox @ ( in @ X20 @ X19 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ X18 @ X21 ) ) @ ( mbox @ ( in @ X21 @ X19 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) % 0.13/0.38 @ ( mexists_di % 0.13/0.38 @ ^ [X22: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [X23: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [X24: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [X25: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [X26: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [X27: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [X28: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [X29: $i] : % 0.13/0.38 ( mexists_di % 0.13/0.38 @ ^ [X30: $i] : ( mand @ ( mbox @ ( hollywood @ X22 ) ) @ ( mand @ ( mbox @ ( city @ X22 ) ) @ ( mand @ ( mbox @ ( event @ X23 ) ) @ ( mand @ ( mbox @ ( street @ X24 ) ) @ ( mand @ ( mbox @ ( way @ X24 ) ) @ ( mand @ ( mbox @ ( lonely @ X24 ) ) @ ( mand @ ( mbox @ ( chevy @ X25 ) ) @ ( mand @ ( mbox @ ( car @ X25 ) ) @ ( mand @ ( mbox @ ( white @ X25 ) ) @ ( mand @ ( mbox @ ( dirty @ X25 ) ) @ ( mand @ ( mbox @ ( old @ X25 ) ) @ ( mand @ ( mbox @ ( barrel @ X23 @ X25 ) ) @ ( mand @ ( mbox @ ( down @ X23 @ X24 ) ) @ ( mand @ ( mbox @ ( in @ X23 @ X22 ) ) @ ( mand @ ( mbox @ ( seat @ X28 ) ) @ ( mand @ ( mbox @ ( furniture @ X28 ) ) @ ( mand @ ( mbox @ ( front @ X28 ) ) @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X26 @ X27 ) ) ) ) @ ( mand @ ( mbox @ ( fellow @ X26 ) ) @ ( mand @ ( mbox @ ( man @ X26 ) ) @ ( mand @ ( mbox @ ( young @ X26 ) ) @ ( mand @ ( mbox @ ( fellow @ X27 ) ) @ ( mand @ ( mbox @ ( man @ X27 ) ) @ ( mand @ ( mbox @ ( young @ X27 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ X26 @ X29 ) ) @ ( mand @ ( mbox @ ( in @ X29 @ X28 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ X27 @ X30 ) ) @ ( mbox @ ( in @ X30 @ X28 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ). % 0.13/0.38 % 0.13/0.38 %------------------------------------------------------------------------------ % 0.13/0.38 ------------------------ % 0.13/0.38 /starexec/sw/sutcliffe/jdk-11.0.2/bin/java: Command not found. % 0.13/0.38 ---- Embedded in THF --- % 0.13/0.39 ------------------------ % 0.13/0.40 ---- Cleaned THF --- % 0.13/0.41 ------------------------ % 0.13/0.44 % (1429494)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_1429476 for (2999ds/27Mi) % 0.13/0.44 % (1429494)Refutation not found, incomplete strategy % 0.13/0.44 % (1429494)------------------------------ % 0.13/0.44 % (1429494)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) % 0.13/0.44 % (1429494)Termination reason: Refutation not found, incomplete strategy % 0.13/0.44 % 0.13/0.44 % 0.13/0.44 % (1429494)Memory used [KB]: 5373 % 0.13/0.44 % (1429494)Time elapsed: 0.002 s % 0.13/0.44 % (1429494)Instructions burned: 1 (million) % 0.13/0.44 % (1429494)------------------------------ % 0.13/0.44 % (1429494)------------------------------ % 0.13/0.45 % (1429492)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_1429476 for (2999ds/183Mi) % 0.13/0.45 % (1429493)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_1429476 for (2999ds/4Mi) % 0.13/0.45 % (1429492)First to succeed. % 0.13/0.45 % (1429495)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_1429476 for (2999ds/2Mi) % 0.13/0.45 % (1429493)Also succeeded, but the first one will report. % 0.13/0.45 % (1429496)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_1429476 for (2999ds/2Mi) % 0.13/0.45 % (1429496)Refutation not found, incomplete strategy % 0.13/0.45 % (1429496)------------------------------ % 0.13/0.45 % (1429496)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) % 0.13/0.45 % (1429496)Termination reason: Refutation not found, incomplete strategy % 0.13/0.45 % 0.13/0.45 % 0.13/0.45 % (1429496)Memory used [KB]: 5373 % 0.13/0.45 % (1429496)Time elapsed: 0.003 s % 0.13/0.45 % (1429496)------------------------------ % 0.13/0.45 % (1429496)------------------------------ % 0.13/0.45 % SZS status Satisfiable for DTF2THF_1429476 % 0.13/0.45 % (1429492)# SZS output start Saturation. % 0.13/0.45 % (1429492)# SZS output end Saturation. % 0.13/0.45 % (1429492)------------------------------ % 0.13/0.45 % (1429492)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) % 0.13/0.45 % (1429492)Termination reason: Satisfiable % 0.13/0.45 % 0.13/0.45 % (1429492)Memory used [KB]: 5373 % 0.13/0.45 % (1429492)Time elapsed: 0.003 s % 0.13/0.45 % (1429492)------------------------------ % 0.13/0.45 % (1429492)------------------------------ % 0.13/0.45 % (1429491)Success in time 0.019 s %------------------------------------------------------------------------------