%------------------------------------------------------------------------------ % File : DT2H2X---1.9.5 % Problem : LCL950^17 : TPTP v9.3.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300 % Computer : n016.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 11:35:15 AM UTC 2026 % Result : CounterSatisfiable 0.16s 0.49s % Output : Saturation 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL950^17 : TPTP v9.3.1. Released v8.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.11/0.38 % Computer : n016.cluster.edu % 0.11/0.38 % Model : x86_64 x86_64 % 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.38 % Memory : 8046.5625MB % 0.11/0.38 % OS : Linux 6.8.0-71-generic % 0.11/0.38 % CPULimit : 300 % 0.11/0.38 % WCLimit : 300 % 0.11/0.38 % DateTime : Fri Sep 4 14:00:13 UTC 2026 % 0.11/0.38 % CPUTime : % 0.11/0.38 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.11/0.41 ---- Original DTF file --- % 0.11/0.41 thf(spec,logic,$$dhol). % 0.11/0.41 %------------------------------------------------------------------------------ % 0.11/0.41 % File : LCL950^17 : TPTP v9.3.1. Released v8.1.0. % 0.11/0.41 % Domain : Logic Calculi % 0.11/0.41 % Problem : Goedel translation of SET574+3 (from TPTP-v5.0.0) % 0.11/0.41 % Version : [BP13] axioms. % 0.11/0.41 % English : % 0.11/0.41 % 0.11/0.41 % Refs : [RO12] Raths & Otten (2012), The QMLTP Problem Library for Fi % 0.11/0.41 % : [BP13] Benzmueller & Paulson (2013), Quantified Multimodal Lo % 0.11/0.41 % : [Ste22] Steen (2022), An Extensible Logic Embedding Tool for L % 0.11/0.41 % Source : [TPTP] % 0.11/0.41 % Names : GSE574+3 [QMLTP] % 0.11/0.41 % 0.11/0.41 % Status : Theorem % 0.11/0.41 % Rating : 0.58 v9.3.0, 0.56 v9.1.0, 0.38 v9.0.0, 0.40 v8.2.0, 0.46 v8.1.0 % 0.11/0.41 % Syntax : Number of formulae : 33 ( 12 unt; 16 typ; 10 def) % 0.11/0.41 % Number of atoms : 85 ( 10 equ; 0 cnn) % 0.11/0.41 % Maximal formula atoms : 26 ( 5 avg) % 0.11/0.41 % Number of connectives : 125 ( 1 ~; 1 |; 5 &; 112 @) % 0.11/0.41 % ( 1 <=>; 5 =>; 0 <=; 0 <~>) % 0.11/0.41 % Maximal formula depth : 19 ( 5 avg) % 0.11/0.41 % Number of types : 3 ( 1 usr) % 0.11/0.41 % Number of type conns : 65 ( 65 >; 0 *; 0 +; 0 <<) % 0.11/0.41 % Number of symbols : 16 ( 15 usr; 1 con; 0-3 aty) % 0.11/0.41 % Number of variables : 45 ( 32 ^; 10 !; 3 ?; 45 :) % 0.11/0.41 % SPC : TH0_THM_EQU_NAR_NDT % 0.11/0.41 % 0.11/0.41 % Comments : This output was generated by embedproblem, version 1.7.1 (library % 0.11/0.41 % version 1.3). Generated on Thu Apr 28 13:18:18 EDT 2022 using % 0.11/0.41 % 'modal' embedding, version 1.5.2. Logic specification used: % 0.11/0.41 % $modal == [$constants == $rigid,$quantification == $cumulative, % 0.11/0.41 % $modalities == $modal_system_S5]. % 0.11/0.41 %------------------------------------------------------------------------------ % 0.11/0.41 thf(mworld,type, % 0.11/0.41 mworld: $tType ). % 0.11/0.41 % 0.11/0.41 thf(mrel_type,type, % 0.11/0.41 mrel: mworld > mworld > $o ). % 0.11/0.41 % 0.11/0.41 thf(mactual_type,type, % 0.11/0.41 mactual: mworld ). % 0.11/0.41 % 0.11/0.41 thf(mlocal_type,type, % 0.11/0.41 mlocal: ( mworld > $o ) > $o ). % 0.11/0.41 % 0.11/0.41 thf(mlocal_def,definition, % 0.11/0.41 ( mlocal % 0.11/0.41 = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ). % 0.11/0.41 % 0.11/0.41 thf(mnot_type,type, % 0.11/0.41 mnot: ( mworld > $o ) > mworld > $o ). % 0.11/0.41 % 0.11/0.41 thf(mand_type,type, % 0.11/0.41 mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ). % 0.11/0.41 % 0.11/0.41 thf(mor_type,type, % 0.11/0.41 mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ). % 0.11/0.41 % 0.11/0.41 thf(mimplies_type,type, % 0.11/0.41 mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ). % 0.11/0.41 % 0.11/0.41 thf(mequiv_type,type, % 0.11/0.41 mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ). % 0.11/0.41 % 0.11/0.41 thf(mnot_def,definition, % 0.11/0.41 ( mnot % 0.11/0.41 = ( ^ [A: mworld > $o,W: mworld] : % 0.11/0.41 ~ ( A @ W ) ) ) ). % 0.11/0.41 % 0.11/0.41 thf(mand_def,definition, % 0.11/0.41 ( mand % 0.11/0.41 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] : % 0.11/0.41 ( ( A @ W ) % 0.11/0.41 & ( B @ W ) ) ) ) ). % 0.11/0.41 % 0.11/0.41 thf(mor_def,definition, % 0.11/0.41 ( mor % 0.11/0.41 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] : % 0.11/0.41 ( ( A @ W ) % 0.11/0.41 | ( B @ W ) ) ) ) ). % 0.11/0.41 % 0.11/0.41 thf(mimplies_def,definition, % 0.11/0.41 ( mimplies % 0.11/0.41 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] : % 0.11/0.41 ( ( A @ W ) % 0.11/0.41 => ( B @ W ) ) ) ) ). % 0.11/0.41 % 0.11/0.41 thf(mequiv_def,definition, % 0.11/0.41 ( mequiv % 0.11/0.41 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] : % 0.11/0.41 ( ( A @ W ) % 0.11/0.41 <=> ( B @ W ) ) ) ) ). % 0.11/0.41 % 0.11/0.41 thf(mbox_type,type, % 0.11/0.41 mbox: ( mworld > $o ) > mworld > $o ). % 0.11/0.41 % 0.11/0.41 thf(mbox_def,definition, % 0.11/0.41 ( mbox % 0.11/0.41 = ( ^ [Phi: mworld > $o,W: mworld] : % 0.11/0.41 ! [V: mworld] : % 0.11/0.41 ( ( mrel @ W @ V ) % 0.11/0.41 => ( Phi @ V ) ) ) ) ). % 0.11/0.41 % 0.11/0.41 thf(mdia_type,type, % 0.11/0.41 mdia: ( mworld > $o ) > mworld > $o ). % 0.11/0.41 % 0.11/0.41 thf(mdia_def,definition, % 0.11/0.41 ( mdia % 0.11/0.41 = ( ^ [Phi: mworld > $o,W: mworld] : % 0.11/0.41 ? [V: mworld] : % 0.11/0.41 ( ( mrel @ W @ V ) % 0.11/0.41 & ( Phi @ V ) ) ) ) ). % 0.11/0.41 % 0.11/0.41 thf(mrel_reflexive,axiom, % 0.11/0.41 ! [W: mworld] : ( mrel @ W @ W ) ). % 0.11/0.41 % 0.11/0.41 thf(mrel_euclidean,axiom, % 0.11/0.41 ! [W: mworld,V: mworld,U: mworld] : % 0.11/0.41 ( ( ( mrel @ W @ U ) % 0.11/0.41 & ( mrel @ W @ V ) ) % 0.11/0.41 => ( mrel @ U @ V ) ) ). % 0.11/0.41 % 0.11/0.41 thf(eiw_di_type,type, % 0.11/0.41 eiw_di: $i > mworld > $o ). % 0.11/0.41 % 0.11/0.41 thf(eiw_di_nonempty,axiom, % 0.11/0.41 ! [W: mworld] : % 0.11/0.41 ? [X: $i] : ( eiw_di @ X @ W ) ). % 0.11/0.41 % 0.11/0.41 thf(eiw_di_cumul,axiom, % 0.11/0.41 ! [W: mworld,V: mworld,X: $i] : % 0.11/0.41 ( ( ( eiw_di @ X @ W ) % 0.11/0.41 & ( mrel @ W @ V ) ) % 0.11/0.41 => ( eiw_di @ X @ V ) ) ). % 0.11/0.41 % 0.11/0.41 thf(mforall_di_type,type, % 0.11/0.41 mforall_di: ( $i > mworld > $o ) > mworld > $o ). % 0.11/0.41 % 0.11/0.41 thf(mforall_di_def,definition, % 0.11/0.41 ( mforall_di % 0.11/0.41 = ( ^ [A: $i > mworld > $o,W: mworld] : % 0.11/0.41 ! [X: $i] : % 0.11/0.41 ( ( eiw_di @ X @ W ) % 0.11/0.41 => ( A @ X @ W ) ) ) ) ). % 0.11/0.41 % 0.11/0.41 thf(mexists_di_type,type, % 0.11/0.41 mexists_di: ( $i > mworld > $o ) > mworld > $o ). % 0.11/0.41 % 0.11/0.41 thf(mexists_di_def,definition, % 0.11/0.41 ( mexists_di % 0.11/0.41 = ( ^ [A: $i > mworld > $o,W: mworld] : % 0.11/0.41 ? [X: $i] : % 0.11/0.41 ( ( eiw_di @ X @ W ) % 0.11/0.41 & ( A @ X @ W ) ) ) ) ). % 0.11/0.41 % 0.11/0.41 thf(intersect_decl,type, % 0.11/0.41 intersect: $i > $i > mworld > $o ). % 0.11/0.41 % 0.11/0.41 thf(member_decl,type, % 0.11/0.41 member: $i > $i > mworld > $o ). % 0.11/0.41 % 0.11/0.41 thf(intersect_defn,axiom, % 0.11/0.41 ( mlocal % 0.11/0.41 @ ( mbox % 0.11/0.41 @ ( mforall_di % 0.11/0.41 @ ^ [B: $i] : % 0.11/0.41 ( mbox % 0.11/0.41 @ ( mforall_di % 0.11/0.41 @ ^ [C: $i] : % 0.11/0.41 ( mand % 0.11/0.41 @ ( mbox % 0.11/0.41 @ ( mimplies @ ( mbox @ ( intersect @ B @ C ) ) % 0.11/0.41 @ ( mexists_di % 0.11/0.41 @ ^ [D: $i] : ( mand @ ( mbox @ ( member @ D @ B ) ) @ ( mbox @ ( member @ D @ C ) ) ) ) ) ) % 0.11/0.41 @ ( mbox % 0.11/0.41 @ ( mimplies % 0.11/0.41 @ ( mexists_di % 0.11/0.41 @ ^ [D: $i] : ( mand @ ( mbox @ ( member @ D @ B ) ) @ ( mbox @ ( member @ D @ C ) ) ) ) % 0.11/0.41 @ ( mbox @ ( intersect @ B @ C ) ) ) ) ) ) ) ) ) ) ). % 0.11/0.41 % 0.11/0.41 thf(symmetry_of_intersect,axiom, % 0.11/0.41 ( mlocal % 0.11/0.41 @ ( mbox % 0.11/0.41 @ ( mforall_di % 0.11/0.41 @ ^ [B: $i] : % 0.11/0.41 ( mbox % 0.11/0.41 @ ( mforall_di % 0.11/0.41 @ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( intersect @ B @ C ) ) @ ( mbox @ ( intersect @ C @ B ) ) ) ) ) ) ) ) ) ). % 0.11/0.41 % 0.11/0.41 thf(prove_th13,conjecture, % 0.11/0.41 ( mlocal % 0.11/0.41 @ ( mbox % 0.11/0.41 @ ( mforall_di % 0.11/0.41 @ ^ [B: $i] : % 0.11/0.41 ( mbox % 0.11/0.41 @ ( mforall_di % 0.11/0.41 @ ^ [C: $i] : % 0.11/0.41 ( mbox % 0.11/0.41 @ ( mforall_di % 0.11/0.41 @ ^ [D: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( member @ B @ C ) ) @ ( mbox @ ( member @ B @ D ) ) ) @ ( mbox @ ( intersect @ C @ D ) ) ) ) ) ) ) ) ) ) ) ). % 0.11/0.41 % 0.11/0.41 %------------------------------------------------------------------------------ % 0.11/0.41 ------------------------ % 0.11/0.43 /starexec/sw/sutcliffe/jdk-11.0.2/bin/java: Command not found. % 0.11/0.43 ---- Embedded in THF --- % 0.11/0.44 ------------------------ % 0.11/0.45 ---- Cleaned THF --- % 0.16/0.46 ------------------------ % 0.16/0.49 % (803782)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_803763 for (3000ds/2Mi) % 0.16/0.49 % (803782)First to succeed. % 0.16/0.49 % SZS status Satisfiable for DTF2THF_803763 % 0.16/0.49 % (803782)# SZS output start Saturation. % 0.16/0.49 % (803782)# SZS output end Saturation. % 0.16/0.49 % (803782)------------------------------ % 0.16/0.49 % (803782)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) % 0.16/0.49 % (803782)Termination reason: Satisfiable % 0.16/0.49 % 0.16/0.49 % (803782)Memory used [KB]: 5373 % 0.16/0.49 % (803782)Time elapsed: 0.002 s % 0.16/0.49 % (803782)------------------------------ % 0.16/0.49 % (803782)------------------------------ % 0.16/0.49 % (803778)Success in time 0.01 s %------------------------------------------------------------------------------