%------------------------------------------------------------------------------ % File : DT2H2X---1.9.5 % Problem : LCL957^6 : 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 : n020.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 11:35:16 AM UTC 2026 % Result : CounterSatisfiable 0.13s 0.44s % Output : Saturation 0.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL957^6 : 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 % 0.09/0.35 % Computer : n020.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Fri Sep 4 22:30:42 UTC 2026 % 0.09/0.35 % CPUTime : % 0.09/0.35 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.13/0.38 ---- Original DTF file --- % 0.13/0.38 thf(spec,logic,$$dhol). % 0.13/0.38 %------------------------------------------------------------------------------ % 0.13/0.38 % File : LCL957^6 : TPTP v9.3.1. Released v8.1.0. % 0.13/0.38 % Domain : Logic Calculi % 0.13/0.38 % Problem : Goedel translation of SYN371+1 (from TPTP-v5.0.0) % 0.13/0.38 % Version : [BP13] axioms. % 0.13/0.38 % English : % 0.13/0.38 % 0.13/0.38 % Refs : [RO12] Raths & Otten (2012), The QMLTP Problem Library for Fi % 0.13/0.38 % : [BP13] Benzmueller & Paulson (2013), Quantified Multimodal Lo % 0.13/0.38 % : [Ste22] Steen (2022), An Extensible Logic Embedding Tool for L % 0.13/0.38 % Source : [TPTP] % 0.13/0.38 % Names : GSY371+1 [QMLTP] % 0.13/0.38 % 0.13/0.38 % Status : Theorem % 0.13/0.38 % 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 % 0.13/0.38 % Syntax : Number of formulae : 26 ( 11 unt; 14 typ; 10 def) % 0.13/0.38 % Number of atoms : 44 ( 10 equ; 0 cnn) % 0.13/0.38 % Maximal formula atoms : 21 ( 3 avg) % 0.13/0.38 % Number of connectives : 57 ( 1 ~; 1 |; 2 &; 50 @) % 0.13/0.38 % ( 1 <=>; 2 =>; 0 <=; 0 <~>) % 0.13/0.38 % Maximal formula depth : 15 ( 3 avg) % 0.13/0.38 % Number of types : 3 ( 1 usr) % 0.13/0.38 % Number of type conns : 60 ( 60 >; 0 *; 0 +; 0 <<) % 0.13/0.38 % Number of symbols : 14 ( 13 usr; 1 con; 0-3 aty) % 0.13/0.38 % Number of variables : 33 ( 27 ^; 4 !; 2 ?; 33 :) % 0.13/0.38 % SPC : TH0_THM_EQU_NAR_NDT % 0.13/0.38 % 0.13/0.38 % Comments : This output was generated by embedproblem, version 1.7.1 (library % 0.13/0.38 % version 1.3). Generated on Thu Apr 28 13:18:18 EDT 2022 using % 0.13/0.38 % 'modal' embedding, version 1.5.2. Logic specification used: % 0.13/0.38 % $modal == [$constants == $rigid,$quantification == $constant, % 0.13/0.38 % $modalities == $modal_system_S5U]. % 0.13/0.38 %------------------------------------------------------------------------------ % 0.13/0.38 thf(mworld,type, % 0.13/0.38 mworld: $tType ). % 0.13/0.38 % 0.13/0.38 thf(mrel_type,type, % 0.13/0.38 mrel: mworld > mworld > $o ). % 0.13/0.38 % 0.13/0.38 thf(mactual_type,type, % 0.13/0.38 mactual: mworld ). % 0.13/0.38 % 0.13/0.38 thf(mlocal_type,type, % 0.13/0.38 mlocal: ( mworld > $o ) > $o ). % 0.13/0.38 % 0.13/0.38 thf(mlocal_def,definition, % 0.13/0.38 ( mlocal % 0.13/0.38 = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ). % 0.13/0.38 % 0.13/0.38 thf(mnot_type,type, % 0.13/0.38 mnot: ( mworld > $o ) > mworld > $o ). % 0.13/0.38 % 0.13/0.38 thf(mand_type,type, % 0.13/0.38 mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ). % 0.13/0.38 % 0.13/0.38 thf(mor_type,type, % 0.13/0.38 mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ). % 0.13/0.38 % 0.13/0.38 thf(mimplies_type,type, % 0.13/0.38 mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ). % 0.13/0.38 % 0.13/0.38 thf(mequiv_type,type, % 0.13/0.38 mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ). % 0.13/0.38 % 0.13/0.38 thf(mnot_def,definition, % 0.13/0.38 ( mnot % 0.13/0.38 = ( ^ [A: mworld > $o,W: mworld] : % 0.13/0.38 ~ ( A @ W ) ) ) ). % 0.13/0.38 % 0.13/0.38 thf(mand_def,definition, % 0.13/0.38 ( mand % 0.13/0.38 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] : % 0.13/0.38 ( ( A @ W ) % 0.13/0.38 & ( B @ W ) ) ) ) ). % 0.13/0.38 % 0.13/0.38 thf(mor_def,definition, % 0.13/0.38 ( mor % 0.13/0.38 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] : % 0.13/0.38 ( ( A @ W ) % 0.13/0.38 | ( B @ W ) ) ) ) ). % 0.13/0.38 % 0.13/0.38 thf(mimplies_def,definition, % 0.13/0.38 ( mimplies % 0.13/0.38 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] : % 0.13/0.38 ( ( A @ W ) % 0.13/0.38 => ( B @ W ) ) ) ) ). % 0.13/0.38 % 0.13/0.38 thf(mequiv_def,definition, % 0.13/0.38 ( mequiv % 0.13/0.38 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] : % 0.13/0.38 ( ( A @ W ) % 0.13/0.38 <=> ( B @ W ) ) ) ) ). % 0.13/0.38 % 0.13/0.38 thf(mbox_type,type, % 0.13/0.38 mbox: ( mworld > $o ) > mworld > $o ). % 0.13/0.38 % 0.13/0.38 thf(mbox_def,definition, % 0.13/0.38 ( mbox % 0.13/0.38 = ( ^ [Phi: mworld > $o,W: mworld] : % 0.13/0.38 ! [V: mworld] : % 0.13/0.38 ( ( mrel @ W @ V ) % 0.13/0.38 => ( Phi @ V ) ) ) ) ). % 0.13/0.38 % 0.13/0.38 thf(mdia_type,type, % 0.13/0.38 mdia: ( mworld > $o ) > mworld > $o ). % 0.13/0.38 % 0.13/0.38 thf(mdia_def,definition, % 0.13/0.38 ( mdia % 0.13/0.38 = ( ^ [Phi: mworld > $o,W: mworld] : % 0.13/0.38 ? [V: mworld] : % 0.13/0.38 ( ( mrel @ W @ V ) % 0.13/0.38 & ( Phi @ V ) ) ) ) ). % 0.13/0.38 % 0.13/0.38 thf(mrel_universal,axiom, % 0.13/0.38 ! [W: mworld,V: mworld] : ( mrel @ W @ V ) ). % 0.13/0.38 % 0.13/0.38 thf(mforall_di_type,type, % 0.13/0.38 mforall_di: ( $i > mworld > $o ) > mworld > $o ). % 0.13/0.38 % 0.13/0.38 thf(mforall_di_def,definition, % 0.13/0.38 ( mforall_di % 0.13/0.38 = ( ^ [A: $i > mworld > $o,W: mworld] : % 0.13/0.38 ! [X: $i] : ( A @ X @ W ) ) ) ). % 0.13/0.38 % 0.13/0.38 thf(mexists_di_type,type, % 0.13/0.38 mexists_di: ( $i > mworld > $o ) > mworld > $o ). % 0.13/0.38 % 0.13/0.38 thf(mexists_di_def,definition, % 0.13/0.38 ( mexists_di % 0.13/0.38 = ( ^ [A: $i > mworld > $o,W: mworld] : % 0.13/0.38 ? [X: $i] : ( A @ X @ W ) ) ) ). % 0.13/0.38 % 0.13/0.38 %%% This output was generated by tptputils, version 1.2. % 0.13/0.38 %%% Generated on Wed Apr 27 15:34:57 CEST 2022 using command 'downgrade(tff)'. % 0.13/0.38 thf(big_r_decl,type, % 0.13/0.38 big_r: $i > $i > mworld > $o ). % 0.13/0.38 % 0.13/0.38 thf(x2122,conjecture, % 0.13/0.38 ( mlocal % 0.13/0.38 @ ( mbox % 0.13/0.38 @ ( mimplies % 0.13/0.38 @ ( mbox % 0.13/0.38 @ ( mimplies % 0.13/0.38 @ ( mexists_di % 0.13/0.38 @ ^ [X: $i] : ( mbox @ ( big_r @ X @ X ) ) ) % 0.13/0.38 @ ( mbox % 0.13/0.38 @ ( mforall_di % 0.13/0.38 @ ^ [Y: $i] : ( mbox @ ( big_r @ Y @ Y ) ) ) ) ) ) % 0.13/0.38 @ ( mexists_di % 0.13/0.38 @ ^ [U: $i] : % 0.13/0.38 ( mbox % 0.13/0.38 @ ( mforall_di % 0.13/0.38 @ ^ [V: $i] : ( mbox @ ( mimplies @ ( mbox @ ( big_r @ U @ U ) ) @ ( mbox @ ( big_r @ V @ V ) ) ) ) ) ) ) ) ) ) ). % 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 % (1508848)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_1508802 for (3000ds/183Mi) % 0.13/0.44 % (1508848)First to succeed. % 0.13/0.44 % SZS status Satisfiable for DTF2THF_1508802 % 0.13/0.44 % (1508848)# SZS output start Saturation. % 0.13/0.44 % (1508848)# SZS output end Saturation. % 0.13/0.44 % (1508848)------------------------------ % 0.13/0.44 % (1508848)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) % 0.13/0.44 % (1508848)Termination reason: Satisfiable % 0.13/0.44 % 0.13/0.44 % (1508848)Memory used [KB]: 5373 % 0.13/0.44 % (1508848)Time elapsed: 0.001 s % 0.13/0.44 % (1508848)------------------------------ % 0.13/0.44 % (1508848)------------------------------ % 0.13/0.44 % (1508839)Success in time 0.007 s %------------------------------------------------------------------------------