%------------------------------------------------------------------------------ % File : DT2H2X---1.9.5 % Problem : LCL728^5 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300 % Computer : n001.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 11:34:48 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 : LCL728^5 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.10/0.36 % Computer : n001.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 05:30:31 UTC 2026 % 0.10/0.36 % CPUTime : % 0.10/0.36 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.14/0.39 ---- Original DTF file --- % 0.14/0.40 thf(spec,logic,$$dhol). % 0.14/0.40 %------------------------------------------------------------------------------ % 0.14/0.40 % File : LCL728^5 : TPTP v9.3.1. Released v4.0.0. % 0.14/0.40 % Domain : Logical Calculi % 0.14/0.40 % Problem : TPS problem THM532 % 0.14/0.40 % Version : Especial. % 0.14/0.40 % English : AC1 => AC3 from [RR93]. % 0.14/0.40 % 0.14/0.40 % Refs : [RR93] Rubin & Rubin (1993), Weak Forms of the Axiom of Choic % 0.14/0.40 % : [Bro09] Brown (2009), Email to Geoff Sutcliffe % 0.14/0.40 % Source : [Bro09] % 0.14/0.40 % Names : tps_0488 [Bro09] % 0.14/0.40 % : THM532 [TPS] % 0.14/0.40 % 0.14/0.40 % Status : Theorem % 0.14/0.40 % Rating : 0.44 v9.3.0, 0.50 v8.2.0, 0.45 v8.1.0, 0.42 v7.5.0, 0.50 v7.4.0, 0.44 v7.3.0, 0.50 v7.2.0, 0.38 v7.1.0, 0.29 v7.0.0, 0.25 v6.4.0, 0.14 v6.3.0, 0.17 v6.2.0, 0.33 v6.0.0, 0.50 v5.5.0, 0.60 v5.4.0, 0.50 v5.3.0, 0.75 v5.2.0, 0.50 v4.1.0, 0.67 v4.0.0 % 0.14/0.40 % Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def) % 0.14/0.40 % Number of atoms : 0 ( 0 equ; 0 cnn) % 0.14/0.40 % Maximal formula atoms : 0 ( 0 avg) % 0.14/0.40 % Number of connectives : 15 ( 0 ~; 0 |; 0 &; 10 @) % 0.14/0.40 % ( 0 <=>; 5 =>; 0 <=; 0 <~>) % 0.14/0.40 % Maximal formula depth : 9 ( 9 avg) % 0.14/0.40 % Number of types : 3 ( 2 usr) % 0.14/0.40 % Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<) % 0.14/0.40 % Number of symbols : 0 ( 0 usr; 0 con; --- aty) % 0.14/0.40 % Number of variables : 9 ( 0 ^; 5 !; 4 ?; 9 :) % 0.14/0.40 % SPC : TH0_THM_NEQ_NAR_NDT % 0.14/0.40 % 0.14/0.40 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS % 0.14/0.40 % project in the Department of Mathematical Sciences at Carnegie % 0.14/0.40 % Mellon University. Distributed under the Creative Commons copyleft % 0.14/0.40 % license: http://creativecommons.org/licenses/by-sa/3.0/ % 0.14/0.40 %------------------------------------------------------------------------------ % 0.14/0.40 %TPS can prove this automatically using Matt's Procedure % 0.14/0.40 thf(b_type,type, % 0.14/0.40 b: $tType ). % 0.14/0.40 % 0.14/0.40 thf(a_type,type, % 0.14/0.40 a: $tType ). % 0.14/0.40 % 0.14/0.40 thf(cTHM532,conjecture, % 0.14/0.40 ( ! [Xs: ( b > $o ) > $o] : % 0.14/0.40 ( ! [X: b > $o] : % 0.14/0.40 ( ( Xs @ X ) % 0.14/0.40 => ? [Xy: b] : ( X @ Xy ) ) % 0.14/0.40 => ? [Xf: ( b > $o ) > b] : % 0.14/0.40 ! [X: b > $o] : % 0.14/0.40 ( ( Xs @ X ) % 0.14/0.40 => ( X @ ( Xf @ X ) ) ) ) % 0.14/0.40 => ! [Xr: a > b > $o] : % 0.14/0.40 ? [Xg: a > b] : % 0.14/0.40 ! [Xx: a] : % 0.14/0.40 ( ? [Xy: b] : ( Xr @ Xx @ Xy ) % 0.14/0.40 => ( Xr @ Xx @ ( Xg @ Xx ) ) ) ) ). % 0.14/0.40 % 0.14/0.40 %------------------------------------------------------------------------------ % 0.14/0.40 ------------------------ % 0.14/0.40 /starexec/sw/sutcliffe/jdk-11.0.2/bin/java: Command not found. % 0.14/0.40 ---- Embedded in THF --- % 0.14/0.40 ------------------------ % 0.14/0.42 ---- Cleaned THF --- % 0.14/0.42 ------------------------ % 0.18/0.46 % (1856225)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_1856206 for (3000ds/2Mi) % 0.18/0.46 % (1856225)First to succeed. % 0.18/0.46 % SZS status Satisfiable for DTF2THF_1856206 % 0.18/0.46 % (1856225)# SZS output start Saturation. % 0.18/0.46 % (1856225)# SZS output end Saturation. % 0.18/0.46 % (1856225)------------------------------ % 0.18/0.46 % (1856225)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) % 0.18/0.46 % (1856225)Termination reason: Satisfiable % 0.18/0.46 % 0.18/0.46 % (1856225)Memory used [KB]: 5373 % 0.18/0.46 % (1856225)Time elapsed: 0.002 s % 0.18/0.46 % (1856225)Instructions burned: 1 (million) % 0.18/0.46 % (1856225)------------------------------ % 0.18/0.46 % (1856225)------------------------------ % 0.18/0.46 % (1856221)Success in time 0.011 s %------------------------------------------------------------------------------