%------------------------------------------------------------------------------ % File : DT2H2X---1.9.5 % Problem : LCL729^5 : 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 : 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 11:34:48 AM UTC 2026 % Result : CounterSatisfiable 0.17s 0.46s % Output : Saturation 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL729^5 : 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 : n016.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 08:42:14 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.37 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.14/0.39 ---- Original DTF file --- % 0.14/0.39 thf(spec,logic,$$dhol). % 0.14/0.39 %------------------------------------------------------------------------------ % 0.14/0.39 % File : LCL729^5 : TPTP v9.3.1. Released v4.0.0. % 0.14/0.39 % Domain : Logical Calculi % 0.14/0.39 % Problem : TPS problem THM560 % 0.14/0.39 % Version : Especial. % 0.14/0.39 % English : AC1(A) equiv AC3(OA,A) from [RR93]. Note that AC3 usually refers % 0.14/0.39 % to 'relations' where here we are using it for relations on OA x A. % 0.14/0.39 % 0.14/0.39 % Refs : [RR93] Rubin & Rubin (1993), Weak Forms of the Axiom of Choic % 0.14/0.39 % : [Bro09] Brown (2009), Email to Geoff Sutcliffe % 0.14/0.39 % Source : [Bro09] % 0.14/0.39 % Names : tps_0513 [Bro09] % 0.14/0.39 % : THM560 [TPS] % 0.14/0.39 % 0.14/0.39 % Status : Theorem % 0.14/0.39 % Rating : 0.78 v9.3.0, 0.83 v9.1.0, 0.88 v9.0.0, 0.67 v8.2.0, 0.82 v8.1.0, 0.75 v7.4.0, 0.78 v7.3.0, 0.80 v7.2.0, 0.75 v7.1.0, 0.86 v7.0.0, 0.88 v6.4.0, 0.86 v6.3.0, 0.83 v5.5.0, 0.80 v5.4.0, 0.75 v5.3.0, 1.00 v5.2.0, 0.75 v4.1.0, 0.67 v4.0.0 % 0.14/0.39 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def) % 0.14/0.39 % Number of atoms : 0 ( 0 equ; 0 cnn) % 0.14/0.39 % Maximal formula atoms : 0 ( 0 avg) % 0.14/0.39 % Number of connectives : 15 ( 0 ~; 0 |; 0 &; 10 @) % 0.14/0.39 % ( 1 <=>; 4 =>; 0 <=; 0 <~>) % 0.14/0.39 % Maximal formula depth : 9 ( 9 avg) % 0.14/0.39 % Number of types : 2 ( 1 usr) % 0.14/0.39 % Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<) % 0.14/0.39 % Number of symbols : 0 ( 0 usr; 0 con; --- aty) % 0.14/0.39 % Number of variables : 9 ( 0 ^; 5 !; 4 ?; 9 :) % 0.14/0.39 % SPC : TH0_THM_NEQ_NAR_NDT % 0.14/0.39 % 0.14/0.39 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS % 0.14/0.39 % project in the Department of Mathematical Sciences at Carnegie % 0.14/0.39 % Mellon University. Distributed under the Creative Commons copyleft % 0.14/0.39 % license: http://creativecommons.org/licenses/by-sa/3.0/ % 0.14/0.39 % : % 0.14/0.39 %------------------------------------------------------------------------------ % 0.14/0.39 thf(a_type,type, % 0.14/0.39 a: $tType ). % 0.14/0.39 % 0.14/0.39 thf(cTHM560,conjecture, % 0.14/0.39 ( ! [Xr: ( a > $o ) > a > $o] : % 0.14/0.39 ? [Xg: ( a > $o ) > a] : % 0.14/0.39 ! [Xx: a > $o] : % 0.14/0.39 ( ? [Xy: a] : ( Xr @ Xx @ Xy ) % 0.14/0.39 => ( Xr @ Xx @ ( Xg @ Xx ) ) ) % 0.14/0.39 <=> ! [Xs: ( a > $o ) > $o] : % 0.14/0.39 ( ! [X: a > $o] : % 0.14/0.39 ( ( Xs @ X ) % 0.14/0.39 => ? [Xt: a] : ( X @ Xt ) ) % 0.14/0.39 => ? [Xf: ( a > $o ) > a] : % 0.14/0.39 ! [X: a > $o] : % 0.14/0.39 ( ( Xs @ X ) % 0.14/0.39 => ( X @ ( Xf @ X ) ) ) ) ) ). % 0.14/0.39 % 0.14/0.39 %------------------------------------------------------------------------------ % 0.14/0.39 ------------------------ % 0.14/0.39 /starexec/sw/sutcliffe/jdk-11.0.2/bin/java: Command not found. % 0.14/0.39 ---- Embedded in THF --- % 0.14/0.39 ------------------------ % 0.14/0.41 ---- Cleaned THF --- % 0.14/0.42 ------------------------ % 0.14/0.45 % (1738460)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_1738412 for (2999ds/275Mi) % 0.14/0.45 % (1738460)Refutation not found, incomplete strategy % 0.14/0.45 % (1738460)------------------------------ % 0.14/0.45 % (1738460)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) % 0.14/0.45 % (1738460)Termination reason: Refutation not found, incomplete strategy % 0.14/0.45 % 0.14/0.45 % 0.14/0.45 % (1738460)Memory used [KB]: 5373 % 0.14/0.45 % (1738460)Time elapsed: 0.002 s % 0.14/0.45 % (1738460)Instructions burned: 1 (million) % 0.14/0.45 % (1738460)------------------------------ % 0.14/0.45 % (1738460)------------------------------ % 0.14/0.45 % (1738456)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_1738412 for (2999ds/4Mi) % 0.14/0.45 % (1738455)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_1738412 for (2999ds/183Mi) % 0.14/0.45 % (1738457)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_1738412 for (2999ds/27Mi) % 0.14/0.45 % (1738455)First to succeed. % 0.14/0.45 % (1738458)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_1738412 for (2999ds/2Mi) % 0.14/0.46 % (1738459)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_1738412 for (2999ds/2Mi) % 0.14/0.46 % (1738456)Also succeeded, but the first one will report. % 0.14/0.46 % (1738457)Refutation not found, incomplete strategy % 0.14/0.46 % (1738457)------------------------------ % 0.14/0.46 % (1738457)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) % 0.14/0.46 % (1738457)Termination reason: Refutation not found, incomplete strategy % 0.14/0.46 % 0.14/0.46 % 0.14/0.46 % (1738457)Memory used [KB]: 5373 % 0.14/0.46 % (1738457)Time elapsed: 0.003 s % 0.14/0.46 % (1738457)Instructions burned: 1 (million) % 0.14/0.46 % (1738457)------------------------------ % 0.14/0.46 % (1738457)------------------------------ % 0.14/0.46 % (1738459)Refutation not found, incomplete strategy % 0.14/0.46 % (1738459)------------------------------ % 0.14/0.46 % (1738459)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) % 0.14/0.46 % (1738459)Termination reason: Refutation not found, incomplete strategy % 0.14/0.46 % 0.14/0.46 % 0.14/0.46 % (1738459)Memory used [KB]: 5373 % 0.14/0.46 % (1738459)Time elapsed: 0.003 s % 0.14/0.46 % (1738459)Instructions burned: 1 (million) % 0.14/0.46 % (1738459)------------------------------ % 0.14/0.46 % (1738459)------------------------------ % 0.17/0.46 % SZS status Satisfiable for DTF2THF_1738412 % 0.17/0.46 % (1738455)# SZS output start Saturation. % 0.17/0.46 % (1738455)# SZS output end Saturation. % 0.17/0.46 % (1738455)------------------------------ % 0.17/0.46 % (1738455)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) % 0.17/0.46 % (1738455)Termination reason: Satisfiable % 0.17/0.46 % 0.17/0.46 % (1738455)Memory used [KB]: 5373 % 0.17/0.46 % (1738455)Time elapsed: 0.003 s % 0.17/0.46 % (1738455)Instructions burned: 1 (million) % 0.17/0.46 % (1738455)------------------------------ % 0.17/0.46 % (1738455)------------------------------ % 0.17/0.46 % (1738445)Success in time 0.017 s %------------------------------------------------------------------------------