%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : LCL633^1 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n010.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 11:34:27 AM UTC 2026
% Result : CounterSatisfiable 0.11s 0.43s
% Output : Saturation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL633^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.33 % Computer : n010.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.33 % WCLimit : 300
% 0.08/0.33 % DateTime : Sat Sep 5 04:53:38 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 ---- Original DTF file ---
% 0.11/0.36 thf(spec,logic,$$dhol).
% 0.11/0.36 %------------------------------------------------------------------------------
% 0.11/0.36 % File : LCL633^1 : TPTP v9.3.1. Released v3.6.0.
% 0.11/0.36 % Domain : Logical Calculi
% 0.11/0.36 % Problem : Goedel's ontological argument on the existence of God
% 0.11/0.36 % Version : [Ben08] axioms.
% 0.11/0.36 % English :
% 0.11/0.36
% 0.11/0.36 % Refs : [Fit00] Fitting (2000), Higher-Order Modal Logic - A Sketch
% 0.11/0.36 % : [Ben08] Benzmueller (2008), Email to G. Sutcliffe
% 0.11/0.36 % Source : [Ben08]
% 0.11/0.36 % Names : Fitting-HOLML-Ex-God-alternative-a [Ben08]
% 0.11/0.36
% 0.11/0.36 % Status : CounterSatisfiable
% 0.11/0.36 % Rating : 1.00 v9.3.0, 0.67 v9.0.0, 1.00 v8.1.0, 0.60 v7.4.0, 0.50 v7.2.0, 0.33 v6.4.0, 0.67 v6.3.0, 0.33 v4.1.0, 0.00 v3.7.0
% 0.11/0.36 % Syntax : Number of formulae : 44 ( 17 unt; 25 typ; 17 def)
% 0.11/0.36 % Number of atoms : 58 ( 17 equ; 0 cnn)
% 0.11/0.36 % Maximal formula atoms : 6 ( 3 avg)
% 0.11/0.36 % Number of connectives : 66 ( 3 ~; 1 |; 2 &; 59 @)
% 0.11/0.36 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.11/0.36 % Maximal formula depth : 8 ( 2 avg)
% 0.11/0.36 % Number of types : 4 ( 2 usr)
% 0.11/0.36 % Number of type conns : 100 ( 100 >; 0 *; 0 +; 0 <<)
% 0.11/0.36 % Number of symbols : 26 ( 23 usr; 3 con; 0-3 aty)
% 0.11/0.36 % Number of variables : 49 ( 36 ^; 9 !; 4 ?; 49 :)
% 0.11/0.36 % SPC : TH0_CSA_EQU_NAR_NDT
% 0.11/0.36
% 0.11/0.36 % Comments : .
% 0.11/0.36 % : This problem is known to be bugged. It is intended to be a theorem
% 0.11/0.36 % but there is a flaw in the encoding. Benzmueller says "... makes
% 0.11/0.36 % really no sense, I have used normal quantification in there
% 0.11/0.36 % instead of modal quantification. It is unclear what this does."
% 0.11/0.36 %------------------------------------------------------------------------------
% 0.11/0.36 %----Include simple maths definitions and axioms
% 0.11/0.36 include('Axioms/LCL008^0.ax').
% 0.11/0.36 %------------------------------------------------------------------------------
% 0.11/0.36 %----Signature
% 0.11/0.36 thf(a_type,type,
% 0.11/0.36 a: $tType ).
% 0.11/0.36
% 0.11/0.36 thf(p_type,type,
% 0.11/0.36 p: ( a > $i > $o ) > $i > $o ).
% 0.11/0.36
% 0.11/0.36 thf(g_type,type,
% 0.11/0.36 g: a > $i > $o ).
% 0.11/0.36
% 0.11/0.36 thf(e_type,type,
% 0.11/0.36 e: ( a > $i > $o ) > a > $i > $o ).
% 0.11/0.36
% 0.11/0.36 thf(r_type,type,
% 0.11/0.36 r: $i > $i > $o ).
% 0.11/0.36
% 0.11/0.36 %----Axioms
% 0.11/0.36 thf(positiveness,axiom,
% 0.11/0.36 ! [X: a > $i > $o] :
% 0.11/0.36 ( mvalid
% 0.11/0.36 @ ( mimpl @ ( mnot @ ( p @ X ) )
% 0.11/0.36 @ ( p
% 0.11/0.36 @ ^ [Z: a] : ( mnot @ ( X @ Z ) ) ) ) ) ).
% 0.11/0.36
% 0.11/0.36 thf(g,definition,
% 0.11/0.36 ( g
% 0.11/0.36 = ( ^ [Z: a,W: $i] :
% 0.11/0.36 ! [X: a > $i > $o] : ( mimpl @ ( p @ X ) @ ( X @ Z ) @ W ) ) ) ).
% 0.11/0.36
% 0.11/0.36 thf(e,definition,
% 0.11/0.36 ( e
% 0.11/0.36 = ( ^ [X: a > $i > $o,Z: a,P: $i] :
% 0.11/0.36 ! [Y: a > $i > $o] :
% 0.11/0.36 ( mimpl @ ( Y @ Z )
% 0.11/0.36 @ ( mbox @ r
% 0.11/0.36 @ ^ [Q: $i] :
% 0.11/0.36 ! [W: a] : ( mimpl @ ( X @ W ) @ ( Y @ W ) @ Q ) )
% 0.11/0.36 @ P ) ) ) ).
% 0.11/0.36
% 0.11/0.36 %----Conjecture
% 0.11/0.36 thf(thm,conjecture,
% 0.11/0.36 ( mvalid
% 0.11/0.36 @ ^ [W: $i] :
% 0.11/0.36 ! [Z: a] : ( mimpl @ ( g @ Z ) @ ( e @ g @ Z ) @ W ) ) ).
% 0.11/0.36
% 0.11/0.36 %------------------------------------------------------------------------------
% 0.11/0.36 ------------------------
% 0.11/0.36 /starexec/sw/sutcliffe/jdk-11.0.2/bin/java: Command not found.
% 0.11/0.37 ---- Embedded in THF ---
% 0.11/0.37 ------------------------
% 0.11/0.39 ---- Cleaned THF ---
% 0.11/0.39 ------------------------
% 0.11/0.42 % (387495)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_387476 for (2999ds/27Mi)
% 0.11/0.43 % (387495)Refutation not found, incomplete strategy
% 0.11/0.43 % (387495)------------------------------
% 0.11/0.43 % (387495)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.11/0.43 % (387495)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.43
% 0.11/0.43
% 0.11/0.43 % (387495)Memory used [KB]: 5373
% 0.11/0.43 % (387495)Time elapsed: 0.002 s
% 0.11/0.43 % (387495)------------------------------
% 0.11/0.43 % (387495)------------------------------
% 0.11/0.43 % (387493)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_387476 for (2999ds/183Mi)
% 0.11/0.43 % (387493)First to succeed.
% 0.11/0.43 % SZS status Satisfiable for DTF2THF_387476
% 0.11/0.43 % (387493)# SZS output start Saturation.
% 0.11/0.43 % (387493)# SZS output end Saturation.
% 0.11/0.43 % (387493)------------------------------
% 0.11/0.43 % (387493)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.11/0.43 % (387493)Termination reason: Satisfiable
% 0.11/0.43
% 0.11/0.43 % (387493)Memory used [KB]: 5373
% 0.11/0.43 % (387493)Time elapsed: 0.003 s
% 0.11/0.43 % (387493)------------------------------
% 0.11/0.43 % (387493)------------------------------
% 0.11/0.43 % (387491)Success in time 0.028 s
%------------------------------------------------------------------------------