TSTP Solution File: SEV285^5 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV285^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 16:02:38 EDT 2024
% Result : Theorem 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 20 ( 19 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 38 ( 9 ~; 0 |; 5 &; 20 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 2 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 21 ( 0 ^ 15 !; 6 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
b: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
b: $tType ).
thf(func_def_5,type,
sK0: a > b ).
thf(func_def_6,type,
sK1: a > b ).
thf(func_def_8,type,
ph3:
!>[X0: $tType] : X0 ).
thf(func_def_9,type,
sK4: a ).
thf(f12,plain,
$false,
inference(subsumption_resolution,[],[f11,f10]) ).
thf(f10,plain,
! [X2: a] :
( ( sK1 @ X2 )
= ( sK0 @ X2 ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f8,plain,
( ! [X2: a] :
( ( sK1 @ X2 )
= ( sK0 @ X2 ) )
& ( sK1 != sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f7]) ).
thf(f7,plain,
( ? [X0: a > b,X1: a > b] :
( ! [X2: a] :
( ( X0 @ X2 )
= ( X1 @ X2 ) )
& ( X0 != X1 ) )
=> ( ! [X2: a] :
( ( sK1 @ X2 )
= ( sK0 @ X2 ) )
& ( sK1 != sK0 ) ) ),
introduced(choice_axiom,[]) ).
thf(f6,plain,
? [X0: a > b,X1: a > b] :
( ! [X2: a] :
( ( X0 @ X2 )
= ( X1 @ X2 ) )
& ( X0 != X1 ) ),
inference(rectify,[],[f5]) ).
thf(f5,plain,
? [X1: a > b,X0: a > b] :
( ! [X2: a] :
( ( X0 @ X2 )
= ( X1 @ X2 ) )
& ( X0 != X1 ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f4,plain,
~ ! [X1: a > b,X0: a > b] :
( ! [X2: a] :
( ( X0 @ X2 )
= ( X1 @ X2 ) )
=> ( X0 = X1 ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X1: a > b,X0: a > b] :
( ! [X2: a] :
( ( X0 @ X2 )
= ( X1 @ X2 ) )
=> ( X0 = X1 ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X1: a > b,X0: a > b] :
( ! [X2: a] :
( ( X0 @ X2 )
= ( X1 @ X2 ) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEE_eq_) ).
thf(f11,plain,
( ( sK1 @ sK4 )
!= ( sK0 @ sK4 ) ),
inference(negative_extensionality,[],[f9]) ).
thf(f9,plain,
sK1 != sK0,
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEV285^5 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.13 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jun 21 19:43:24 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 This is a TH0_THM_EQU_NAR problem
% 0.13/0.37 Running higher-order theorem proving
% 0.13/0.37 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.13/0.39 % (25722)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.39 % (25716)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.39 % (25717)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 theBenchmark for (2999ds/4Mi)
% 0.13/0.39 % (25718)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 theBenchmark for (2999ds/27Mi)
% 0.13/0.39 % (25719)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.39 % (25722)First to succeed.
% 0.13/0.39 % (25720)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.39 % (25721)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.13/0.39 % (25716)Also succeeded, but the first one will report.
% 0.13/0.39 % (25720)Instruction limit reached!
% 0.13/0.39 % (25720)------------------------------
% 0.13/0.39 % (25720)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.39 % (25720)Termination reason: Unknown
% 0.13/0.39 % (25720)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (25720)Memory used [KB]: 5500
% 0.13/0.39 % (25720)Time elapsed: 0.004 s
% 0.13/0.39 % (25720)Instructions burned: 2 (million)
% 0.13/0.39 % (25720)------------------------------
% 0.13/0.39 % (25720)------------------------------
% 0.13/0.39 % (25717)Also succeeded, but the first one will report.
% 0.13/0.39 % (25722)Refutation found. Thanks to Tanya!
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39 % (25722)------------------------------
% 0.13/0.39 % (25722)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.39 % (25722)Termination reason: Refutation
% 0.13/0.39
% 0.13/0.39 % (25722)Memory used [KB]: 5373
% 0.13/0.39 % (25722)Time elapsed: 0.003 s
% 0.13/0.39 % (25722)Instructions burned: 1 (million)
% 0.13/0.39 % (25722)------------------------------
% 0.13/0.39 % (25722)------------------------------
% 0.13/0.39 % (25715)Success in time 0.018 s
%------------------------------------------------------------------------------