%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO140^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 : Wed Sep 30 08:46:42 AM UTC 2026
% Result : Theorem 0.07s 0.25s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 98 ( 27 equ; 0 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 78 ( 14 ~; 6 |; 8 &; 38 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 0 ^; 14 !; 11 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
cQ: $i > $o ).
thf(func_def_1,type,
cP: $i > $o ).
thf(f1,conjecture,
( ? [X0: $i] : ( cP @ X0 )
=> ( ! [X0: $i] :
( ( cP @ X0 )
=> ( cQ @ X0 ) )
=> ? [X0: $i] : ( cQ @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cADDHYP6) ).
thf(f2,negated_conjecture,
~ ( ? [X0: $i] : ( cP @ X0 )
=> ( ! [X0: $i] :
( ( cP @ X0 )
=> ( cQ @ X0 ) )
=> ? [X0: $i] : ( cQ @ X0 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ? [X0: $i] : ( cP @ X0 )
=> ( ! [X1: $i] :
( ( cP @ X1 )
=> ( cQ @ X1 ) )
=> ? [X2: $i] : ( cQ @ X2 ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ( ? [X0: $i] :
( ( cP @ X0 )
= $true )
=> ( ! [X1: $i] :
( ( ( cP @ X1 )
= $true )
=> ( ( cQ @ X1 )
= $true ) )
=> ? [X2: $i] :
( ( cQ @ X2 )
= $true ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ! [X2: $i] :
( ( cQ @ X2 )
!= $true )
& ! [X1: $i] :
( ( ( cQ @ X1 )
= $true )
| ( ( cP @ X1 )
!= $true ) )
& ? [X0: $i] :
( ( cP @ X0 )
= $true ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
( ! [X2: $i] :
( ( cQ @ X2 )
!= $true )
& ? [X0: $i] :
( ( cP @ X0 )
= $true )
& ! [X1: $i] :
( ( ( cQ @ X1 )
= $true )
| ( ( cP @ X1 )
!= $true ) ) ),
inference(flattening,[],[f5]) ).
thf(f7,plain,
( ! [X0: $i] :
( ( cQ @ X0 )
!= $true )
& ? [X1: $i] :
( ( cP @ X1 )
= $true )
& ! [X2: $i] :
( ( ( cQ @ X2 )
= $true )
| ( ( cP @ X2 )
!= $true ) ) ),
inference(rectify,[],[f6]) ).
thf(f8,plain,
( ! [X0: $i] :
( ( cQ @ X0 )
!= $true )
& ( ( cP @ sK0 )
= $true )
& ! [X2: $i] :
( ( ( cQ @ X2 )
= $true )
| ( ( cP @ X2 )
!= $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0)],[f7]) ).
thf(f9,plain,
! [X2: $i] :
( ( ( cP @ X2 )
!= $true )
| ( ( cQ @ X2 )
= $true ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f10,plain,
( ( cP @ sK0 )
= $true ),
inference(cnf_transformation,[],[f8]) ).
thf(f11,plain,
! [X0: $i] :
( ( cQ @ X0 )
!= $true ),
inference(cnf_transformation,[],[f8]) ).
thf(f14,plain,
( ( $true != $true )
| ( ( cQ @ sK0 )
= $true ) ),
inference(constrained_superposition,[],[f9,f10]) ).
thf(f15,plain,
( ( cQ @ sK0 )
= $true ),
inference(trivial_inequality_removal,[],[f14]) ).
thf(f16,plain,
$false,
inference(forward_subsumption_resolution,[],[f15,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO140^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.16 % Computer : n007.cluster.edu
% 0.07/0.16 % Model : x86_64 x86_64
% 0.07/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.16 % Memory : 8046.5625MB
% 0.07/0.16 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Sep 29 16:32:57 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 Running higher-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.25 % (3599132)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.07/0.25 % (3599145)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.07/0.25 % (3599145)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.07/0.25 % (3599140)lrs+10_16_si=on:nwc=1.5:random_seed=1496713169:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_3000 on theBenchmark for (3000ds/18Mi)
% 0.07/0.25 % (3599139)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3606964548:s2a=on:i=87:rtra=on:ntd=on_3000 on theBenchmark for (3000ds/87Mi)
% 0.07/0.25 % (3599142)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1187724567:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_3000 on theBenchmark for (3000ds/634Mi)
% 0.07/0.25 % (3599141)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2030156586:i=3:rtra=on:inj=on:ntd=on_3000 on theBenchmark for (3000ds/3Mi)
% 0.07/0.25 % (3599144)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4070960602:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_3000 on theBenchmark for (3000ds/75Mi)
% 0.07/0.25 % (3599145)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=4209407190:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_3000 on theBenchmark for (3000ds/157Mi)
% 0.07/0.25 % (3599140) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3599132-3599140"...
% 0.07/0.25 % (3599139) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3599132-3599139"...
% 0.07/0.25 % (3599141) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3599132-3599141"...
% 0.07/0.25 % (3599142) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3599132-3599142"...
% 0.07/0.25 % (3599144) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3599132-3599144"...
% 0.07/0.25 % (3599140)...printing done.
% 0.07/0.25 % (3599139)...printing done.
% 0.07/0.25 % (3599141)...printing done.
% 0.07/0.25 % (3599145) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3599132-3599145"...
% 0.07/0.25 % (3599142)...printing done.
% 0.07/0.25 % (3599144)...printing done.
% 0.07/0.25 % (3599140)Refutation found. Thanks to Tanya!
% 0.07/0.25 % SZS status Theorem for theBenchmark
% 0.07/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.25 % (3599140)------------------------------
% 0.07/0.25 % (3599140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (3599140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (3599140)CaDiCaL version: 2.1.3
% 0.07/0.25 % (3599140)Termination reason: Refutation
% 0.07/0.25 % (3599140)Time elapsed: 0.002 s
% 0.07/0.25 % (3599140)Peak memory usage: 12 MB
% 0.07/0.25 % (3599140)Instructions burned: 1 (million)
% 0.07/0.25 % (3599132)Success in time 0.025 s
% 0.07/0.25 % Vampire exiting
%------------------------------------------------------------------------------