%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET043^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 08:23:33 AM UTC 2026
% Result : Theorem 0.08s 0.17s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 81 ( 22 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 85 ( 22 ~; 8 |; 2 &; 48 @)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 0 ^; 9 !; 6 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
cE: $i > $i > $o ).
thf(f1,conjecture,
~ ? [X0: $i] :
! [X1: $i] :
( ( cE @ X1 @ X0 )
<=> ~ ( cE @ X1 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cRUSSELL1) ).
thf(f2,negated_conjecture,
~ ~ ? [X0: $i] :
! [X1: $i] :
( ( cE @ X1 @ X0 )
<=> ~ ( cE @ X1 @ X1 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ~ ? [X0: $i] :
! [X1: $i] :
( ( cE @ X1 @ X0 )
<=> ~ ( cE @ X1 @ X1 ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ~ ? [X0: $i] :
! [X1: $i] :
( ( ( cE @ X1 @ X0 )
= $true )
<=> ( ( cE @ X1 @ X1 )
!= $true ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
? [X0: $i] :
! [X1: $i] :
( ( ( cE @ X1 @ X0 )
= $true )
<=> ( ( cE @ X1 @ X1 )
!= $true ) ),
inference(flattening,[],[f4]) ).
thf(f6,plain,
? [X0: $i] :
! [X1: $i] :
( ( ( ( cE @ X1 @ X0 )
= $true )
| ( ( cE @ X1 @ X1 )
= $true ) )
& ( ( ( cE @ X1 @ X1 )
!= $true )
| ( ( cE @ X1 @ X0 )
!= $true ) ) ),
inference(nnf_transformation,[],[f5]) ).
thf(f7,plain,
! [X1: $i] :
( ( ( $true
= ( cE @ X1 @ sK0 ) )
| ( ( cE @ X1 @ X1 )
= $true ) )
& ( ( ( cE @ X1 @ X1 )
!= $true )
| ( $true
!= ( cE @ X1 @ sK0 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f6]) ).
thf(f8,plain,
! [X1: $i] :
( ( ( cE @ X1 @ X1 )
!= $true )
| ( $true
!= ( cE @ X1 @ sK0 ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f9,plain,
! [X1: $i] :
( ( $true
= ( cE @ X1 @ sK0 ) )
| ( ( cE @ X1 @ X1 )
= $true ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f14,plain,
( ( $true != $true )
| ( $true
= ( cE @ sK0 @ sK0 ) ) ),
inference(equality_factoring,[],[f9]) ).
thf(f15,plain,
( $true
= ( cE @ sK0 @ sK0 ) ),
inference(trivial_inequality_removal,[],[f14]) ).
thf(f17,plain,
( ( $true != $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f8,f15]) ).
thf(f18,plain,
$true != $true,
inference(duplicate_literal_removal,[],[f17]) ).
thf(f19,plain,
$false,
inference(trivial_inequality_removal,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET043^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Sep 29 13:35:34 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.12 Running first-order model finding
% 0.08/0.12 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.17 % (106225)Will run a generic schedule for satisfiability detection.
% 0.08/0.17 % (106231)% WARNING: option uhcvi not known.
% 0.08/0.17 % (106231)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4096659980:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.17 % (106233)dis+10_1_sil=32000:sp=arity:random_seed=3774314230:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.17 % (106236)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3133892922:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.17 % (106230)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2391794847_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.17 % (106234)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3400081940:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.17 % (106235)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1728124562:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.17 % (106232)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3039322046:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.17 % (106234)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.08/0.17 % (106231)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.08/0.17 % (106231)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.08/0.17 % Exception at run slice level
% 0.08/0.17 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.08/0.17 % (106236) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-106225-106236"...
% 0.08/0.17 % (106233) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-106225-106233"...
% 0.08/0.17 % (106235) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-106225-106235"...
% 0.08/0.17 % (106234) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-106225-106234"...
% 0.08/0.17 % (106231) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-106225-106231"...
% 0.08/0.17 % (106232) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-106225-106232"...
% 0.08/0.17 % (106236)...printing done.
% 0.08/0.17 % (106235)...printing done.
% 0.08/0.17 % (106234)...printing done.
% 0.08/0.17 % (106233)...printing done.
% 0.08/0.17 % (106231)...printing done.
% 0.08/0.17 % (106232)...printing done.
% 0.08/0.17 % (106235)Refutation found. Thanks to Tanya!
% 0.08/0.17 % SZS status Theorem for theBenchmark
% 0.08/0.17 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.17 % (106235)------------------------------
% 0.08/0.17 % (106235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.17 % (106235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.17 % (106235)CaDiCaL version: 2.1.3
% 0.08/0.17 % (106235)Termination reason: Refutation
% 0.08/0.17 % (106235)Time elapsed: 0.001 s
% 0.08/0.17 % (106235)Peak memory usage: 12 MB
% 0.08/0.17 % (106235)Instructions burned: 1 (million)
% 0.08/0.17 % (106225)Success in time 0.034 s
% 0.08/0.17 % Vampire exiting
%------------------------------------------------------------------------------