%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL732^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 08:15:10 AM UTC 2026
% Result : Theorem 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 125 ( 30 equ; 0 cnn)
% Maximal formula atoms : 6 ( 8 avg)
% Number of connectives : 85 ( 16 ~; 5 |; 8 &; 41 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 27 ( 0 ^; 10 !; 17 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
b: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
p: $i > $o ).
thf(f1,conjecture,
( ! [X0: b > $o] :
? [X1: b] :
( ? [X2: $i] : ( p @ X2 )
=> ( p @ y ) )
=> ? [X3: ( b > $o ) > b] :
! [X0: b > $o] :
( ? [X2: $i] : ( p @ X2 )
=> ( p @ y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX5310_SUB3) ).
thf(f2,negated_conjecture,
~ ( ! [X0: b > $o] :
? [X1: b] :
( ? [X2: $i] : ( p @ X2 )
=> ( p @ y ) )
=> ? [X3: ( b > $o ) > b] :
! [X0: b > $o] :
( ? [X2: $i] : ( p @ X2 )
=> ( p @ y ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ( ? [X2: $i] : ( p @ X2 )
=> ( p @ y ) )
=> ( ? [X5: $i] : ( p @ X5 )
=> ( p @ y ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ( ( ? [X2: $i] :
( ( p @ X2 )
= $true )
=> ( ( p @ y )
= $true ) )
=> ( ? [X5: $i] :
( ( p @ X5 )
= $true )
=> ( ( p @ y )
= $true ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
~ ( ( ? [X0: $i] :
( $true
= ( p @ X0 ) )
=> ( ( p @ y )
= $true ) )
=> ( ? [X1: $i] :
( $true
= ( p @ X1 ) )
=> ( ( p @ y )
= $true ) ) ),
inference(rectify,[],[f4]) ).
thf(f6,plain,
( ( ( p @ y )
!= $true )
& ? [X1: $i] :
( $true
= ( p @ X1 ) )
& ( ( ( p @ y )
= $true )
| ! [X0: $i] :
( $true
!= ( p @ X0 ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f7,plain,
( ( ( p @ y )
!= $true )
& ? [X1: $i] :
( $true
= ( p @ X1 ) )
& ( ( ( p @ y )
= $true )
| ! [X0: $i] :
( $true
!= ( p @ X0 ) ) ) ),
inference(flattening,[],[f6]) ).
thf(f8,plain,
( ( ( p @ y )
!= $true )
& ? [X0: $i] :
( $true
= ( p @ X0 ) )
& ( ( ( p @ y )
= $true )
| ! [X1: $i] :
( $true
!= ( p @ X1 ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f9,plain,
( ( ( p @ y )
!= $true )
& ( $true
= ( p @ sK0 ) )
& ( ( ( p @ y )
= $true )
| ! [X1: $i] :
( $true
!= ( p @ X1 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f8]) ).
thf(f10,plain,
! [X1: $i] :
( ( ( p @ y )
= $true )
| ( $true
!= ( p @ X1 ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f11,plain,
( $true
= ( p @ sK0 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f12,plain,
( ( p @ y )
!= $true ),
inference(cnf_transformation,[],[f9]) ).
thf(f15,plain,
! [X1: $i] :
( $true
!= ( p @ X1 ) ),
inference(forward_subsumption_resolution,[],[f10,f12]) ).
thf(f16,plain,
$true != $true,
inference(constrained_superposition,[],[f15,f11]) ).
thf(f17,plain,
$false,
inference(trivial_inequality_removal,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL732^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n004.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 10:03:22 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.27 % (1092588)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (1092595)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2256562204:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.27 % (1092595) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1092588-1092595"...
% 0.20/0.27 % (1092595)...printing done.
% 0.20/0.27 % (1092594)% WARNING: option uhcvi not known.
% 0.20/0.27 % (1092595)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Theorem for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (1092595)------------------------------
% 0.20/0.27 % (1092595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (1092595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (1092595)CaDiCaL version: 2.1.3
% 0.20/0.27 % (1092595)Termination reason: Refutation
% 0.20/0.27 % (1092595)Time elapsed: 0.001 s
% 0.20/0.27 % (1092595)Peak memory usage: 12 MB
% 0.20/0.27 % (1092595)Instructions burned: 1 (million)
% 0.20/0.27 % (1092588)Success in time 0.033 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------