%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU919^5 : 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 : n026.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 08:34:24 AM UTC 2026
% Result : Theorem 0.08s 0.26s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 58 ( 18 equ; 0 cnn)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 102 ( 7 ~; 0 |; 4 &; 83 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 18 ( 16 ^; 2 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
f: $i > $i ).
thf(func_def_2,type,
g: $i > $i ).
thf(func_def_3,type,
cP: $i > $o ).
thf(func_def_5,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_6,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(f1,conjecture,
( ( ( ^ [X0: $i] : ( f @ ( g @ X0 ) ) )
= ( ^ [X0: $i] : ( g @ ( f @ X0 ) ) ) )
=> ( ( cP @ ( f @ ( g @ a ) ) )
=> ( cP @ ( g @ ( f @ a ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM127_pme) ).
thf(f2,negated_conjecture,
~ ( ( ( ^ [X0: $i] : ( f @ ( g @ X0 ) ) )
= ( ^ [X0: $i] : ( g @ ( f @ X0 ) ) ) )
=> ( ( cP @ ( f @ ( g @ a ) ) )
=> ( cP @ ( g @ ( f @ a ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ( ( ^ [X0: $i] : ( f @ ( g @ X0 ) ) )
= ( ^ [X1: $i] : ( g @ ( f @ X1 ) ) ) )
=> ( ( cP @ ( f @ ( g @ a ) ) )
=> ( cP @ ( g @ ( f @ a ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ( ( ( ^ [Y0: $i] : ( f @ ( g @ Y0 ) ) )
= ( ^ [Y0: $i] : ( g @ ( f @ Y0 ) ) ) )
=> ( ( ( cP @ ( f @ ( g @ a ) ) )
= $true )
=> ( ( cP @ ( g @ ( f @ a ) ) )
= $true ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ( ( cP @ ( g @ ( f @ a ) ) )
!= $true )
& ( ( cP @ ( f @ ( g @ a ) ) )
= $true )
& ( ( ^ [Y0: $i] : ( f @ ( g @ Y0 ) ) )
= ( ^ [Y0: $i] : ( g @ ( f @ Y0 ) ) ) ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
( ( ( cP @ ( g @ ( f @ a ) ) )
!= $true )
& ( ( cP @ ( f @ ( g @ a ) ) )
= $true )
& ( ( ^ [Y0: $i] : ( f @ ( g @ Y0 ) ) )
= ( ^ [Y0: $i] : ( g @ ( f @ Y0 ) ) ) ) ),
inference(flattening,[],[f5]) ).
thf(f7,plain,
( ( ^ [Y0: $i] : ( f @ ( g @ Y0 ) ) )
= ( ^ [Y0: $i] : ( g @ ( f @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f8,plain,
( ( cP @ ( f @ ( g @ a ) ) )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f9,plain,
( ( cP @ ( g @ ( f @ a ) ) )
!= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f12,plain,
! [X1: $i] :
( ( ^ [Y0: $i] : ( f @ ( g @ Y0 ) )
@ X1 )
= ( ^ [Y0: $i] : ( g @ ( f @ Y0 ) )
@ X1 ) ),
inference(argument_congruence,[],[f7]) ).
thf(f13,plain,
! [X1: $i] :
( ( g @ ( f @ X1 ) )
= ( f @ ( g @ X1 ) ) ),
inference(beta-eta_normalization,[],[f12]) ).
thf(f14,plain,
( ( cP @ ( f @ ( g @ a ) ) )
!= $true ),
inference(constrained_superposition,[],[f9,f13]) ).
thf(f15,plain,
$false,
inference(forward_subsumption_resolution,[],[f14,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU919^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n026.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 14:48:57 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.08/0.26 % (695564)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (695571)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1595049621:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.26 % (695571) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-695564-695571"...
% 0.08/0.26 % (695571)...printing done.
% 0.08/0.26 % (695571)Refutation found. Thanks to Tanya!
% 0.08/0.26 % SZS status Theorem for theBenchmark
% 0.08/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.26 % (695571)------------------------------
% 0.08/0.26 % (695571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (695571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (695571)CaDiCaL version: 2.1.3
% 0.08/0.26 % (695571)Termination reason: Refutation
% 0.08/0.26 % (695571)Time elapsed: 0.001 s
% 0.08/0.26 % (695571)Peak memory usage: 12 MB
% 0.08/0.26 % (695571)Instructions burned: 1 (million)
% 0.08/0.26 % (695564)Success in time 0.028 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------