%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO379^5 : TPTP v9.3.1. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 08:49:49 AM UTC 2026
% Result : Theorem 0.10s 0.27s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 87 ( 40 equ; 4 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 56 ( 9 ~; 3 |; 7 &; 31 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 12 usr; 5 con; 0-4 aty)
% ( 0 !!; 6 ??; 0 @@+; 0 @@-)
% Number of variables : 32 ( 15 ^; 11 !; 6 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
cQDP0: $i > $o ).
thf(func_def_2,type,
cQDP1: ( $i > $o ) > $o ).
thf(func_def_4,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_5,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_6,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_7,type,
vAND: $o > $o > $o ).
thf(func_def_8,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_9,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
vNOT: $o > $o ).
thf(func_def_13,type,
sK0: ( $i > $o ) > $i ).
thf(f1,axiom,
( cQDP0
= ( ^ [X0: $i] : ( X0 = c ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cQDP0_def) ).
thf(f2,axiom,
( cQDP1
= ( ^ [X0: $i > $o] :
( ? [X1: $i] : ( X0 @ X1 )
& ( X0 = cQDP0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cQDP1_def) ).
thf(f3,conjecture,
? [X0: $i > $o] : ( cQDP1 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cQDTHM1) ).
thf(f4,negated_conjecture,
~ ? [X0: $i > $o] : ( cQDP1 @ X0 ),
inference(negated_conjecture,[status(cth)],[f3]) ).
thf(f5,plain,
( cQDP0
= ( ^ [Y0: $i] : ( c = Y0 ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f6,plain,
( cQDP1
= ( ^ [X0: $i > $o] :
( ? [X1: $i] : ( X0 @ X1 )
& ( X0 = cQDP0 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f7,plain,
( cQDP1
= ( ^ [Y0: $i > $o] :
( ( cQDP0 = Y0 )
& ( ?? @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f8,plain,
~ ? [X0: $i > $o] : ( cQDP1 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f9,plain,
~ ? [X0: $i > $o] :
( ( cQDP1 @ X0 )
= $true ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i > $o] :
( ( cQDP1 @ X0 )
!= $true ),
inference(ennf_transformation,[],[f9]) ).
thf(f11,plain,
( cQDP0
= ( ^ [Y0: $i] : ( c = Y0 ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f12,plain,
( cQDP1
= ( ^ [Y0: $i > $o] :
( ( cQDP0 = Y0 )
& ( ?? @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f13,plain,
! [X0: $i > $o] :
( ( cQDP1 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f10]) ).
thf(f16,plain,
( cQDP1
= ( ^ [Y0: $i > $o] :
( ( ( ^ [Y1: $i] : ( c = Y1 ) )
= Y0 )
& ( ?? @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) ),
inference(definition_unfolding,[],[f12,f11]) ).
thf(f17,plain,
! [X0: $i > $o] :
( $true
!= ( ^ [Y0: $i > $o] :
( ( ( ^ [Y1: $i] : ( c = Y1 ) )
= Y0 )
& ( ?? @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) )
@ X0 ) ),
inference(definition_unfolding,[],[f13,f16]) ).
thf(f18,plain,
! [X0: $i > $o] :
( $true
!= ( ( ( (=) @ c )
= X0 )
& ( ?? @ $i @ X0 ) ) ),
inference(beta-eta_normalization,[],[f17]) ).
thf(f19,plain,
! [X0: $i > $o] :
( ( $false
= ( ?? @ $i @ X0 ) )
| ( $false
= ( ( (=) @ c )
= X0 ) ) ),
inference(and_proxy_clausification,[],[f18]) ).
thf(f20,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ X1 )
= $false )
| ( $false
= ( ( (=) @ c )
= X0 ) ) ),
inference(pi_proxy_clausification,[],[f19]) ).
thf(f21,plain,
! [X0: $i > $o,X1: $i] :
( ( ( (=) @ c )
!= X0 )
| ( ( X0 @ X1 )
= $false ) ),
inference(equality_proxy_clausification,[],[f20]) ).
thf(f23,plain,
! [X0: $i] :
( $false
= ( c = X0 ) ),
inference(equality_resolution,[],[f21]) ).
thf(f24,plain,
! [X0: $i] : ( c != X0 ),
inference(equality_proxy_clausification,[],[f23]) ).
thf(f29,plain,
$false,
inference(equality_resolution,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO379^5 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n020.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 16:50:49 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 Running first-order model finding
% 0.10/0.22 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
% 0.10/0.27 % (1299595)Will run a generic schedule for satisfiability detection.
% 0.10/0.27 % (1299604)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1166777827:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.27 % (1299604)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.10/0.27 % (1299601)% WARNING: option uhcvi not known.
% 0.10/0.27 % (1299600)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=875855462_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.27 % (1299602)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4056252184:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.27 % (1299601)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1002881218:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.27 % Exception at run slice level
% 0.10/0.27 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.10/0.27 % (1299603)dis+10_1_sil=32000:sp=arity:random_seed=4291239516:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.27 % (1299601)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.10/0.27 % (1299605)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3944449486:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.27 % (1299601)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.10/0.27 % (1299606)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2648880343:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.27 % (1299603) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1299595-1299603"...
% 0.10/0.27 % (1299601) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1299595-1299601"...
% 0.10/0.27 % (1299602) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1299595-1299602"...
% 0.10/0.27 % (1299605) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1299595-1299605"...
% 0.10/0.27 % (1299606) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1299595-1299606"...
% 0.10/0.27 % (1299603)...printing done.
% 0.10/0.27 % (1299601)...printing done.
% 0.10/0.27 % (1299602)...printing done.
% 0.10/0.27 % (1299605)...printing done.
% 0.10/0.27 % (1299606)...printing done.
% 0.10/0.27 % (1299603)Refutation found. Thanks to Tanya!
% 0.10/0.27 % SZS status Theorem for theBenchmark
% 0.10/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.27 % (1299603)------------------------------
% 0.10/0.27 % (1299603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.27 % (1299603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.27 % (1299603)CaDiCaL version: 2.1.3
% 0.10/0.27 % (1299603)Termination reason: Refutation
% 0.10/0.27 % (1299603)Time elapsed: 0.002 s
% 0.10/0.27 % (1299603)Peak memory usage: 12 MB
% 0.10/0.27 % (1299603)Instructions burned: 1 (million)
% 0.10/0.27 % (1299595)Success in time 0.038 s
% 0.10/0.27 % Vampire exiting
%------------------------------------------------------------------------------