%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM738^1 : TPTP v9.3.1. Released v3.7.0.
% 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 08:19:25 AM UTC 2026
% Result : Theorem 0.08s 0.15s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 46 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 203 ( 59 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 225 ( 30 ~; 24 |; 0 &; 156 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 50 ( 0 ^; 50 !; 0 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
frac: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
x: frac ).
thf(func_def_1,type,
y: frac ).
thf(func_def_2,type,
z: frac ).
thf(func_def_3,type,
u: frac ).
thf(func_def_4,type,
lessf: frac > frac > $o ).
thf(func_def_6,type,
eq: frac > frac > $o ).
thf(func_def_7,type,
moref: frac > frac > $o ).
thf(f1,axiom,
lessf @ x @ y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l) ).
thf(f2,axiom,
eq @ x @ z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e) ).
thf(f3,axiom,
eq @ y @ u,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f) ).
thf(f4,axiom,
! [X0: frac,X1: frac] :
( ( moref @ X0 @ X1 )
=> ( lessf @ X1 @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz42) ).
thf(f5,axiom,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( ( moref @ X0 @ X1 )
=> ( ( eq @ X0 @ X2 )
=> ( ( eq @ X1 @ X3 )
=> ( moref @ X2 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz44) ).
thf(f6,axiom,
! [X0: frac,X1: frac] :
( ( lessf @ X0 @ X1 )
=> ( moref @ X1 @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz43) ).
thf(f7,conjecture,
lessf @ z @ u,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz45) ).
thf(f8,negated_conjecture,
~ ( lessf @ z @ u ),
inference(negated_conjecture,[status(cth)],[f7]) ).
thf(f9,plain,
lessf @ x @ y,
inference(rectify,[],[f1]) ).
thf(f10,plain,
( ( lessf @ x @ y )
= $true ),
inference(fool_elimination,[],[f9]) ).
thf(f11,plain,
eq @ x @ z,
inference(rectify,[],[f2]) ).
thf(f12,plain,
( ( eq @ x @ z )
= $true ),
inference(fool_elimination,[],[f11]) ).
thf(f13,plain,
eq @ y @ u,
inference(rectify,[],[f3]) ).
thf(f14,plain,
( ( eq @ y @ u )
= $true ),
inference(fool_elimination,[],[f13]) ).
thf(f15,plain,
! [X0: frac,X1: frac] :
( ( moref @ X0 @ X1 )
=> ( lessf @ X1 @ X0 ) ),
inference(rectify,[],[f4]) ).
thf(f16,plain,
! [X0: frac,X1: frac] :
( ( ( moref @ X0 @ X1 )
= $true )
=> ( ( lessf @ X1 @ X0 )
= $true ) ),
inference(fool_elimination,[],[f15]) ).
thf(f17,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( ( moref @ X0 @ X1 )
=> ( ( eq @ X0 @ X2 )
=> ( ( eq @ X1 @ X3 )
=> ( moref @ X2 @ X3 ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f18,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( ( ( moref @ X0 @ X1 )
= $true )
=> ( ( ( eq @ X0 @ X2 )
= $true )
=> ( ( ( eq @ X1 @ X3 )
= $true )
=> ( ( moref @ X2 @ X3 )
= $true ) ) ) ),
inference(fool_elimination,[],[f17]) ).
thf(f19,plain,
! [X0: frac,X1: frac] :
( ( lessf @ X0 @ X1 )
=> ( moref @ X1 @ X0 ) ),
inference(rectify,[],[f6]) ).
thf(f20,plain,
! [X0: frac,X1: frac] :
( ( ( lessf @ X0 @ X1 )
= $true )
=> ( ( moref @ X1 @ X0 )
= $true ) ),
inference(fool_elimination,[],[f19]) ).
thf(f21,plain,
~ ( lessf @ z @ u ),
inference(rectify,[],[f8]) ).
thf(f22,plain,
( ( lessf @ z @ u )
!= $true ),
inference(fool_elimination,[],[f21]) ).
thf(f23,plain,
( ( lessf @ z @ u )
!= $true ),
inference(flattening,[],[f22]) ).
thf(f24,plain,
! [X0: frac,X1: frac] :
( ( ( lessf @ X1 @ X0 )
= $true )
| ( ( moref @ X0 @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f16]) ).
thf(f25,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( ( ( moref @ X2 @ X3 )
= $true )
| ( ( eq @ X1 @ X3 )
!= $true )
| ( ( eq @ X0 @ X2 )
!= $true )
| ( ( moref @ X0 @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f18]) ).
thf(f26,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( ( ( moref @ X2 @ X3 )
= $true )
| ( ( eq @ X1 @ X3 )
!= $true )
| ( ( eq @ X0 @ X2 )
!= $true )
| ( ( moref @ X0 @ X1 )
!= $true ) ),
inference(flattening,[],[f25]) ).
thf(f27,plain,
! [X0: frac,X1: frac] :
( ( ( moref @ X1 @ X0 )
= $true )
| ( ( lessf @ X0 @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f20]) ).
thf(f28,plain,
( ( lessf @ x @ y )
= $true ),
inference(cnf_transformation,[],[f10]) ).
thf(f29,plain,
( ( eq @ x @ z )
= $true ),
inference(cnf_transformation,[],[f12]) ).
thf(f30,plain,
( ( eq @ y @ u )
= $true ),
inference(cnf_transformation,[],[f14]) ).
thf(f31,plain,
! [X0: frac,X1: frac] :
( ( ( moref @ X0 @ X1 )
!= $true )
| ( ( lessf @ X1 @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f32,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( ( ( moref @ X0 @ X1 )
!= $true )
| ( ( eq @ X1 @ X3 )
!= $true )
| ( ( eq @ X0 @ X2 )
!= $true )
| ( ( moref @ X2 @ X3 )
= $true ) ),
inference(cnf_transformation,[],[f26]) ).
thf(f33,plain,
! [X0: frac,X1: frac] :
( ( ( lessf @ X0 @ X1 )
!= $true )
| ( ( moref @ X1 @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f27]) ).
thf(f34,plain,
( ( lessf @ z @ u )
!= $true ),
inference(cnf_transformation,[],[f23]) ).
thf(f53,plain,
( ( $true != $true )
| ( $true
= ( moref @ y @ x ) ) ),
inference(constrained_superposition,[],[f33,f28]) ).
thf(f54,plain,
( $true
= ( moref @ y @ x ) ),
inference(trivial_inequality_removal,[],[f53]) ).
thf(f83,plain,
! [X0: frac,X1: frac] :
( ( $true != $true )
| ( $true
!= ( eq @ x @ X0 ) )
| ( $true
!= ( eq @ y @ X1 ) )
| ( ( moref @ X1 @ X0 )
= $true ) ),
inference(constrained_superposition,[],[f32,f54]) ).
thf(f87,plain,
! [X0: frac,X1: frac] :
( ( $true
!= ( eq @ y @ X1 ) )
| ( $true
!= ( eq @ x @ X0 ) )
| ( ( moref @ X1 @ X0 )
= $true ) ),
inference(trivial_inequality_removal,[],[f83]) ).
thf(f90,plain,
! [X0: frac] :
( ( $true != $true )
| ( $true
!= ( eq @ x @ X0 ) )
| ( $true
= ( moref @ u @ X0 ) ) ),
inference(constrained_superposition,[],[f87,f30]) ).
thf(f91,plain,
! [X0: frac] :
( ( $true
!= ( eq @ x @ X0 ) )
| ( $true
= ( moref @ u @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f90]) ).
thf(f94,plain,
( ( $true != $true )
| ( $true
= ( moref @ u @ z ) ) ),
inference(constrained_superposition,[],[f91,f29]) ).
thf(f95,plain,
( $true
= ( moref @ u @ z ) ),
inference(trivial_inequality_removal,[],[f94]) ).
thf(f100,plain,
( ( $true != $true )
| ( ( lessf @ z @ u )
= $true ) ),
inference(constrained_superposition,[],[f31,f95]) ).
thf(f101,plain,
( ( lessf @ z @ u )
= $true ),
inference(trivial_inequality_removal,[],[f100]) ).
thf(f107,plain,
$true != $true,
inference(constrained_superposition,[],[f34,f101]) ).
thf(f110,plain,
$false,
inference(trivial_inequality_removal,[],[f107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM738^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 12:46:18 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 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
% 0.08/0.15 % (55513)Will run a generic schedule for satisfiability detection.
% 0.08/0.15 % (55519)% WARNING: option uhcvi not known.
% 0.08/0.15 % (55518)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=72119847_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.15 % (55519)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2863571797:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.15 % (55522)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2337948660:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.15 % (55520)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=667232950:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.15 % (55521)dis+10_1_sil=32000:sp=arity:random_seed=3857011180:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.15 % (55519)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.08/0.15 % (55522)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.08/0.15 % (55519)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.08/0.15 % Exception at run slice level
% 0.08/0.15 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs% (55523)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2339499647:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.15
% 0.08/0.15 % (55524)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1868847563:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.15 % (55524) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-55513-55524"...
% 0.08/0.15 % (55523) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-55513-55523"...
% 0.08/0.15 % (55521) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-55513-55521"...
% 0.08/0.15 % (55519) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-55513-55519"...
% 0.08/0.15 % (55524)...printing done.
% 0.08/0.15 % (55523)...printing done.
% 0.08/0.15 % (55520) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-55513-55520"...
% 0.08/0.15 % (55524)Refutation found. Thanks to Tanya!
% 0.08/0.15 % SZS status Theorem for theBenchmark
% 0.08/0.15 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.15 % (55524)------------------------------
% 0.08/0.15 % (55524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.15 % (55524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.15 % (55524)CaDiCaL version: 2.1.3
% 0.08/0.15 % (55524)Termination reason: Refutation
% 0.08/0.15 % (55524)Time elapsed: 0.002 s
% 0.08/0.15 % (55524)Peak memory usage: 12 MB
% 0.08/0.15 % (55524)Instructions burned: 6 (million)
% 0.08/0.15 % (55513)Success in time 0.026 s
% 0.08/0.15 % Vampire exiting
%------------------------------------------------------------------------------