%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM748^1 : 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 : n007.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 08:19:26 AM UTC 2026
% Result : Theorem 0.30s 0.26s
% Output : Refutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 34 ( 12 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 304 ( 8 ~; 0 |; 0 &; 296 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
frac: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_7,type,
nat: $tType ).
thf(func_def_0,type,
x: frac ).
thf(func_def_1,type,
y: frac ).
thf(func_def_2,type,
eq: frac > frac > $o ).
thf(func_def_3,type,
fr: nat > nat > frac ).
thf(func_def_4,type,
pl: nat > nat > nat ).
thf(func_def_5,type,
ts: nat > nat > nat ).
thf(func_def_6,type,
num: frac > nat ).
thf(func_def_7,type,
den: frac > nat ).
thf(f1,axiom,
! [X0: frac] : ( eq @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz37) ).
thf(f2,axiom,
! [X0: nat,X1: nat] :
( ( ts @ X0 @ X1 )
= ( ts @ X1 @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz29) ).
thf(f3,axiom,
! [X0: nat,X1: nat] :
( ( pl @ X0 @ X1 )
= ( pl @ X1 @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz6) ).
thf(f4,conjecture,
eq @ ( fr @ ( pl @ ( ts @ ( num @ x ) @ ( den @ y ) ) @ ( ts @ ( num @ y ) @ ( den @ x ) ) ) @ ( ts @ ( den @ x ) @ ( den @ y ) ) ) @ ( fr @ ( pl @ ( ts @ ( num @ y ) @ ( den @ x ) ) @ ( ts @ ( num @ x ) @ ( den @ y ) ) ) @ ( ts @ ( den @ y ) @ ( den @ x ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz58) ).
thf(f5,negated_conjecture,
~ ( eq @ ( fr @ ( pl @ ( ts @ ( num @ x ) @ ( den @ y ) ) @ ( ts @ ( num @ y ) @ ( den @ x ) ) ) @ ( ts @ ( den @ x ) @ ( den @ y ) ) ) @ ( fr @ ( pl @ ( ts @ ( num @ y ) @ ( den @ x ) ) @ ( ts @ ( num @ x ) @ ( den @ y ) ) ) @ ( ts @ ( den @ y ) @ ( den @ x ) ) ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
thf(f6,plain,
! [X0: frac] : ( eq @ X0 @ X0 ),
inference(rectify,[],[f1]) ).
thf(f7,plain,
! [X0: frac] :
( ( eq @ X0 @ X0 )
= $true ),
inference(fool_elimination,[],[f6]) ).
thf(f8,plain,
~ ( eq @ ( fr @ ( pl @ ( ts @ ( num @ x ) @ ( den @ y ) ) @ ( ts @ ( num @ y ) @ ( den @ x ) ) ) @ ( ts @ ( den @ x ) @ ( den @ y ) ) ) @ ( fr @ ( pl @ ( ts @ ( num @ y ) @ ( den @ x ) ) @ ( ts @ ( num @ x ) @ ( den @ y ) ) ) @ ( ts @ ( den @ y ) @ ( den @ x ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f9,plain,
( ( eq @ ( fr @ ( pl @ ( ts @ ( num @ x ) @ ( den @ y ) ) @ ( ts @ ( num @ y ) @ ( den @ x ) ) ) @ ( ts @ ( den @ x ) @ ( den @ y ) ) ) @ ( fr @ ( pl @ ( ts @ ( num @ y ) @ ( den @ x ) ) @ ( ts @ ( num @ x ) @ ( den @ y ) ) ) @ ( ts @ ( den @ y ) @ ( den @ x ) ) ) )
!= $true ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
( ( eq @ ( fr @ ( pl @ ( ts @ ( num @ x ) @ ( den @ y ) ) @ ( ts @ ( num @ y ) @ ( den @ x ) ) ) @ ( ts @ ( den @ x ) @ ( den @ y ) ) ) @ ( fr @ ( pl @ ( ts @ ( num @ y ) @ ( den @ x ) ) @ ( ts @ ( num @ x ) @ ( den @ y ) ) ) @ ( ts @ ( den @ y ) @ ( den @ x ) ) ) )
!= $true ),
inference(flattening,[],[f9]) ).
thf(f11,plain,
! [X0: frac] :
( ( eq @ X0 @ X0 )
= $true ),
inference(cnf_transformation,[],[f7]) ).
thf(f12,plain,
! [X0: nat,X1: nat] :
( ( ts @ X0 @ X1 )
= ( ts @ X1 @ X0 ) ),
inference(cnf_transformation,[],[f2]) ).
thf(f13,plain,
! [X0: nat,X1: nat] :
( ( pl @ X0 @ X1 )
= ( pl @ X1 @ X0 ) ),
inference(cnf_transformation,[],[f3]) ).
thf(f14,plain,
( ( eq @ ( fr @ ( pl @ ( ts @ ( num @ x ) @ ( den @ y ) ) @ ( ts @ ( num @ y ) @ ( den @ x ) ) ) @ ( ts @ ( den @ x ) @ ( den @ y ) ) ) @ ( fr @ ( pl @ ( ts @ ( num @ y ) @ ( den @ x ) ) @ ( ts @ ( num @ x ) @ ( den @ y ) ) ) @ ( ts @ ( den @ y ) @ ( den @ x ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f10]) ).
thf(f32,plain,
( $true
!= ( eq @ ( fr @ ( pl @ ( ts @ ( num @ x ) @ ( den @ y ) ) @ ( ts @ ( num @ y ) @ ( den @ x ) ) ) @ ( ts @ ( den @ x ) @ ( den @ y ) ) ) @ ( fr @ ( pl @ ( ts @ ( num @ y ) @ ( den @ x ) ) @ ( ts @ ( num @ x ) @ ( den @ y ) ) ) @ ( ts @ ( den @ x ) @ ( den @ y ) ) ) ) ),
inference(constrained_superposition,[],[f14,f12]) ).
thf(f43,plain,
( $true
!= ( eq @ ( fr @ ( pl @ ( ts @ ( num @ x ) @ ( den @ y ) ) @ ( ts @ ( num @ y ) @ ( den @ x ) ) ) @ ( ts @ ( den @ x ) @ ( den @ y ) ) ) @ ( fr @ ( pl @ ( ts @ ( num @ x ) @ ( den @ y ) ) @ ( ts @ ( num @ y ) @ ( den @ x ) ) ) @ ( ts @ ( den @ x ) @ ( den @ y ) ) ) ) ),
inference(constrained_superposition,[],[f32,f13]) ).
thf(f51,plain,
$true != $true,
inference(constrained_superposition,[],[f43,f11]) ).
thf(f52,plain,
$false,
inference(trivial_inequality_removal,[],[f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM748^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n007.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 12:47:47 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.30/0.26 % (3312103)Will run a generic schedule for satisfiability detection.
% 0.30/0.26 % (3312109)% WARNING: option uhcvi not known.
% 0.30/0.26 % (3312114)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=543887028:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.30/0.26 % (3312111)dis+10_1_sil=32000:sp=arity:random_seed=2942005535:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.30/0.26 % (3312112)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3220281865:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.30/0.26 % (3312108)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1912961448_2999 on theBenchmark for (2999ds/0Mi)
% 0.30/0.26 % (3312110)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3240395729:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.30/0.26 % (3312112)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.30/0.26 % Exception at run slice level
% 0.30/0.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.30/0.26 % (3312114) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3312103-3312114"...
% 0.30/0.26 % (3312112) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3312103-3312112"...
% 0.30/0.26 % (3312114)...printing done.
% 0.30/0.26 % (3312114)Refutation found. Thanks to Tanya!
% 0.30/0.26 % SZS status Theorem for theBenchmark
% 0.30/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.30/0.26 % (3312114)------------------------------
% 0.30/0.26 % (3312114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.26 % (3312114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.26 % (3312114)CaDiCaL version: 2.1.3
% 0.30/0.26 % (3312114)Termination reason: Refutation
% 0.30/0.26 % (3312114)Time elapsed: 0.003 s
% 0.30/0.26 % (3312114)Peak memory usage: 12 MB
% 0.30/0.26 % (3312114)Instructions burned: 8 (million)
% 0.30/0.26 % (3312103)Success in time 0.032 s
% 0.30/0.26 % Vampire exiting
%------------------------------------------------------------------------------