%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM730^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 08:19:24 AM UTC 2026
% Result : Theorem 0.26s 0.32s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 51 ( 15 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 219 ( 5 ~; 0 |; 0 &; 214 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% 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,
orec3: $o > $o > $o > $o ).
thf(func_def_3,type,
ts: nat > nat > nat ).
thf(func_def_4,type,
c1x: frac > nat ).
thf(func_def_5,type,
c2y: frac > nat ).
thf(func_def_6,type,
c1y: frac > nat ).
thf(func_def_7,type,
c2x: frac > nat ).
thf(func_def_8,type,
more: nat > nat > $o ).
thf(func_def_9,type,
less: nat > nat > $o ).
thf(func_def_11,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f1,axiom,
! [X0: nat,X1: nat] : ( orec3 @ ( X0 = X1 ) @ ( more @ X0 @ X1 ) @ ( less @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz10) ).
thf(f2,conjecture,
( orec3
@ ( ( ts @ ( c1x @ x ) @ ( c2y @ y ) )
= ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
@ ( more @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
@ ( less @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz41) ).
thf(f3,negated_conjecture,
~ ( orec3
@ ( ( ts @ ( c1x @ x ) @ ( c2y @ y ) )
= ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
@ ( more @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
@ ( less @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
thf(f4,plain,
! [X0: nat,X1: nat] : ( orec3 @ ( X0 = X1 ) @ ( more @ X0 @ X1 ) @ ( less @ X0 @ X1 ) ),
inference(rectify,[],[f1]) ).
thf(f5,plain,
! [X0: nat,X1: nat] :
( ( orec3 @ ( X0 = X1 ) @ ( more @ X0 @ X1 ) @ ( less @ X0 @ X1 ) )
= $true ),
inference(fool_elimination,[],[f4]) ).
thf(f6,plain,
~ ( orec3
@ ( ( ts @ ( c1x @ x ) @ ( c2y @ y ) )
= ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
@ ( more @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
@ ( less @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f7,plain,
( $true
!= ( orec3
@ ( ( ts @ ( c1x @ x ) @ ( c2y @ y ) )
= ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
@ ( more @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
@ ( less @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f8,plain,
( $true
!= ( orec3
@ ( ( ts @ ( c1x @ x ) @ ( c2y @ y ) )
= ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
@ ( more @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
@ ( less @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) ) ) ),
inference(flattening,[],[f7]) ).
thf(f9,plain,
! [X0: nat,X1: nat] :
( ( orec3 @ ( X0 = X1 ) @ ( more @ X0 @ X1 ) @ ( less @ X0 @ X1 ) )
= $true ),
inference(cnf_transformation,[],[f5]) ).
thf(f10,plain,
( $true
!= ( orec3
@ ( ( ts @ ( c1x @ x ) @ ( c2y @ y ) )
= ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
@ ( more @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
@ ( less @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f53,plain,
$false,
inference(backward_subsumption_resolution,[],[f10,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM730^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 % Computer : n001.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Tue Sep 29 12:52:05 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.28 Running first-order model finding
% 0.09/0.28 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
% 0.26/0.32 % (1185035)Will run a generic schedule for satisfiability detection.
% 0.26/0.32 % (1185041)% WARNING: option uhcvi not known.
% 0.26/0.32 % (1185041)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4231950258:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.26/0.32 % (1185041)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.26/0.32 % (1185041)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.26/0.32 % (1185041) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1185035-1185041"...
% 0.26/0.32 % (1185041)...printing done.
% 0.26/0.32 % (1185040)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2800640284_2999 on theBenchmark for (2999ds/0Mi)
% 0.26/0.32 % (1185041)Refutation found. Thanks to Tanya!
% 0.26/0.32 % SZS status Theorem for theBenchmark
% 0.26/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.32 % (1185041)------------------------------
% 0.26/0.32 % (1185041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.32 % (1185041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.32 % (1185041)CaDiCaL version: 2.1.3
% 0.26/0.32 % (1185041)Termination reason: Refutation
% 0.26/0.32 % (1185041)Time elapsed: 0.003 s
% 0.26/0.32 % (1185041)Peak memory usage: 12 MB
% 0.26/0.32 % (1185041)Instructions burned: 4 (million)
% 0.26/0.32 % (1185035)Success in time 0.026 s
% 0.26/0.32 % Vampire exiting
%------------------------------------------------------------------------------