%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM713^1 : 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 : n006.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 08:19:23 AM UTC 2026
% Result : Theorem 0.20s 0.28s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 16 ( 15 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 91 ( 11 ~; 0 |; 0 &; 80 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 0 ^; 19 !; 1 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
nat: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
x: nat ).
thf(func_def_1,type,
y: nat ).
thf(func_def_2,type,
z: nat ).
thf(func_def_3,type,
pl: nat > nat > nat ).
thf(func_def_5,type,
ts: nat > nat > nat ).
thf(func_def_8,type,
sK0: nat ).
thf(func_def_9,type,
vNOT: $o > $o ).
thf(f1,axiom,
~ ! [X0: nat] :
( x
!= ( pl @ y @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m) ).
thf(f3,axiom,
! [X0: nat,X1: nat] :
( ( ts @ X0 @ X1 )
= ( ts @ X1 @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz29) ).
thf(f4,axiom,
! [X0: nat,X1: nat,X2: nat] :
( ( ts @ X0 @ ( pl @ X1 @ X2 ) )
= ( pl @ ( ts @ X0 @ X1 ) @ ( ts @ X0 @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz30) ).
thf(f5,conjecture,
~ ! [X0: nat] :
( ( ts @ x @ z )
!= ( pl @ ( ts @ y @ z ) @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz32a) ).
thf(f6,negated_conjecture,
~ ~ ! [X0: nat] :
( ( ts @ x @ z )
!= ( pl @ ( ts @ y @ z ) @ X0 ) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
thf(f10,plain,
! [X0: nat] :
( ( ts @ x @ z )
!= ( pl @ ( ts @ y @ z ) @ X0 ) ),
inference(flattening,[],[f6]) ).
thf(f11,plain,
? [X0: nat] :
( x
= ( pl @ y @ X0 ) ),
inference(ennf_transformation,[],[f1]) ).
thf(f13,plain,
( x
= ( pl @ y @ sK0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f11]) ).
thf(f14,plain,
( x
= ( pl @ y @ sK0 ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f16,plain,
! [X0: nat,X1: nat] :
( ( ts @ X0 @ X1 )
= ( ts @ X1 @ X0 ) ),
inference(cnf_transformation,[],[f3]) ).
thf(f17,plain,
! [X2: nat,X0: nat,X1: nat] :
( ( ts @ X0 @ ( pl @ X1 @ X2 ) )
= ( pl @ ( ts @ X0 @ X1 ) @ ( ts @ X0 @ X2 ) ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f18,plain,
! [X0: nat] :
( ( ts @ x @ z )
!= ( pl @ ( ts @ y @ z ) @ X0 ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f31,plain,
! [X2: nat,X0: nat,X1: nat] :
( ( ts @ X1 @ ( pl @ X0 @ X2 ) )
= ( pl @ ( ts @ X0 @ X1 ) @ ( ts @ X1 @ X2 ) ) ),
inference(constrained_superposition,[],[f17,f16]) ).
thf(f44,plain,
! [X0: nat] :
( ( ts @ x @ z )
!= ( ts @ z @ ( pl @ y @ X0 ) ) ),
inference(constrained_superposition,[],[f18,f31]) ).
thf(f46,plain,
( ( ts @ x @ z )
!= ( ts @ z @ x ) ),
inference(constrained_superposition,[],[f44,f14]) ).
thf(f47,plain,
$false,
inference(forward_subsumption_resolution,[],[f46,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM713^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 % Computer : n006.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 12:44:24 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.23 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
% 0.20/0.28 % (661493)Will run a generic schedule for satisfiability detection.
% 0.20/0.28 % (661498)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=594809031_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.28 % Exception at run slice level
% 0.20/0.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.28 % (661499)% WARNING: option uhcvi not known.
% 0.20/0.28 % (661499)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1971111909:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.28 % (661500)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2063082236:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.28 % (661499)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.28 % (661499)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.20/0.28 % (661506)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=757579418:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.28 % Exception at run slice level
% 0.20/0.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.28 % (661499) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-661493-661499"...
% 0.20/0.28 % (661500) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-661493-661500"...
% 0.20/0.28 % (661504)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1485482033:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.28 % (661499)...printing done.
% 0.20/0.28 % (661500)...printing done.
% 0.20/0.28 % (661499)Refutation found. Thanks to Tanya!
% 0.20/0.28 % SZS status Theorem for theBenchmark
% 0.20/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.28 % (661499)------------------------------
% 0.20/0.28 % (661499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (661499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (661499)CaDiCaL version: 2.1.3
% 0.20/0.28 % (661499)Termination reason: Refutation
% 0.20/0.28 % (661499)Time elapsed: 0.004 s
% 0.20/0.28 % (661499)Peak memory usage: 12 MB
% 0.20/0.28 % (661499)Instructions burned: 5 (million)
% 0.20/0.28 % (661493)Success in time 0.036 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------