%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM662_8 : TPTP v9.3.1. Released v8.0.0.
% 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 : Tue Sep 29 12:25:15 PM UTC 2026
% Result : Theorem 0.14s 5.45s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 13 ( 13 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 16 ( 14 !; 2 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
nat: $tType ).
tff(func_def_0,type,
x: nat ).
tff(func_def_1,type,
y: nat ).
tff(func_def_2,type,
z: nat ).
tff(func_def_3,type,
pl: ( nat * nat ) > nat ).
tff(func_def_6,type,
sK0: nat ).
tff(func_def_7,type,
sK1: nat ).
tff(f1,axiom,
~ ! [X0: nat] : ( y != pl(x,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l) ).
tff(f2,axiom,
~ ! [X0: nat] : ( z != pl(y,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k) ).
tff(f4,axiom,
! [X0: nat,X1: nat,X2: nat] : ( pl(pl(X0,X1),X2) = pl(X0,pl(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz5) ).
tff(f5,conjecture,
~ ! [X0: nat] : ( z != pl(x,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz15) ).
tff(f6,negated_conjecture,
~ ~ ! [X0: nat] : ( z != pl(x,X0) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
tff(f10,plain,
! [X0: nat] : ( z != pl(x,X0) ),
inference(flattening,[],[f6]) ).
tff(f11,plain,
? [X0: nat] : ( y = pl(x,X0) ),
inference(ennf_transformation,[],[f1]) ).
tff(f12,plain,
? [X0: nat] : ( z = pl(y,X0) ),
inference(ennf_transformation,[],[f2]) ).
tff(f14,plain,
y = pl(x,sK0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f11]) ).
tff(f15,plain,
z = pl(y,sK1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f12]) ).
tff(f16,plain,
y = pl(x,sK0),
inference(cnf_transformation,[],[f14]) ).
tff(f17,plain,
z = pl(y,sK1),
inference(cnf_transformation,[],[f15]) ).
tff(f19,plain,
! [X2: nat,X0: nat,X1: nat] : ( pl(pl(X0,X1),X2) = pl(X0,pl(X1,X2)) ),
inference(cnf_transformation,[],[f4]) ).
tff(f20,plain,
! [X0: nat] : ( pl(x,X0) != z ),
inference(cnf_transformation,[],[f10]) ).
tff(f58,plain,
! [X0: nat] : ( pl(y,X0) = pl(x,pl(sK0,X0)) ),
inference(superposition,[],[f19,f16]) ).
tff(f61,plain,
! [X0: nat] : ( z != pl(y,X0) ),
inference(superposition,[],[f20,f58]) ).
tff(f63,plain,
z != z,
inference(superposition,[],[f61,f17]) ).
tff(f64,plain,
$false,
inference(trivial_inequality_removal,[],[f63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM662_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/5.37 % Computer : n020.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sun Sep 27 21:01:24 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/5.41 Running first-order model finding
% 0.14/5.41 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
% 0.14/5.45 % (3738281)Will run a generic schedule for satisfiability detection.
% 0.14/5.45 % (3738292)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1855499719:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.14/5.45 % (3738292) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3738281-3738292"...
% 0.14/5.45 % (3738292)...printing done.
% 0.14/5.45 % (3738287)% WARNING: option uhcvi not known.
% 0.14/5.45 % (3738292)Refutation found. Thanks to Tanya!
% 0.14/5.45 % SZS status Theorem for theBenchmark
% 0.14/5.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/5.45 % (3738292)------------------------------
% 0.14/5.45 % (3738292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/5.45 % (3738292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/5.45 % (3738292)CaDiCaL version: 2.1.3
% 0.14/5.45 % (3738292)Termination reason: Refutation
% 0.14/5.45 % (3738292)Time elapsed: 0.001 s
% 0.14/5.45 % (3738292)Peak memory usage: 11 MB
% 0.14/5.45 % (3738292)Instructions burned: 2 (million)
% 0.14/5.45 % (3738281)Success in time 0.029 s
% 0.14/5.45 % Vampire exiting
%------------------------------------------------------------------------------