%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM647_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 : 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 : Tue Sep 29 12:25:10 PM UTC 2026
% Result : Theorem 0.13s 0.46s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 3 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?; 10 :)
% 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(f1,axiom,
pl(x,y) = pl(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i) ).
tff(f3,axiom,
! [X0: nat,X1: nat,X2: nat] :
( ( X1 != X2 )
=> ( pl(X0,X1) != pl(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz8) ).
tff(f4,conjecture,
y = z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz8a) ).
tff(f5,negated_conjecture,
( ( ~ y ) = z ),
inference(negated_conjecture,[status(cth)],[f4]) ).
tff(f9,plain,
y != z,
inference(flattening,[],[f5]) ).
tff(f11,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( pl(X0,X1) != pl(X0,X2) )
| ( X1 = X2 ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f12,plain,
pl(x,y) = pl(x,z),
inference(cnf_transformation,[],[f1]) ).
tff(f14,plain,
! [X2: nat,X0: nat,X1: nat] :
( ( pl(X0,X1) != pl(X0,X2) )
| ( X1 = X2 ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f15,plain,
y != z,
inference(cnf_transformation,[],[f9]) ).
tff(f52,plain,
! [X0: nat] :
( ( pl(x,y) != pl(x,X0) )
| ( z = X0 ) ),
inference(superposition,[],[f14,f12]) ).
tff(f55,plain,
y = z,
inference(equality_resolution,[],[f52]) ).
tff(f56,plain,
$false,
inference(forward_subsumption_resolution,[],[f55,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM647_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n001.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 21:02:16 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.13/0.46 % (3941558)Will run a generic schedule for satisfiability detection.
% 0.13/0.46 % (3941567)dis+10_1_sil=32000:sp=arity:random_seed=2163698222:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.13/0.46 % (3941567) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3941558-3941567"...
% 0.13/0.46 % (3941567)...printing done.
% 0.13/0.46 % (3941565)% WARNING: option uhcvi not known.
% 0.13/0.46 % (3941567)Refutation found. Thanks to Tanya!
% 0.13/0.46 % SZS status Theorem for theBenchmark
% 0.13/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.46 % (3941567)------------------------------
% 0.13/0.46 % (3941567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.46 % (3941567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.46 % (3941567)CaDiCaL version: 2.1.3
% 0.13/0.46 % (3941567)Termination reason: Refutation
% 0.13/0.46 % (3941567)Time elapsed: 0.001 s
% 0.13/0.46 % (3941567)Peak memory usage: 11 MB
% 0.13/0.46 % (3941567)Instructions burned: 1 (million)
% 0.13/0.46 % (3941558)Success in time 0.025 s
% 0.18/0.46 % Vampire exiting
%------------------------------------------------------------------------------