%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM713_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 : n013.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 12:25:29 PM UTC 2026
% Result : Theorem 0.11s 0.46s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 11 ( 11 ~; 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; 4 con; 0-2 aty)
% Number of variables : 20 ( 19 !; 1 ?; 20 :)
% 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_4,type,
ts: ( nat * nat ) > nat ).
tff(func_def_5,type,
sK0: nat ).
tff(f1,axiom,
~ ! [X0: nat] : ( x != pl(y,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m) ).
tff(f3,axiom,
! [X0: nat,X1: nat] : ( ts(X0,X1) = ts(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz29) ).
tff(f4,axiom,
! [X0: nat,X1: nat,X2: nat] : ( ts(X0,pl(X1,X2)) = pl(ts(X0,X1),ts(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz30) ).
tff(f5,conjecture,
~ ! [X0: nat] : ( ts(x,z) != pl(ts(y,z),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz32a) ).
tff(f6,negated_conjecture,
~ ~ ! [X0: nat] : ( ts(x,z) != pl(ts(y,z),X0) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
tff(f9,plain,
! [X0: nat] : ( ts(x,z) != pl(ts(y,z),X0) ),
inference(flattening,[],[f6]) ).
tff(f10,plain,
? [X0: nat] : ( x = pl(y,X0) ),
inference(ennf_transformation,[],[f1]) ).
tff(f12,plain,
x = pl(y,sK0),
inference(cnf_transformation,[],[f10]) ).
tff(f13,plain,
! [X0: nat,X1: nat] : ( ts(X0,X1) = ts(X1,X0) ),
inference(cnf_transformation,[],[f3]) ).
tff(f14,plain,
! [X2: nat,X0: nat,X1: nat] : ( ts(X0,pl(X1,X2)) = pl(ts(X0,X1),ts(X0,X2)) ),
inference(cnf_transformation,[],[f4]) ).
tff(f15,plain,
! [X0: nat] : ( ts(x,z) != pl(ts(y,z),X0) ),
inference(cnf_transformation,[],[f9]) ).
tff(f17,plain,
! [X2: nat,X0: nat,X1: nat] : ( ts(X1,pl(X0,X2)) = pl(ts(X0,X1),ts(X1,X2)) ),
inference(superposition,[],[f14,f13]) ).
tff(f25,plain,
! [X0: nat] : ( ts(x,z) != ts(z,pl(y,X0)) ),
inference(superposition,[],[f15,f17]) ).
tff(f26,plain,
ts(x,z) != ts(z,x),
inference(superposition,[],[f25,f12]) ).
tff(f27,plain,
$false,
inference(forward_subsumption_resolution,[],[f26,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM713_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n013.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 21:11:51 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.11/0.46 % (557201)Will run a generic schedule for satisfiability detection.
% 0.11/0.46 % (557206)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=975932454_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.46 % Detected minimum model sizes of [1,1]
% 0.11/0.46 % Detected maximum model sizes of [max,2]
% 0.11/0.46 % TRYING [1,1]
% 0.11/0.46 % TRYING [1,2]
% 0.11/0.46 % TRYING [2,2]
% 0.11/0.46 % TRYING [3,2]
% 0.11/0.46 % (557207)% WARNING: option uhcvi not known.
% 0.11/0.46 % (557210)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1614790528:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.46 % (557207)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4132289902:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.46 % (557209)dis+10_1_sil=32000:sp=arity:random_seed=1942735933:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.46 % (557208)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=703090022:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.46 % TRYING [4,2]
% 0.11/0.46 % (557210) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-557201-557210"...
% 0.11/0.46 % (557207) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-557201-557207"...
% 0.11/0.46 % (557209) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-557201-557209"...
% 0.11/0.46 % (557210)...printing done.
% 0.11/0.46 % (557208) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-557201-557208"...
% 0.11/0.46 % (557207)...printing done.
% 0.11/0.46 % (557209)...printing done.
% 0.11/0.46 % (557210)Refutation found. Thanks to Tanya!
% 0.11/0.46 % SZS status Theorem for theBenchmark
% 0.11/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (557210)------------------------------
% 0.11/0.46 % (557210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (557210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (557210)CaDiCaL version: 2.1.3
% 0.11/0.46 % (557210)Termination reason: Refutation
% 0.11/0.46 % (557210)Time elapsed: 0.002 s
% 0.11/0.46 % (557210)Peak memory usage: 11 MB
% 0.11/0.46 % (557210)Instructions burned: 1 (million)
% 0.11/0.46 % (557201)Success in time 0.046 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------