%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWX239_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 01:46:49 PM UTC 2026
% Result : Theorem 0.26s 0.36s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 47 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 182 ( 11 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 74 ( 34 ~; 29 |; 2 &)
% ( 6 <=>; 1 =>; 0 <=; 2 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 95 ( 95 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 3 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 92 ( 88 !; 4 ?; 92 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
cons3: ( $o * $i ) > $i ).
tff(f53,axiom,
! [X0: $i,X1: $i] :
( eps2(y(X0,X1))
<=> ( eps2(X0)
& eps2(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_054) ).
tff(f54,axiom,
! [X0: $i] : eps2(star(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_055) ).
tff(f56,axiom,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
=> ( step(atom(X1),X0) = eps ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_057) ).
tff(f58,axiom,
! [X0: $i,X1: $i,X2: $i] : ( step(x(X1,X2),X0) = x(step(X1,X0),step(X2,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_059) ).
tff(f61,axiom,
! [X0: $i,X1: $i] : ( step(star(X1),X0) = y(step(X1,X0),star(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_062) ).
tff(f62,axiom,
! [X0: $i] :
( rec(X0,nil2)
<=> eps2(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_063) ).
tff(f63,axiom,
! [X0: $i,X1: $i,X2: $i] :
( rec(X0,cons2(X1,X2))
<=> rec(step(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_064) ).
tff(f65,axiom,
reck2(eps,nil2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_066) ).
tff(f70,axiom,
! [X0: $i,X1: $i,X2: $i] :
( reck2(x(X1,X2),X0)
<=> ( reck2(X1,X0)
| reck2(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_071) ).
tff(f73,axiom,
! [X0: $i,X1: $i,X2: $i] :
( reck2(star(X0),cons2(X1,X2))
<=> ( ~ eps2(X0)
& rec(y(X0,star(X0)),cons2(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_074) ).
tff(f76,conjecture,
? [X0: $i,X1: $i] :
( rec(X0,X1)
<~> reck2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_077) ).
tff(f77,negated_conjecture,
~ ? [X0: $i,X1: $i] :
( rec(X0,X1)
<~> reck2(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f76]) ).
tff(f96,plain,
! [X0: $i,X1: $i] :
( ( step(atom(X1),X0) = eps )
| ( X0 != X1 ) ),
inference(ennf_transformation,[],[f56]) ).
tff(f100,plain,
! [X0: $i,X1: $i] :
( rec(X0,X1)
<=> reck2(X0,X1) ),
inference(ennf_transformation,[],[f77]) ).
tff(f163,plain,
! [X0: $i,X1: $i] :
( eps2(y(X0,X1))
| ~ eps2(X0)
| ~ eps2(X1) ),
inference(cnf_transformation,[],[f53]) ).
tff(f164,plain,
! [X0: $i] : eps2(star(X0)),
inference(cnf_transformation,[],[f54]) ).
tff(f166,plain,
! [X0: $i,X1: $i] :
( ( X0 != X1 )
| ( eps = step(atom(X1),X0) ) ),
inference(cnf_transformation,[],[f96]) ).
tff(f168,plain,
! [X2: $i,X0: $i,X1: $i] : ( step(x(X1,X2),X0) = x(step(X1,X0),step(X2,X0)) ),
inference(cnf_transformation,[],[f58]) ).
tff(f171,plain,
! [X0: $i,X1: $i] : ( step(star(X1),X0) = y(step(X1,X0),star(X1)) ),
inference(cnf_transformation,[],[f61]) ).
tff(f172,plain,
! [X0: $i] :
( ~ eps2(X0)
| rec(X0,nil2) ),
inference(cnf_transformation,[],[f62]) ).
tff(f173,plain,
! [X0: $i] :
( eps2(X0)
| ~ rec(X0,nil2) ),
inference(cnf_transformation,[],[f62]) ).
tff(f174,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ rec(step(X0,X1),X2)
| rec(X0,cons2(X1,X2)) ),
inference(cnf_transformation,[],[f63]) ).
tff(f177,plain,
reck2(eps,nil2),
inference(cnf_transformation,[],[f65]) ).
tff(f184,plain,
! [X2: $i,X0: $i,X1: $i] :
( reck2(x(X1,X2),X0)
| ~ reck2(X2,X0) ),
inference(cnf_transformation,[],[f70]) ).
tff(f190,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ reck2(star(X0),cons2(X1,X2))
| ~ eps2(X0) ),
inference(cnf_transformation,[],[f73]) ).
tff(f196,plain,
! [X0: $i,X1: $i] :
( ~ reck2(X0,X1)
| rec(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
tff(f197,plain,
! [X0: $i,X1: $i] :
( reck2(X0,X1)
| ~ rec(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
tff(f200,plain,
! [X1: $i] : ( eps = step(atom(X1),X1) ),
inference(equality_resolution,[],[f166]) ).
tff(f204,plain,
! [X0: $i] :
( rec(X0,nil2)
| eps2(X0) ),
inference(consistent_polarity_flipping,[],[f173]) ).
tff(f205,plain,
! [X0: $i] :
( ~ rec(X0,nil2)
| ~ eps2(X0) ),
inference(consistent_polarity_flipping,[],[f172]) ).
tff(f207,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ rec(X0,cons2(X1,X2))
| rec(step(X0,X1),X2) ),
inference(consistent_polarity_flipping,[],[f174]) ).
tff(f212,plain,
! [X0: $i,X1: $i] :
( rec(X0,X1)
| reck2(X0,X1) ),
inference(consistent_polarity_flipping,[],[f197]) ).
tff(f213,plain,
! [X0: $i,X1: $i] :
( ~ reck2(X0,X1)
| ~ rec(X0,X1) ),
inference(consistent_polarity_flipping,[],[f196]) ).
tff(f244,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ rec(x(X2,X0),X1)
| ~ reck2(X0,X1) ),
inference(resolution,[],[f184,f213]) ).
tff(f247,plain,
! [X0: $i,X1: $i] :
( eps2(x(X1,X0))
| ~ reck2(X0,nil2) ),
inference(resolution,[],[f244,f204]) ).
tff(f261,plain,
! [X2: $i,X0: $i,X1: $i] :
( rec(step(X0,X1),X2)
| reck2(X0,cons2(X1,X2)) ),
inference(resolution,[],[f207,f212]) ).
tff(f273,plain,
! [X0: $i,X1: $i] :
( eps2(step(star(X0),X1))
| ~ eps2(step(X0,X1))
| ~ eps2(star(X0)) ),
inference(superposition,[],[f163,f171]) ).
tff(f274,plain,
! [X0: $i,X1: $i] :
( eps2(step(star(X0),X1))
| ~ eps2(step(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f273,f164]) ).
tff(f293,plain,
! [X0: $i,X1: $i] :
( ~ eps2(step(X0,X1))
| reck2(X0,cons2(X1,nil2)) ),
inference(resolution,[],[f261,f205]) ).
tff(f317,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ reck2(step(X1,X2),nil2)
| eps2(step(x(X0,X1),X2)) ),
inference(superposition,[],[f247,f168]) ).
tff(f561,plain,
! [X0: $i,X1: $i] :
( ~ reck2(eps,nil2)
| eps2(step(x(X1,atom(X0)),X0)) ),
inference(superposition,[],[f317,f200]) ).
tff(f564,plain,
! [X0: $i,X1: $i] : eps2(step(x(X1,atom(X0)),X0)),
inference(forward_subsumption_resolution,[],[f561,f177]) ).
tff(f693,plain,
! [X0: $i,X1: $i] :
( reck2(star(X0),cons2(X1,nil2))
| ~ eps2(step(X0,X1)) ),
inference(resolution,[],[f274,f293]) ).
tff(f714,plain,
! [X0: $i,X1: $i] :
( ~ eps2(step(X0,X1))
| ~ eps2(X0) ),
inference(resolution,[],[f693,f190]) ).
tff(f730,plain,
! [X0: $i,X1: $i] :
( ~ eps2(star(X0))
| ~ eps2(step(X0,X1)) ),
inference(resolution,[],[f714,f274]) ).
tff(f735,plain,
! [X0: $i,X1: $i] : ~ eps2(step(X0,X1)),
inference(forward_subsumption_resolution,[],[f730,f164]) ).
tff(f738,plain,
$false,
inference(backward_subsumption_resolution,[],[f564,f735]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX239_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 % Computer : n015.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 : Mon Sep 28 15:21:02 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.27 Running first-order model finding
% 0.09/0.27 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
% 0.26/0.36 % (2710841)Will run a generic schedule for satisfiability detection.
% 0.26/0.36 % (2710846)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1856356073_2999 on theBenchmark for (2999ds/0Mi)
% 0.26/0.36 % (2710852)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4276334000:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.26/0.36 % Detected minimum model sizes of [3,1]
% 0.26/0.36 % Detected maximum model sizes of [max,2]
% 0.26/0.36 % TRYING [3,1]
% 0.26/0.36 % (2710847)% WARNING: option uhcvi not known.
% 0.26/0.36 % (2710849)dis+10_1_sil=32000:sp=arity:random_seed=142237703:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.26/0.36 % (2710848)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2352593156:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.26/0.36 % (2710847)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=876196044:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.26/0.36 % (2710851)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2004997254:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.26/0.36 % (2710850)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4084383007:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.26/0.36 % TRYING [3,2]
% 0.26/0.36 % TRYING [4,2]
% 0.26/0.36 % (2710847) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2710841-2710847"...
% 0.26/0.36 % (2710847)...printing done.
% 0.26/0.36 % (2710849) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2710841-2710849"...
% 0.26/0.36 % (2710847)Refutation found. Thanks to Tanya!
% 0.26/0.36 % SZS status Theorem for theBenchmark
% 0.26/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.37 % (2710847)------------------------------
% 0.26/0.37 % (2710847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.37 % (2710847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.37 % (2710847)CaDiCaL version: 2.1.3
% 0.26/0.37 % (2710847)Termination reason: Refutation
% 0.26/0.37 % (2710847)Time elapsed: 0.039 s
% 0.26/0.37 % (2710847)Peak memory usage: 12 MB
% 0.26/0.37 % (2710847)Instructions burned: 35 (million)
% 0.26/0.37 % (2710841)Success in time 0.081 s
% 0.26/0.37 % Vampire exiting
%------------------------------------------------------------------------------