%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWX222-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 01:46:46 PM UTC 2026
% Result : Unsatisfiable 0.26s 0.36s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 30 ( 30 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 12 ( 12 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 6 con; 0-4 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X2,X3,X0,X1] : aux(X0,X1,X2,just(X3)) = eq(X3,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_001) ).
fof(f3,axiom,
notb(btrue) = bfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_002) ).
fof(f4,plain,
bfalse = notb(btrue),
inference(reorient_equations,[],[f3]) ).
fof(f9,axiom,
! [X0,X1] : index(cons(X0,X1),zero) = just(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_005) ).
fof(f11,axiom,
! [X0] : andb(btrue,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_007) ).
fof(f18,axiom,
! [X0] : nf(lam(X0)) = nf(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_012) ).
fof(f19,axiom,
! [X0] : nf(var(X0)) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_013) ).
fof(f20,plain,
! [X0] : btrue = nf(var(X0)),
inference(reorient_equations,[],[f19]) ).
fof(f22,axiom,
! [X2,X3,X0,X1] : tc(X0,lam(X1),arr(X2,X3)) = tc(cons(X2,X0),X1,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_015) ).
fof(f29,axiom,
! [X2,X0,X1] : tc(X0,var(X1),X2) = aux(X0,X2,X1,index(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_019) ).
fof(f30,axiom,
! [X0] : sat_synth_nf_k(X0) = notb(andb(nf(X0),tc(nil,X0,arr(a,arr(b,b))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_020) ).
fof(f90,axiom,
! [X0] : eq(X0,X0) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_051) ).
fof(f91,plain,
! [X0] : btrue = eq(X0,X0),
inference(reorient_equations,[],[f90]) ).
fof(f96,axiom,
! [X0] : eq4(X0,X0) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_054) ).
fof(f97,plain,
! [X0] : btrue = eq4(X0,X0),
inference(reorient_equations,[],[f96]) ).
fof(f98,negated_conjecture,
! [X0] : eq4(sat_synth_nf_k(X0),bfalse) != btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f99,plain,
! [X0] : btrue != eq4(sat_synth_nf_k(X0),bfalse),
inference(reorient_equations,[],[f98]) ).
fof(f104,plain,
! [X0] : btrue != eq4(notb(andb(nf(X0),tc(nil,X0,arr(a,arr(b,b))))),bfalse),
inference(definition_unfolding,[],[f99,f30]) ).
fof(f107,plain,
! [X0] : btrue != eq4(notb(andb(nf(X0),tc(nil,lam(X0),arr(a,arr(b,b))))),bfalse),
inference(superposition,[],[f104,f18]) ).
fof(f109,plain,
! [X0] : btrue != eq4(notb(andb(nf(X0),tc(nil,lam(lam(X0)),arr(a,arr(b,b))))),bfalse),
inference(superposition,[],[f107,f18]) ).
fof(f111,plain,
! [X0] : btrue != eq4(notb(andb(btrue,tc(nil,lam(lam(var(X0))),arr(a,arr(b,b))))),bfalse),
inference(superposition,[],[f109,f20]) ).
fof(f113,plain,
! [X0] : btrue != eq4(notb(tc(nil,lam(lam(var(X0))),arr(a,arr(b,b)))),bfalse),
inference(forward_demodulation,[],[f111,f11]) ).
fof(f166,plain,
! [X2,X0,X1] : tc(cons(X0,X1),var(zero),X2) = aux(cons(X0,X1),X2,zero,just(X0)),
inference(superposition,[],[f29,f9]) ).
fof(f168,plain,
! [X2,X0,X1] : tc(cons(X0,X1),var(zero),X2) = eq(X0,X2),
inference(forward_demodulation,[],[f166,f2]) ).
fof(f175,plain,
! [X0] : btrue != eq4(notb(tc(cons(a,nil),lam(var(X0)),arr(b,b))),bfalse),
inference(superposition,[],[f113,f22]) ).
fof(f190,plain,
! [X0] : btrue != eq4(notb(tc(cons(b,cons(a,nil)),var(X0),b)),bfalse),
inference(forward_demodulation,[],[f175,f22]) ).
fof(f412,plain,
btrue != eq4(notb(eq(b,b)),bfalse),
inference(superposition,[],[f190,f168]) ).
fof(f415,plain,
btrue != eq4(notb(btrue),bfalse),
inference(forward_demodulation,[],[f412,f91]) ).
fof(f418,plain,
btrue != eq4(bfalse,bfalse),
inference(forward_demodulation,[],[f415,f4]) ).
fof(f420,plain,
$false,
inference(forward_subsumption_resolution,[],[f418,f97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWX222-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.26 % Computer : n017.cluster.edu
% 0.10/0.26 % Model : x86_64 x86_64
% 0.10/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26 % Memory : 8046.5625MB
% 0.10/0.26 % OS : Linux 6.8.0-71-generic
% 0.10/0.26 % CPULimit : 300
% 0.10/0.26 % WCLimit : 300
% 0.10/0.26 % DateTime : Mon Sep 28 15:08:36 UTC 2026
% 0.10/0.26 % CPUTime :
% 0.10/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.31 Running first-order model finding
% 0.26/0.31 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
% 0.26/0.36 % (3622997)Will run a generic schedule for satisfiability detection.
% 0.26/0.36 % (3623003)% WARNING: option uhcvi not known.
% 0.26/0.36 % (3623003)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1694644186:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.26/0.36 % (3623004)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2061737103:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.26/0.36 % (3623003) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3622997-3623003"...
% 0.26/0.36 % (3623008)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=602849927:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.26/0.36 % (3623002)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=817366326_2999 on theBenchmark for (2999ds/0Mi)
% 0.26/0.36 % (3623003)...printing done.
% 0.26/0.36 % (3623005)dis+10_1_sil=32000:sp=arity:random_seed=1833456524:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.26/0.36 % (3623003)Refutation found. Thanks to Tanya!
% 0.26/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.26/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.36 % (3623003)------------------------------
% 0.26/0.36 % (3623003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.36 % (3623003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.36 % (3623003)CaDiCaL version: 2.1.3
% 0.26/0.36 % (3623003)Termination reason: Refutation
% 0.26/0.36 % (3623003)Time elapsed: 0.013 s
% 0.26/0.36 % (3623003)Peak memory usage: 12 MB
% 0.26/0.36 % (3623003)Instructions burned: 23 (million)
% 0.26/0.36 % (3622997)Success in time 0.037 s
% 0.26/0.36 % Vampire exiting
%------------------------------------------------------------------------------