%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX233-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 01:46:15 PM UTC 2026
% Result : Unsatisfiable 5.57s 1.65s
% Output : Refutation 5.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 13 unt; 0 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
f(nil) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_006) ).
fof(f12,plain,
btrue = f(nil),
inference(reorient_equations,[],[f11]) ).
fof(f14,axiom,
! [X0] : prop1(X0) = eq(f(X0),bfalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_008) ).
fof(f17,axiom,
eq(btrue,bfalse) = bfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_010) ).
fof(f18,plain,
bfalse = eq(btrue,bfalse),
inference(reorient_equations,[],[f17]) ).
fof(f19,axiom,
! [X0] : eq(X0,X0) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_011) ).
fof(f20,plain,
! [X0] : btrue = eq(X0,X0),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
! [X0] : eq(prop1(X0),bfalse) != btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f22,plain,
! [X0] : btrue != eq(prop1(X0),bfalse),
inference(reorient_equations,[],[f21]) ).
fof(f23,plain,
eq(btrue,bfalse) = prop1(nil),
inference(superposition,[],[f14,f12]) ).
fof(f24,plain,
bfalse = prop1(nil),
inference(forward_demodulation,[],[f23,f18]) ).
fof(f25,plain,
btrue != eq(bfalse,bfalse),
inference(superposition,[],[f22,f24]) ).
fof(f26,plain,
$false,
inference(forward_subsumption_resolution,[],[f25,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX233-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 % Computer : n010.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 15:17:47 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.28 Running first-order theorem proving
% 0.23/0.28 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.57/1.65 % (2001141)Detected a unit-equality problem, will run specialized UEQ schedule.
% 5.57/1.65 % (2001148)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1563092822:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 5.57/1.65 % (2001146)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=2925851324:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 5.57/1.65 % (2001147)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3374711871:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 5.57/1.65 % (2001151)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=553003324:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 5.57/1.65 % (2001152)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1501670304:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 5.57/1.65 % (2001149)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1598943841:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 5.57/1.65 % (2001150)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1746305457:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 5.57/1.65 % (2001152)First to succeed.
% 5.57/1.65 % (2001150)Also succeeded, but the first one will report.
% 5.57/1.65 % (2001149)Also succeeded, but the first one will report.
% 5.57/1.65 % (2001152)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2001141"
% 5.57/1.65 % (2001151)Also succeeded, but the first one will report.
% 5.57/1.65 % (2001148)Also succeeded, but the first one will report.
% 5.57/1.65 % (2001152)Refutation found. Thanks to Tanya!
% 5.57/1.65 % SZS status Unsatisfiable for theBenchmark
% 5.57/1.65 % SZS output start Proof for theBenchmark
% See solution above
% 5.57/1.65 % (2001152)------------------------------
% 5.57/1.65 % (2001152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.65 % (2001152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.65 % (2001152)CaDiCaL version: 2.1.3
% 5.57/1.65 % (2001152)Termination reason: Refutation
% 5.57/1.65 % (2001152)Time elapsed: 0.003 s
% 5.57/1.65 % (2001152)Peak memory usage: 87 MB
% 5.57/1.65 % (2001152)Instructions burned: 1 (million)
% 5.57/1.65 % (2001152)------------------------------
% 5.57/1.65 % (2001152)------------------------------
% 5.57/1.65 % (2001141)Success in time 0.686 s
% 5.57/1.65 % Vampire exiting
%------------------------------------------------------------------------------