%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV864-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 01:19:41 PM UTC 2026
% Result : Unsatisfiable 3.56s 1.25s
% Output : Refutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 9 unt; 2 def)
% Number of atoms : 56 ( 29 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 47 ( 20 ~; 25 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ c_Natural_Oevalc(X2,X3,X1)
| ~ c_Natural_Oevalc(X2,X3,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com__det_0) ).
fof(f22,axiom,
! [X0] :
( v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X0) != X0
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_single__stateE_0) ).
fof(f28,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f29,negated_conjecture,
~ c_Natural_Oevalc(v_c,v_x,v_xa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f30,negated_conjecture,
! [X0] :
( X0 = v_xa
| c_Natural_Oevalc(v_c,v_x,v_xb(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f31,plain,
! [X0] :
( c_Natural_Oevalc(v_c,v_x,v_xb(X0))
| v_xa = X0 ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
! [X0] :
( X0 != v_xb(X0)
| X0 = v_xa ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f33,plain,
! [X0] :
( v_xb(X0) != X0
| v_xa = X0 ),
inference(reorient_equations,[],[f32]) ).
fof(f35,definition,
( spl0_1
<=> c_Hoare__Mirabelle_Ostate__not__singleton ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f48,definition,
( spl0_4
<=> ! [X0] : v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X0) != X0 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f49,plain,
( ! [X0] : v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X0) != X0
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f50,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f22,f48,f35]) ).
fof(f56,plain,
spl0_1,
inference(avatar_split_clause,[],[f28,f35]) ).
fof(f57,plain,
! [X0,X1] :
( ~ c_Natural_Oevalc(v_c,v_x,X0)
| v_xb(X1) = X0
| v_xa = X1 ),
inference(resolution,[],[f16,f31]) ).
fof(f58,plain,
! [X0,X1] :
( v_xb(X0) = v_xb(X1)
| v_xa = X0
| v_xa = X1 ),
inference(resolution,[],[f57,f31]) ).
fof(f66,plain,
! [X0,X1] :
( v_xb(X0) != X1
| v_xa = X1
| v_xa = X0
| v_xa = X1 ),
inference(superposition,[],[f33,f58]) ).
fof(f67,plain,
! [X0,X1] :
( v_xb(X0) != X1
| v_xa = X1
| v_xa = X0 ),
inference(duplicate_literal_removal,[],[f66]) ).
fof(f77,plain,
! [X0] :
( v_xa = v_xb(X0)
| v_xa = X0 ),
inference(equality_resolution,[],[f67]) ).
fof(f85,plain,
! [X0] :
( c_Natural_Oevalc(v_c,v_x,v_xa)
| v_xa = X0
| v_xa = X0 ),
inference(superposition,[],[f31,f77]) ).
fof(f88,plain,
! [X0] :
( c_Natural_Oevalc(v_c,v_x,v_xa)
| v_xa = X0 ),
inference(duplicate_literal_removal,[],[f85]) ).
fof(f94,plain,
! [X0] : v_xa = X0,
inference(forward_subsumption_resolution,[],[f88,f29]) ).
fof(f98,plain,
( ! [X0] : v_xa != X0
| ~ spl0_4 ),
inference(superposition,[],[f49,f94]) ).
fof(f104,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f98,f94]) ).
fof(f105,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f104]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f50]) ).
cnf(s5,plain,
spl0_1,
inference(sat_conversion,[],[f56]) ).
cnf(s6,plain,
~ spl0_4,
inference(sat_conversion,[],[f105]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s3,s6,s5]) ).
fof(f107,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV864-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n016.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 12:49:49 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 3.56/1.25 % (3597071)Input is clausal, will run a generic CNF schedule.
% 3.56/1.25 % (3597082)dis-21_1_sil=8000:lcm=predicate:random_seed=2200831084:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.56/1.25 % (3597077)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3147948599:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.56/1.25 % (3597078)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3920614227:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.56/1.25 % (3597076)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3365638249:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.56/1.25 % (3597082)Instruction limit reached!
% 3.56/1.25 % (3597082)------------------------------
% 3.56/1.25 % (3597082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.25 % (3597082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.25 % (3597082)CaDiCaL version: 2.1.3
% 3.56/1.25 % (3597082)Termination reason: Instruction limit
% 3.56/1.25 % (3597082)Termination phase: Saturation
% 3.56/1.25 % (3597082)Time elapsed: 0.042 s
% 3.56/1.25 % (3597082)Peak memory usage: 88 MB
% 3.56/1.25 % (3597082)Instructions burned: 118 (million)
% 3.56/1.25 % (3597079)lrs+10_1_sil=8000:sp=occurrence:random_seed=1703438457:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.56/1.25 % (3597081)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2949501444:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.56/1.25 % (3597080)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2494663191:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.56/1.25 % (3597079)First to succeed.
% 3.56/1.25 % (3597080)Also succeeded, but the first one will report.
% 3.56/1.25 % (3597079)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3597071"
% 3.56/1.25 % (3597081)Also succeeded, but the first one will report.
% 3.56/1.25 % (3597087)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3278640702:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.56/1.25 % (3597087)Also succeeded, but the first one will report.
% 3.56/1.25 % (3597079)Refutation found. Thanks to Tanya!
% 3.56/1.25 % SZS status Unsatisfiable for theBenchmark
% 3.56/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.56/1.25 % (3597079)------------------------------
% 3.56/1.25 % (3597079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.25 % (3597079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.25 % (3597079)CaDiCaL version: 2.1.3
% 3.56/1.25 % (3597079)Termination reason: Refutation
% 3.56/1.25 % (3597079)Time elapsed: 0.003 s
% 3.56/1.25 % (3597079)Peak memory usage: 89 MB
% 3.56/1.25 % (3597079)Instructions burned: 2 (million)
% 3.56/1.25 % (3597079)------------------------------
% 3.56/1.25 % (3597079)------------------------------
% 3.56/1.25 % (3597071)Success in time 0.415 s
% 3.56/1.25 % Vampire exiting
%------------------------------------------------------------------------------