%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV817-1 : 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 : n018.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 01:19:34 PM UTC 2026
% Result : Unsatisfiable 3.56s 1.30s
% Output : Refutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 9 unt; 2 def)
% Number of atoms : 25 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 8 ~; 6 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_state__not__singleton__def_0) ).
fof(f7,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f8,negated_conjecture,
! [X0] : X0 = v_x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f9,plain,
! [X0] : v_x = X0,
inference(reorient_equations,[],[f8]) ).
fof(f11,definition,
( spl0_1
<=> c_Hoare__Mirabelle_Ostate__not__singleton ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f24,definition,
( spl0_4
<=> v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 = v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f26,plain,
( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2
| spl0_4 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f27,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f6,f24,f11]) ).
fof(f28,plain,
spl0_1,
inference(avatar_split_clause,[],[f7,f11]) ).
fof(f30,plain,
( v_x != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1
| spl0_4 ),
inference(forward_demodulation,[],[f26,f9]) ).
fof(f33,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f30,f9]) ).
fof(f34,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f33]) ).
cnf(s3,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f27]) ).
cnf(s4,plain,
spl0_1,
inference(sat_conversion,[],[f28]) ).
cnf(s6,plain,
spl0_4,
inference(sat_conversion,[],[f34]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s3,s6,s4]) ).
fof(f35,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV817-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n018.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 12:40:42 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running first-order theorem proving
% 0.10/0.24 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
% 3.56/1.30 % (3355564)Input is clausal, will run a generic CNF schedule.
% 3.56/1.30 % (3355713)dis-21_1_sil=8000:lcm=predicate:random_seed=3307939359: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)
% 3.56/1.30 % (3355713)Refutation not found, incomplete strategy
% 3.56/1.30 % (3355713)------------------------------
% 3.56/1.30 % (3355713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.30 % (3355713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.30 % (3355713)CaDiCaL version: 2.1.3
% 3.56/1.30 % (3355713)Termination reason: Refutation not found, incomplete strategy
% 3.56/1.30 % (3355713)Time elapsed: 0.001 s
% 3.56/1.30 % (3355713)Peak memory usage: 88 MB
% 3.56/1.30 % (3355712)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2755810788:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.56/1.30 % (3355711)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3848484164:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.56/1.30 % (3355707)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1862965830:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.56/1.30 % (3355709)lrs+10_1_sil=8000:sp=occurrence:random_seed=521370162:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.56/1.30 % (3355706)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=3919059391:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.56/1.30 % (3355711)Refutation not found, incomplete strategy
% 3.56/1.30 % (3355711)------------------------------
% 3.56/1.30 % (3355711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.30 % (3355711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.30 % (3355711)CaDiCaL version: 2.1.3
% 3.56/1.30 % (3355711)Termination reason: Refutation not found, incomplete strategy
% 3.56/1.30 % (3355711)Time elapsed: 0.001 s
% 3.56/1.30 % (3355711)Peak memory usage: 87 MB
% 3.56/1.30 % (3355712)Also succeeded, but the first one will report.
% 3.56/1.30 % (3355709)First to succeed.
% 3.56/1.30 % (3355709)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3355564"
% 3.56/1.30 % (3355708)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1440996808:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.56/1.30 % (3355713)------------------------------
% 3.56/1.30 % (3355713)------------------------------
% 3.56/1.30 % (3355783)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=789999433:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.56/1.30 % (3355783)Also succeeded, but the first one will report.
% 3.56/1.30 % (3355711)------------------------------
% 3.56/1.30 % (3355711)------------------------------
% 3.56/1.30 % (3355709)Refutation found. Thanks to Tanya!
% 3.56/1.30 % SZS status Unsatisfiable for theBenchmark
% 3.56/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 3.56/1.30 % (3355709)------------------------------
% 3.56/1.30 % (3355709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.30 % (3355709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.30 % (3355709)CaDiCaL version: 2.1.3
% 3.56/1.30 % (3355709)Termination reason: Refutation
% 3.56/1.30 % (3355709)Time elapsed: 0.002 s
% 3.56/1.30 % (3355709)Peak memory usage: 89 MB
% 3.56/1.30 % (3355709)------------------------------
% 3.56/1.30 % (3355709)------------------------------
% 3.56/1.30 % (3355564)Success in time 0.431 s
% 3.70/1.30 % Vampire exiting
%------------------------------------------------------------------------------