%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV906-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 01:19:45 PM UTC 2026
% Result : Unsatisfiable 3.90s 1.34s
% Output : Refutation 3.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 34 ( 18 unt; 4 def)
% Number of atoms : 57 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 48 ( 25 ~; 19 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-3 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f293,axiom,
! [X0,X1] : c_Option_Ooption_OSome(X0,X1) != c_Option_Ooption_ONone(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__None__eq_1) ).
fof(f294,plain,
! [X0,X1] : c_Option_Ooption_ONone(X1) != c_Option_Ooption_OSome(X0,X1),
inference(reorient_equations,[],[f293]) ).
fof(f516,axiom,
! [X0,X1] : c_Option_Oset(c_Option_Ooption_OSome(X0,X1),X1) = c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Option_Oset_Osimps_I2_J_0) ).
fof(f517,axiom,
! [X0] :
( c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X0))
| hAPP(c_Com_Obody,X0) = c_Option_Ooption_ONone(tc_Com_Ocom) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT_OBody_0) ).
fof(f534,axiom,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Com_OWT(X0)
| ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MGF_0) ).
fof(f564,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f565,negated_conjecture,
c_Com_OWT__bodies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f567,negated_conjecture,
hAPP(c_Com_Obody,v_pn) = c_Option_Ooption_OSome(v_y,tc_Com_Ocom),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f569,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f609,definition,
( spl0_2
<=> c_Hoare__Mirabelle_Ostate__not__singleton ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f614,definition,
( spl0_3
<=> c_Com_OWT__bodies ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f618,definition,
( spl0_4
<=> ! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Com_OWT(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f619,plain,
( ! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Com_OWT(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f620,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f534,f618,f614,f609]) ).
fof(f641,plain,
spl0_2,
inference(avatar_split_clause,[],[f564,f609]) ).
fof(f642,plain,
spl0_3,
inference(avatar_split_clause,[],[f565,f614]) ).
fof(f643,plain,
c_Option_Ooption_ONone(tc_Com_Ocom) != hAPP(c_Com_Obody,v_pn),
inference(superposition,[],[f294,f567]) ).
fof(f687,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Option_Oset(c_Option_Ooption_OSome(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
inference(superposition,[],[f569,f516]) ).
fof(f955,plain,
( ! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Option_Oset(c_Option_Ooption_OSome(hAPP(c_Hoare__Mirabelle_OMGT,X0),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Com_OWT(X0) )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f619,f516]) ).
fof(f969,plain,
( ~ c_Com_OWT(hAPP(c_Com_Ocom_OBODY,v_pn))
| ~ spl0_4 ),
inference(resolution,[],[f955,f687]) ).
fof(f980,definition,
( spl0_22
<=> c_Com_OWT(hAPP(c_Com_Ocom_OBODY,v_pn)) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f982,plain,
( ~ c_Com_OWT(hAPP(c_Com_Ocom_OBODY,v_pn))
| spl0_22 ),
inference(avatar_component_clause,[],[f980]) ).
fof(f988,plain,
( ~ spl0_22
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f969,f618,f980]) ).
fof(f995,plain,
( c_Option_Ooption_ONone(tc_Com_Ocom) = hAPP(c_Com_Obody,v_pn)
| spl0_22 ),
inference(resolution,[],[f982,f517]) ).
fof(f996,plain,
( $false
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f995,f643]) ).
fof(f997,plain,
spl0_22,
inference(avatar_contradiction_clause,[],[f996]) ).
cnf(s2,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f620]) ).
cnf(s8,plain,
spl0_2,
inference(sat_conversion,[],[f641]) ).
cnf(s9,plain,
spl0_3,
inference(sat_conversion,[],[f642]) ).
cnf(s19,plain,
( ~ spl0_4
| ~ spl0_22 ),
inference(sat_conversion,[],[f988]) ).
cnf(s21,plain,
spl0_22,
inference(sat_conversion,[],[f997]) ).
cnf(s22,plain,
~ spl0_4,
inference(rat,[],[s19,s21]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s2,s22,s9,s8]) ).
fof(f998,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV906-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n007.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 12:50:41 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.90/1.34 % (2369576)Input is clausal, will run a generic CNF schedule.
% 3.90/1.34 % (2369581)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=2307361917:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.90/1.34 % (2369582)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1936014633:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.90/1.34 % (2369585)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4080348875:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.90/1.34 % (2369587)dis-21_1_sil=8000:lcm=predicate:random_seed=1202367709: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)
% 3.90/1.34 % (2369584)lrs+10_1_sil=8000:sp=occurrence:random_seed=178718472:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.90/1.34 % (2369586)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1845356983:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.90/1.34 % (2369583)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4200977859:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.90/1.34 % (2369586)First to succeed.
% 3.90/1.34 % (2369586)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2369576"
% 3.90/1.34 % (2369584)Also succeeded, but the first one will report.
% 3.90/1.34 % (2369587)Instruction limit reached!
% 3.90/1.34 % (2369587)------------------------------
% 3.90/1.34 % (2369587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.34 % (2369587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.34 % (2369587)CaDiCaL version: 2.1.3
% 3.90/1.34 % (2369587)Termination reason: Instruction limit
% 3.90/1.34 % (2369587)Termination phase: Saturation
% 3.90/1.34 % (2369587)Time elapsed: 0.058 s
% 3.90/1.34 % (2369587)Peak memory usage: 89 MB
% 3.90/1.34 % (2369587)Instructions burned: 118 (million)
% 3.90/1.34 % (2369585)Also succeeded, but the first one will report.
% 3.90/1.34 % (2369595)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=887803467:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.90/1.34 % (2369595)Instruction limit reached!
% 3.90/1.34 % (2369595)------------------------------
% 3.90/1.34 % (2369595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.34 % (2369595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.34 % (2369595)CaDiCaL version: 2.1.3
% 3.90/1.34 % (2369595)Termination reason: Instruction limit
% 3.90/1.34 % (2369595)Termination phase: Saturation
% 3.90/1.34 % (2369595)Time elapsed: 0.091 s
% 3.90/1.34 % (2369595)Peak memory usage: 90 MB
% 3.90/1.34 % (2369595)Instructions burned: 143 (million)
% 3.90/1.34 % (2369586)Refutation found. Thanks to Tanya!
% 3.90/1.34 % SZS status Unsatisfiable for theBenchmark
% 3.90/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 3.90/1.35 % (2369586)------------------------------
% 3.90/1.35 % (2369586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.35 % (2369586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.35 % (2369586)CaDiCaL version: 2.1.3
% 3.90/1.35 % (2369586)Termination reason: Refutation
% 3.90/1.35 % (2369586)Time elapsed: 0.032 s
% 3.90/1.35 % (2369586)Peak memory usage: 90 MB
% 3.90/1.35 % (2369586)Instructions burned: 49 (million)
% 3.90/1.35 % (2369586)------------------------------
% 3.90/1.35 % (2369586)------------------------------
% 3.90/1.35 % (2369576)Success in time 0.479 s
% 3.90/1.35 % Vampire exiting
%------------------------------------------------------------------------------