%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV905-1 : 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 : n026.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 0.17s 1.50s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 13 unt; 1 def)
% Number of atoms : 34 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 29 ( 17 ~; 11 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f442,axiom,
! [X2,X3,X0,X1] :
( ~ hBOOL(c_in(X1,c_Map_Odom(X0,X3,X2),X3))
| hAPP(X0,X1) != c_Option_Ooption_ONone(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_domIff_0) ).
fof(f460,axiom,
! [X0] :
( hAPP(c_Com_Obody,X0) = c_Option_Ooption_ONone(tc_Com_Ocom)
| c_Com_OWT(c_Com_Ocom_OBODY(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT_OBody_0) ).
fof(f477,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(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(f512,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f513,negated_conjecture,
c_Com_OWT__bodies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f515,negated_conjecture,
hBOOL(c_in(v_x,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f516,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(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OBODY(v_x)),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_4) ).
fof(f556,plain,
c_Option_Ooption_ONone(tc_Com_Ocom) != hAPP(c_Com_Obody,v_x),
inference(resolution,[],[f515,f442]) ).
fof(f573,plain,
! [X0] :
( hAPP(c_Com_Obody,X0) != hAPP(c_Com_Obody,v_x)
| c_Com_OWT(c_Com_Ocom_OBODY(X0)) ),
inference(superposition,[],[f556,f460]) ).
fof(f577,plain,
( ~ c_Com_OWT(c_Com_Ocom_OBODY(v_x))
| ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(resolution,[],[f516,f477]) ).
fof(f601,plain,
( ~ c_Com_OWT(c_Com_Ocom_OBODY(v_x))
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(forward_subsumption_resolution,[],[f577,f513]) ).
fof(f607,definition,
( spl0_2
<=> c_Com_OWT(c_Com_Ocom_OBODY(v_x)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f609,plain,
( ~ c_Com_OWT(c_Com_Ocom_OBODY(v_x))
| spl0_2 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f611,plain,
~ c_Com_OWT(c_Com_Ocom_OBODY(v_x)),
inference(forward_subsumption_resolution,[],[f601,f512]) ).
fof(f612,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f611,f607]) ).
fof(f638,plain,
c_Com_OWT(c_Com_Ocom_OBODY(v_x)),
inference(equality_resolution,[],[f573]) ).
fof(f640,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f638,f609]) ).
fof(f641,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f640]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f612]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f641]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s2,s3]) ).
fof(f642,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV905-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n026.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 12:55:27 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running first-order theorem proving
% 0.08/0.20 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
% 0.17/1.50 % (3832834)Input is clausal, will run a generic CNF schedule.
% 0.17/1.50 % (3832839)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=3448935154:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.17/1.50 % (3832841)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2927087962:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.17/1.50 % (3832843)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3897131782:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.17/1.50 % (3832840)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2494042267:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.17/1.50 % (3832842)lrs+10_1_sil=8000:sp=occurrence:random_seed=4180243195:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.17/1.50 % (3832844)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2457258714:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.17/1.50 % (3832845)dis-21_1_sil=8000:lcm=predicate:random_seed=10211844: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)
% 0.17/1.50 % (3832843)Instruction limit reached!
% 0.17/1.50 % (3832843)------------------------------
% 0.17/1.50 % (3832843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.50 % (3832843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.50 % (3832843)CaDiCaL version: 2.1.3
% 0.17/1.50 % (3832843)Termination reason: Instruction limit
% 0.17/1.50 % (3832843)Termination phase: Saturation
% 0.17/1.50 % (3832843)Time elapsed: 0.054 s
% 0.17/1.50 % (3832843)Peak memory usage: 88 MB
% 0.17/1.50 % (3832843)Instructions burned: 117 (million)
% 0.17/1.50 % (3832845)Instruction limit reached!
% 0.17/1.50 % (3832845)------------------------------
% 0.17/1.50 % (3832845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.50 % (3832845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.50 % (3832845)CaDiCaL version: 2.1.3
% 0.17/1.50 % (3832845)Termination reason: Instruction limit
% 0.17/1.50 % (3832845)Termination phase: Saturation
% 0.17/1.50 % (3832845)Time elapsed: 0.060 s
% 0.17/1.50 % (3832845)Peak memory usage: 89 MB
% 0.17/1.50 % (3832845)Instructions burned: 118 (million)
% 0.17/1.50 % (3832842)Instruction limit reached!
% 0.17/1.50 % (3832842)------------------------------
% 0.17/1.50 % (3832842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.50 % (3832842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.50 % (3832842)CaDiCaL version: 2.1.3
% 0.17/1.50 % (3832842)Termination reason: Instruction limit
% 0.17/1.50 % (3832842)Termination phase: Saturation
% 0.17/1.50 % (3832842)Time elapsed: 0.074 s
% 0.17/1.50 % (3832842)Peak memory usage: 89 MB
% 0.17/1.50 % (3832842)Instructions burned: 108 (million)
% 0.17/1.50 % (3832844)Instruction limit reached!
% 0.17/1.50 % (3832844)------------------------------
% 0.17/1.50 % (3832844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.50 % (3832844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.50 % (3832844)CaDiCaL version: 2.1.3
% 0.17/1.50 % (3832844)Termination reason: Instruction limit
% 0.17/1.50 % (3832844)Termination phase: Saturation
% 0.17/1.50 % (3832844)Time elapsed: 0.119 s
% 0.17/1.50 % (3832844)Peak memory usage: 89 MB
% 0.17/1.50 % (3832844)Instructions burned: 180 (million)
% 0.17/1.50 % (3832853)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=2118747818:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.17/1.50 % (3832854)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=192499346:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 0.17/1.50 % (3832855)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1110717510:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 0.17/1.50 % (3832855)First to succeed.
% 0.17/1.50 % (3832855)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3832834"
% 0.17/1.50 % (3832854)Also succeeded, but the first one will report.
% 0.17/1.50 % (3832853)Also succeeded, but the first one will report.
% 0.17/1.50 % (3832856)lrs+10_64_to=lpo:sil=8000:random_seed=4228965613:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 0.17/1.50 % (3832856)Instruction limit reached!
% 0.17/1.50 % (3832856)------------------------------
% 0.17/1.50 % (3832856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.50 % (3832856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.50 % (3832856)CaDiCaL version: 2.1.3
% 0.17/1.50 % (3832856)Termination reason: Instruction limit
% 0.17/1.50 % (3832856)Termination phase: Saturation
% 0.17/1.50 % (3832856)Time elapsed: 0.080 s
% 0.17/1.50 % (3832856)Peak memory usage: 90 MB
% 0.17/1.50 % (3832856)Instructions burned: 126 (million)
% 0.17/1.50 % (3832839)Also succeeded, but the first one will report.
% 0.17/1.50 % (3832861)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1599653580:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 0.17/1.50 % (3832855)Refutation found. Thanks to Tanya!
% 0.17/1.50 % SZS status Unsatisfiable for theBenchmark
% 0.17/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.50 % (3832855)------------------------------
% 0.17/1.50 % (3832855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.50 % (3832855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.50 % (3832855)CaDiCaL version: 2.1.3
% 0.17/1.50 % (3832855)Termination reason: Refutation
% 0.17/1.50 % (3832855)Time elapsed: 0.016 s
% 0.17/1.50 % (3832855)Peak memory usage: 90 MB
% 0.17/1.50 % (3832855)Instructions burned: 24 (million)
% 0.17/1.50 % (3832855)------------------------------
% 0.17/1.50 % (3832855)------------------------------
% 0.17/1.50 % (3832834)Success in time 0.658 s
% 0.17/1.50 % Vampire exiting
%------------------------------------------------------------------------------