%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV901-1 : 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 : n004.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 3.75s 1.24s
% Output : Refutation 3.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 38 ( 15 unt; 5 def)
% Number of atoms : 74 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 72 ( 36 ~; 31 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-5 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f668,axiom,
! [X0,X1] :
( hAPP(c_Com_Obody,X0) != c_Option_Ooption_OSome(X1,tc_Com_Ocom)
| ~ c_Com_OWT__bodies
| c_Com_OWT(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT__bodiesD_0) ).
fof(f672,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(f708,axiom,
! [X2,X3,X0,X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cut_0) ).
fof(f729,axiom,
! [X0,X1] : c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_bool)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty_0) ).
fof(f789,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f790,negated_conjecture,
c_Com_OWT__bodies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f794,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_5) ).
fof(f796,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,v_y),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_7) ).
fof(f841,definition,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ0_eqProxy])],[equality_proxy_definition]) ).
fof(f1117,plain,
! [X0,X1] :
( ~ sQ0_eqProxy(hAPP(c_Com_Obody,X0),c_Option_Ooption_OSome(X1,tc_Com_Ocom))
| ~ c_Com_OWT__bodies
| c_Com_OWT(X1) ),
inference(equality_proxy_replacement,[],[f668,f841]) ).
fof(f1155,plain,
sQ0_eqProxy(hAPP(c_Com_Obody,v_pn),c_Option_Ooption_OSome(v_y,tc_Com_Ocom)),
inference(equality_proxy_replacement,[],[f794,f841]) ).
fof(f1164,definition,
( spl1_2
<=> c_Hoare__Mirabelle_Ostate__not__singleton ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f1169,definition,
( spl1_3
<=> c_Com_OWT__bodies ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f1170,plain,
( ~ c_Com_OWT__bodies
| spl1_3 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f1172,definition,
( spl1_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,[spl1_4])],[avatar_definition]) ).
fof(f1173,plain,
( ! [X0] :
( ~ c_Com_OWT(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) )
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f1172]) ).
fof(f1174,plain,
( ~ spl1_2
| ~ spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f672,f1172,f1169,f1164]) ).
fof(f1176,definition,
( spl1_5
<=> ! [X0,X1] :
( ~ sQ0_eqProxy(hAPP(c_Com_Obody,X0),c_Option_Ooption_OSome(X1,tc_Com_Ocom))
| c_Com_OWT(X1) ) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f1177,plain,
( ! [X0,X1] :
( ~ sQ0_eqProxy(hAPP(c_Com_Obody,X0),c_Option_Ooption_OSome(X1,tc_Com_Ocom))
| c_Com_OWT(X1) )
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f1178,plain,
( ~ spl1_3
| spl1_5 ),
inference(avatar_split_clause,[],[f1117,f1176,f1169]) ).
fof(f1187,plain,
spl1_2,
inference(avatar_split_clause,[],[f789,f1164]) ).
fof(f1188,plain,
( $false
| spl1_3 ),
inference(resolution,[],[f790,f1170]) ).
fof(f1189,plain,
spl1_3,
inference(avatar_contradiction_clause,[],[f1188]) ).
fof(f1190,plain,
( c_Com_OWT(v_y)
| ~ spl1_5 ),
inference(resolution,[],[f1155,f1177]) ).
fof(f1191,plain,
( 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,v_y),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)
| ~ spl1_4
| ~ spl1_5 ),
inference(resolution,[],[f1190,f1173]) ).
fof(f1526,plain,
! [X0] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X0,tc_Com_Ostate)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,v_y),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) ),
inference(resolution,[],[f708,f796]) ).
fof(f1685,plain,
~ 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,v_y),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),
inference(resolution,[],[f1526,f729]) ).
fof(f2722,plain,
( $false
| ~ spl1_4
| ~ spl1_5 ),
inference(resolution,[],[f1685,f1191]) ).
fof(f2747,plain,
( ~ spl1_4
| ~ spl1_5 ),
inference(avatar_contradiction_clause,[],[f2722]) ).
cnf(s2,plain,
( ~ spl1_2
| ~ spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f1174]) ).
cnf(s3,plain,
( ~ spl1_3
| spl1_5 ),
inference(sat_conversion,[],[f1178]) ).
cnf(s6,plain,
spl1_2,
inference(sat_conversion,[],[f1187]) ).
cnf(s7,plain,
spl1_3,
inference(sat_conversion,[],[f1189]) ).
cnf(s161,plain,
( ~ spl1_4
| ~ spl1_5 ),
inference(sat_conversion,[],[f2747]) ).
cnf(s176,plain,
spl1_5,
inference(rat,[],[s3,s7]) ).
cnf(s177,plain,
~ spl1_4,
inference(rat,[],[s161,s176]) ).
cnf(s183,plain,
$false,
inference(rat,[],[s2,s177,s7,s6]) ).
fof(f2754,plain,
$false,
inference(avatar_sat_refutation,[],[s183]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV901-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n004.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 12:51:52 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 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
% 3.75/1.24 % (333069)Input is clausal, will run a generic CNF schedule.
% 3.75/1.24 % (333078)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3837054095:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.75/1.24 % (333079)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3881654045:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.75/1.24 % (333077)lrs+10_1_sil=8000:sp=occurrence:random_seed=1569950008:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.75/1.24 % (333074)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=2876623132:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.75/1.24 % (333075)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=690653610:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.75/1.24 % (333076)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4171152220:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.75/1.24 % (333080)dis-21_1_sil=8000:lcm=predicate:random_seed=4108007090: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)
% 3.75/1.24 % (333078)Instruction limit reached!
% 3.75/1.24 % (333078)------------------------------
% 3.75/1.24 % (333078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.24 % (333078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.24 % (333078)CaDiCaL version: 2.1.3
% 3.75/1.24 % (333078)Termination reason: Instruction limit
% 3.75/1.24 % (333078)Termination phase: Saturation
% 3.75/1.24 % (333078)Time elapsed: 0.044 s
% 3.75/1.24 % (333078)Peak memory usage: 89 MB
% 3.75/1.24 % (333078)Instructions burned: 115 (million)
% 3.75/1.24 % (333080)First to succeed.
% 3.75/1.24 % (333080)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-333069"
% 3.75/1.24 % (333077)Instruction limit reached!
% 3.75/1.24 % (333077)------------------------------
% 3.75/1.24 % (333077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.24 % (333077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.24 % (333077)CaDiCaL version: 2.1.3
% 3.75/1.24 % (333077)Termination reason: Instruction limit
% 3.75/1.24 % (333077)Termination phase: Saturation
% 3.75/1.24 % (333077)Time elapsed: 0.075 s
% 3.75/1.24 % (333077)Peak memory usage: 89 MB
% 3.75/1.24 % (333077)Instructions burned: 107 (million)
% 3.75/1.24 % (333088)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=3730429291:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.75/1.24 % (333079)Instruction limit reached!
% 3.75/1.24 % (333079)------------------------------
% 3.75/1.24 % (333079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.24 % (333079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.24 % (333079)CaDiCaL version: 2.1.3
% 3.75/1.24 % (333079)Termination reason: Instruction limit
% 3.75/1.24 % (333079)Termination phase: Saturation
% 3.75/1.24 % (333079)Time elapsed: 0.120 s
% 3.75/1.24 % (333079)Peak memory usage: 90 MB
% 3.75/1.24 % (333079)Instructions burned: 180 (million)
% 3.75/1.24 % (333088)Instruction limit reached!
% 3.75/1.24 % (333088)------------------------------
% 3.75/1.24 % (333088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.24 % (333088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.24 % (333088)CaDiCaL version: 2.1.3
% 3.75/1.24 % (333088)Termination reason: Instruction limit
% 3.75/1.24 % (333088)Termination phase: Saturation
% 3.75/1.24 % (333088)Time elapsed: 0.048 s
% 3.75/1.24 % (333088)Peak memory usage: 90 MB
% 3.75/1.24 % (333088)Instructions burned: 145 (million)
% 3.75/1.24 % (333089)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=907294200: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)
% 3.75/1.24 % (333092)lrs+10_64_to=lpo:sil=8000:random_seed=1643414994:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 3.75/1.24 % (333091)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2278461242:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.75/1.24 % (333080)Refutation found. Thanks to Tanya!
% 3.75/1.24 % SZS status Unsatisfiable for theBenchmark
% 3.75/1.24 % SZS output start Proof for theBenchmark
% See solution above
% 3.75/1.24 % (333080)------------------------------
% 3.75/1.24 % (333080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.24 % (333080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.24 % (333080)CaDiCaL version: 2.1.3
% 3.75/1.24 % (333080)Termination reason: Refutation
% 3.75/1.24 % (333080)Time elapsed: 0.044 s
% 3.75/1.24 % (333080)Peak memory usage: 90 MB
% 3.75/1.24 % (333080)Instructions burned: 77 (million)
% 3.75/1.24 % (333080)------------------------------
% 3.75/1.24 % (333080)------------------------------
% 3.75/1.24 % (333069)Success in time 0.477 s
% 3.75/1.24 % Vampire exiting
%------------------------------------------------------------------------------