%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV906-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 01:26:38 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.36s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 37 ( 23 unt; 3 def)
% Number of atoms : 61 ( 11 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 29 ~; 21 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-3 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f132,axiom,
! [X0,X1] : c_Collect(X0,X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Collect__def_0) ).
fof(f293,axiom,
! [X0,X1] : c_Option_Ooption_OSome(X0,X1) != c_Option_Ooption_ONone(X1),
file('/export/starexec/sandbox2/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(f471,axiom,
! [X0,X1] : c_Collect(hAPP(c_fequal(X0),X1),X0) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).
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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_MGF_0) ).
fof(f564,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f565,negated_conjecture,
c_Com_OWT__bodies,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f832,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)
| ~ c_Com_OWT__bodies
| c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(consistent_polarity_flipping,[],[f534]) ).
fof(f837,plain,
~ c_Hoare__Mirabelle_Ostate__not__singleton,
inference(consistent_polarity_flipping,[],[f564]) ).
fof(f857,definition,
( spl0_2
<=> c_Hoare__Mirabelle_Ostate__not__singleton ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f862,definition,
( spl0_3
<=> c_Com_OWT__bodies ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f866,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(f867,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,[],[f866]) ).
fof(f868,plain,
( spl0_2
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f832,f866,f862,f857]) ).
fof(f889,plain,
spl0_3,
inference(avatar_split_clause,[],[f565,f862]) ).
fof(f890,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f837,f857]) ).
fof(f989,plain,
c_Option_Ooption_ONone(tc_Com_Ocom) != hAPP(c_Com_Obody,v_pn),
inference(superposition,[],[f294,f567]) ).
fof(f1271,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(f1490,plain,
! [X0,X1] : c_Collect(hAPP(c_fequal(X0),X1),X0) = c_Option_Oset(c_Option_Ooption_OSome(X1,X0),X0),
inference(forward_demodulation,[],[f471,f516]) ).
fof(f1491,plain,
! [X0,X1] : hAPP(c_fequal(X0),X1) = c_Option_Oset(c_Option_Ooption_OSome(X1,X0),X0),
inference(forward_demodulation,[],[f1490,f132]) ).
fof(f1499,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn))),tc_Com_Ostate),
inference(superposition,[],[f1271,f1491]) ).
fof(f3099,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,[],[f867,f516]) ).
fof(f3100,plain,
( ! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),tc_Com_Ostate)
| ~ c_Com_OWT(X0) )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f3099,f1491]) ).
fof(f3101,plain,
( ~ c_Com_OWT(hAPP(c_Com_Ocom_OBODY,v_pn))
| ~ spl0_4 ),
inference(resolution,[],[f3100,f1499]) ).
fof(f3107,plain,
( c_Option_Ooption_ONone(tc_Com_Ocom) = hAPP(c_Com_Obody,v_pn)
| ~ spl0_4 ),
inference(resolution,[],[f3101,f517]) ).
fof(f3108,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f3107,f989]) ).
fof(f3109,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f3108]) ).
cnf(s2,plain,
( spl0_2
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f868]) ).
cnf(s8,plain,
spl0_3,
inference(sat_conversion,[],[f889]) ).
cnf(s9,plain,
~ spl0_2,
inference(sat_conversion,[],[f890]) ).
cnf(s24,plain,
~ spl0_4,
inference(sat_conversion,[],[f3109]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s2,s24,s8,s9]) ).
fof(f3110,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV906-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n013.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 12:52:07 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.36 % (1153781)Will run a generic schedule for satisfiability detection.
% 0.21/0.36 % (1153796)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1199375988:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.36 % (1153792)% WARNING: option uhcvi not known.
% 0.21/0.36 % (1153791)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2314828989_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.36 % (1153792)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3841399827:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.36 % (1153793)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1628752625:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.36 % (1153794)dis+10_1_sil=32000:sp=arity:random_seed=663169552:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.36 % (1153797)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1134816421:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.36 % (1153795)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=241743457:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.36 % (1153796)Instruction limit reached!
% 0.21/0.36 % (1153796)------------------------------
% 0.21/0.36 % (1153796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (1153796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (1153796)CaDiCaL version: 2.1.3
% 0.21/0.36 % (1153796)Termination reason: Instruction limit
% 0.21/0.36 % (1153796)Termination phase: Saturation
% 0.21/0.36 % (1153796)Time elapsed: 0.043 s
% 0.21/0.36 % (1153796)Peak memory usage: 13 MB
% 0.21/0.36 % (1153796)Instructions burned: 134 (million)
% 0.21/0.36 % (1153821)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2994646490:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.21/0.36 % (1153795)Instruction limit reached!
% 0.21/0.36 % (1153795)------------------------------
% 0.21/0.36 % (1153795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (1153795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (1153795)CaDiCaL version: 2.1.3
% 0.21/0.36 % (1153795)Termination reason: Instruction limit
% 0.21/0.36 % (1153795)Termination phase: Saturation
% 0.21/0.36 % (1153795)Time elapsed: 0.064 s
% 0.21/0.36 % (1153795)Peak memory usage: 13 MB
% 0.21/0.36 % (1153795)Instructions burned: 117 (million)
% 0.21/0.36 % (1153794)Instruction limit reached!
% 0.21/0.36 % (1153794)------------------------------
% 0.21/0.36 % (1153794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (1153794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (1153794)CaDiCaL version: 2.1.3
% 0.21/0.36 % (1153794)Termination reason: Instruction limit
% 0.21/0.36 % (1153794)Termination phase: Saturation
% 0.21/0.36 % (1153794)Time elapsed: 0.069 s
% 0.21/0.36 % (1153794)Peak memory usage: 13 MB
% 0.21/0.36 % (1153794)Instructions burned: 103 (million)
% 0.21/0.36 % (1153838)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2664368829:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.21/0.36 % TRYING [1]
% 0.21/0.36 % (1153842)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1455548118:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.21/0.36 % (1153797)Instruction limit reached!
% 0.21/0.36 % (1153797)------------------------------
% 0.21/0.36 % (1153797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (1153797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (1153797)CaDiCaL version: 2.1.3
% 0.21/0.36 % (1153797)Termination reason: Instruction limit
% 0.21/0.36 % (1153797)Termination phase: Saturation
% 0.21/0.36 % (1153797)Time elapsed: 0.092 s
% 0.21/0.36 % (1153797)Peak memory usage: 13 MB
% 0.21/0.36 % (1153797)Instructions burned: 160 (million)
% 0.21/0.36 % TRYING [2]
% 0.21/0.36 % (1153792) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1153781-1153792"...
% 0.21/0.36 % TRYING [1]
% 0.21/0.36 % (1153792)...printing done.
% 0.21/0.36 % (1153792)Refutation found. Thanks to Tanya!
% 0.21/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.36 % (1153792)------------------------------
% 0.21/0.36 % (1153792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (1153792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (1153792)CaDiCaL version: 2.1.3
% 0.21/0.36 % (1153792)Termination reason: Refutation
% 0.21/0.36 % (1153792)Time elapsed: 0.096 s
% 0.21/0.36 % (1153792)Peak memory usage: 14 MB
% 0.21/0.36 % (1153792)Instructions burned: 137 (million)
% 0.21/0.36 % (1153781)Success in time 0.135 s
% 0.21/0.36 % Vampire exiting
%------------------------------------------------------------------------------