%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV901-1 : 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 : n011.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 01:26:37 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.35s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 44 ( 17 unt; 2 def)
% Number of atoms : 78 ( 26 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 78 ( 44 ~; 32 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 9 con; 0-5 aty)
% Number of variables : 60 ( 0 sgn 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f136,axiom,
! [X0,X1] : c_Collect(X0,X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Collect__def_0) ).
fof(f586,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(f587,plain,
! [X0,X1] : c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0) = c_Collect(hAPP(c_fequal(X0),X1),X0),
inference(reorient_equations,[],[f586]) ).
fof(f650,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(f651,plain,
! [X0,X1] : c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Option_Oset(c_Option_Ooption_OSome(X0,X1),X1),
inference(reorient_equations,[],[f650]) ).
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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_empty_0) ).
fof(f789,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f790,negated_conjecture,
c_Com_OWT__bodies,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f841,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_Hoare__Mirabelle_Ostate__not__singleton ),
inference(forward_subsumption_resolution,[],[f672,f790]) ).
fof(f843,plain,
! [X0,X1] :
( c_Com_OWT(X1)
| hAPP(c_Com_Obody,X0) != c_Option_Ooption_OSome(X1,tc_Com_Ocom) ),
inference(forward_subsumption_resolution,[],[f668,f790]) ).
fof(f852,plain,
! [X0,X1] : c_Collect(hAPP(c_fequal(X0),X1),X0) = c_Option_Oset(c_Option_Ooption_OSome(X1,X0),X0),
inference(forward_demodulation,[],[f587,f651]) ).
fof(f889,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) ),
inference(forward_subsumption_resolution,[],[f841,f789]) ).
fof(f893,plain,
! [X0,X1] : hAPP(c_fequal(X0),X1) = c_Option_Oset(c_Option_Ooption_OSome(X1,X0),X0),
inference(forward_demodulation,[],[f852,f136]) ).
fof(f899,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) ),
inference(forward_demodulation,[],[f889,f651]) ).
fof(f904,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)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),tc_Com_Ostate) ),
inference(forward_demodulation,[],[f899,f893]) ).
fof(f909,plain,
! [X0,X1] :
( 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)
| hAPP(c_Com_Obody,X1) != c_Option_Ooption_OSome(X0,tc_Com_Ocom) ),
inference(resolution,[],[f904,f843]) ).
fof(f1617,plain,
! [X2,X0,X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),tc_Com_Ostate)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Com_Ostate)
| hAPP(c_Com_Obody,X2) != c_Option_Ooption_OSome(X0,tc_Com_Ocom) ),
inference(resolution,[],[f708,f909]) ).
fof(f1624,plain,
! [X2,X0,X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),tc_Com_Ostate)
| hAPP(c_Com_Obody,X2) != c_Option_Ooption_OSome(X0,tc_Com_Ocom) ),
inference(forward_subsumption_resolution,[],[f1617,f729]) ).
fof(f1670,plain,
! [X2,X3,X0,X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(X2,X3,tc_Com_Ostate)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X1)),X3,tc_Com_Ostate)
| hAPP(c_Com_Obody,X0) != c_Option_Ooption_OSome(X1,tc_Com_Ocom) ),
inference(resolution,[],[f1624,f708]) ).
fof(f1793,plain,
! [X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,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)
| hAPP(c_Com_Obody,X1) != c_Option_Ooption_OSome(X0,tc_Com_Ocom) ),
inference(resolution,[],[f1670,f796]) ).
fof(f1805,plain,
! [X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),c_Option_Oset(c_Option_Ooption_OSome(hAPP(c_Hoare__Mirabelle_OMGT,v_y),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| hAPP(c_Com_Obody,X1) != c_Option_Ooption_OSome(X0,tc_Com_Ocom) ),
inference(forward_demodulation,[],[f1793,f651]) ).
fof(f1817,plain,
! [X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,v_y)),tc_Com_Ostate)
| hAPP(c_Com_Obody,X1) != c_Option_Ooption_OSome(X0,tc_Com_Ocom) ),
inference(forward_demodulation,[],[f1805,f893]) ).
fof(f1904,definition,
( spl0_14
<=> ! [X0] : hAPP(c_Com_Obody,X0) != hAPP(c_Com_Obody,v_pn) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f1905,plain,
( ! [X0] : hAPP(c_Com_Obody,X0) != hAPP(c_Com_Obody,v_pn)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f1904]) ).
fof(f1962,plain,
! [X2,X0,X1] :
( hAPP(c_Com_Obody,X0) != c_Option_Ooption_OSome(X1,tc_Com_Ocom)
| hAPP(c_Com_Obody,X2) != c_Option_Ooption_OSome(v_y,tc_Com_Ocom) ),
inference(resolution,[],[f1817,f1624]) ).
fof(f1970,plain,
! [X2,X0,X1] :
( hAPP(c_Com_Obody,X2) != hAPP(c_Com_Obody,v_pn)
| hAPP(c_Com_Obody,X0) != c_Option_Ooption_OSome(X1,tc_Com_Ocom) ),
inference(forward_demodulation,[],[f1962,f794]) ).
fof(f1980,definition,
( spl0_18
<=> ! [X0,X1] : hAPP(c_Com_Obody,X0) != c_Option_Ooption_OSome(X1,tc_Com_Ocom) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f1981,plain,
( ! [X0,X1] : hAPP(c_Com_Obody,X0) != c_Option_Ooption_OSome(X1,tc_Com_Ocom)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f1980]) ).
fof(f1982,plain,
( spl0_18
| spl0_14 ),
inference(avatar_split_clause,[],[f1970,f1904,f1980]) ).
fof(f1989,plain,
( $false
| ~ spl0_14 ),
inference(equality_resolution,[],[f1905]) ).
fof(f1990,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f1989]) ).
fof(f1993,plain,
( ! [X0] : hAPP(c_Com_Obody,X0) != hAPP(c_Com_Obody,v_pn)
| ~ spl0_18 ),
inference(superposition,[],[f1981,f794]) ).
fof(f1994,plain,
( spl0_14
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1993,f1980,f1904]) ).
cnf(s19,plain,
( spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f1982]) ).
cnf(s20,plain,
~ spl0_14,
inference(sat_conversion,[],[f1990]) ).
cnf(s21,plain,
( spl0_14
| ~ spl0_18 ),
inference(sat_conversion,[],[f1994]) ).
cnf(s22,plain,
~ spl0_18,
inference(rat,[],[s21,s20]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s19,s22,s20]) ).
fof(f1995,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV901-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n011.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 12:52:30 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 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
% 0.21/0.35 % (3367301)Will run a generic schedule for satisfiability detection.
% 0.21/0.35 % (3367308)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3980788433:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.35 % (3367307)% WARNING: option uhcvi not known.
% 0.21/0.35 % (3367306)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=790386538_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.35 % (3367307)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=615949650:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.35 % (3367309)dis+10_1_sil=32000:sp=arity:random_seed=3846888207:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.35 % (3367310)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1225516465:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.35 % (3367311)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1856755664:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.35 % (3367312)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2292956359:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.35 % (3367309)Instruction limit reached!
% 0.21/0.35 % (3367309)------------------------------
% 0.21/0.35 % (3367309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (3367309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (3367309)CaDiCaL version: 2.1.3
% 0.21/0.35 % (3367309)Termination reason: Instruction limit
% 0.21/0.35 % (3367309)Termination phase: Saturation
% 0.21/0.35 % (3367309)Time elapsed: 0.067 s
% 0.21/0.35 % (3367309)Peak memory usage: 13 MB
% 0.21/0.35 % (3367309)Instructions burned: 104 (million)
% 0.21/0.35 % (3367310) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3367301-3367310"...
% 0.21/0.35 % (3367310)...printing done.
% 0.21/0.35 % (3367310)Refutation found. Thanks to Tanya!
% 0.21/0.35 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.35 % (3367310)------------------------------
% 0.21/0.35 % (3367310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (3367310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (3367310)CaDiCaL version: 2.1.3
% 0.21/0.35 % (3367310)Termination reason: Refutation
% 0.21/0.35 % (3367310)Time elapsed: 0.069 s
% 0.21/0.35 % (3367310)Peak memory usage: 14 MB
% 0.21/0.35 % (3367310)Instructions burned: 108 (million)
% 0.21/0.35 % (3367301)Success in time 0.128 s
% 0.21/0.35 % Vampire exiting
%------------------------------------------------------------------------------