%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV892-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 01:26:36 PM UTC 2026
% Result : Unsatisfiable 0.72s 0.45s
% Output : Refutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 18 unt; 4 def)
% Number of atoms : 63 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 57 ( 31 ~; 22 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-4 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f715,axiom,
! [X2,X3,X0,X1] :
( hAPP(X0,X1) = c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(X1,X0,X2,X3),X3)
| ~ hBOOL(hAPP(hAPP(c_in(X2),X1),c_Map_Odom(X0,X2,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_domD_0) ).
fof(f720,axiom,
! [X0,X1] : c_Option_Othe(c_Option_Ooption_OSome(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_the_Osimps_0) ).
fof(f745,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(f750,negated_conjecture,
c_Com_OWT__bodies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f752,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),v_pn),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f753,negated_conjecture,
~ c_Com_OWT(c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1177,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(hAPP(c_in(X2),X1),c_Map_Odom(X0,X2,X3)))
| hAPP(X0,X1) = c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(X1,X0,X2,X3),X3) ),
inference(consistent_polarity_flipping,[],[f715]) ).
fof(f1203,plain,
! [X0,X1] :
( hAPP(c_Com_Obody,X0) != c_Option_Ooption_OSome(X1,tc_Com_Ocom)
| c_Com_OWT__bodies
| ~ c_Com_OWT(X1) ),
inference(consistent_polarity_flipping,[],[f745]) ).
fof(f1208,plain,
~ c_Com_OWT__bodies,
inference(consistent_polarity_flipping,[],[f750]) ).
fof(f1210,plain,
~ hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),v_pn),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom))),
inference(consistent_polarity_flipping,[],[f752]) ).
fof(f1211,plain,
c_Com_OWT(c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom)),
inference(consistent_polarity_flipping,[],[f753]) ).
fof(f1244,definition,
( spl0_3
<=> c_Com_OWT__bodies ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f1248,definition,
( spl0_4
<=> ! [X0,X1] :
( hAPP(c_Com_Obody,X0) != c_Option_Ooption_OSome(X1,tc_Com_Ocom)
| ~ c_Com_OWT(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f1249,plain,
( ! [X0,X1] :
( hAPP(c_Com_Obody,X0) != c_Option_Ooption_OSome(X1,tc_Com_Ocom)
| ~ c_Com_OWT(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f1248]) ).
fof(f1250,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f1203,f1248,f1244]) ).
fof(f1264,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f1208,f1244]) ).
fof(f5399,plain,
hAPP(c_Com_Obody,v_pn) = c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(v_pn,c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom),
inference(resolution,[],[f1177,f1210]) ).
fof(f5402,plain,
( ! [X0] :
( hAPP(c_Com_Obody,X0) != hAPP(c_Com_Obody,v_pn)
| ~ c_Com_OWT(c_Map_Osko__Map__XdomD__1__1(v_pn,c_Com_Obody,tc_Com_Opname,tc_Com_Ocom)) )
| ~ spl0_4 ),
inference(superposition,[],[f1249,f5399]) ).
fof(f5409,plain,
c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom) = c_Map_Osko__Map__XdomD__1__1(v_pn,c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),
inference(superposition,[],[f720,f5399]) ).
fof(f5412,definition,
( spl0_11
<=> c_Com_OWT(c_Map_Osko__Map__XdomD__1__1(v_pn,c_Com_Obody,tc_Com_Opname,tc_Com_Ocom)) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f5414,plain,
( ~ c_Com_OWT(c_Map_Osko__Map__XdomD__1__1(v_pn,c_Com_Obody,tc_Com_Opname,tc_Com_Ocom))
| spl0_11 ),
inference(avatar_component_clause,[],[f5412]) ).
fof(f5416,definition,
( spl0_12
<=> ! [X0] : hAPP(c_Com_Obody,X0) != hAPP(c_Com_Obody,v_pn) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f5417,plain,
( ! [X0] : hAPP(c_Com_Obody,X0) != hAPP(c_Com_Obody,v_pn)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f5416]) ).
fof(f5418,plain,
( ~ spl0_11
| spl0_12
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f5402,f1248,f5416,f5412]) ).
fof(f5723,plain,
( ~ c_Com_OWT(c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom))
| spl0_11 ),
inference(superposition,[],[f5414,f5409]) ).
fof(f5725,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f5723,f1211]) ).
fof(f5726,plain,
spl0_11,
inference(avatar_contradiction_clause,[],[f5725]) ).
fof(f5728,plain,
( $false
| ~ spl0_12 ),
inference(equality_resolution,[],[f5417]) ).
fof(f5729,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f5728]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f1250]) ).
cnf(s7,plain,
~ spl0_3,
inference(sat_conversion,[],[f1264]) ).
cnf(s10,plain,
( ~ spl0_4
| ~ spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f5418]) ).
cnf(s13,plain,
spl0_11,
inference(sat_conversion,[],[f5726]) ).
cnf(s14,plain,
~ spl0_12,
inference(sat_conversion,[],[f5729]) ).
cnf(s15,plain,
~ spl0_4,
inference(rat,[],[s10,s14,s13]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s2,s15,s7]) ).
fof(f5730,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV892-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n002.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 12:54:37 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.72/0.45 % (331172)Will run a generic schedule for satisfiability detection.
% 0.72/0.45 % (331181)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2260144130:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.72/0.45 % (331178)% WARNING: option uhcvi not known.
% 0.72/0.45 % (331177)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1844557478_2999 on theBenchmark for (2999ds/0Mi)
% 0.72/0.45 % (331178)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4057096537:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.72/0.45 % (331179)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3505798593:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.72/0.45 % (331180)dis+10_1_sil=32000:sp=arity:random_seed=459608309:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.72/0.45 % (331183)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3788995449:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.72/0.45 % (331182)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3876887060:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.72/0.45 % (331181)Instruction limit reached!
% 0.72/0.45 % (331181)------------------------------
% 0.72/0.45 % (331181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.45 % (331181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.45 % (331181)CaDiCaL version: 2.1.3
% 0.72/0.45 % (331181)Termination reason: Instruction limit
% 0.72/0.45 % (331181)Termination phase: Saturation
% 0.72/0.45 % (331181)Time elapsed: 0.035 s
% 0.72/0.45 % (331181)Peak memory usage: 13 MB
% 0.72/0.45 % (331181)Instructions burned: 118 (million)
% 0.72/0.45 % (331191)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1625589261:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.72/0.45 % (331180)Instruction limit reached!
% 0.72/0.45 % (331180)------------------------------
% 0.72/0.45 % (331180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.45 % (331180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.45 % (331180)CaDiCaL version: 2.1.3
% 0.72/0.45 % (331180)Termination reason: Instruction limit
% 0.72/0.45 % (331180)Termination phase: Saturation
% 0.72/0.45 % (331180)Time elapsed: 0.062 s
% 0.72/0.45 % (331180)Peak memory usage: 13 MB
% 0.72/0.45 % (331180)Instructions burned: 104 (million)
% 0.72/0.45 % (331193)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2423641265:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.72/0.45 % (331182)Instruction limit reached!
% 0.72/0.45 % (331182)------------------------------
% 0.72/0.45 % (331182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.45 % (331182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.45 % (331182)CaDiCaL version: 2.1.3
% 0.72/0.45 % (331182)Termination reason: Instruction limit
% 0.72/0.45 % (331182)Termination phase: Saturation
% 0.72/0.45 % (331182)Time elapsed: 0.081 s
% 0.72/0.45 % (331182)Peak memory usage: 14 MB
% 0.72/0.45 % (331182)Instructions burned: 131 (million)
% 0.72/0.45 % (331183)Instruction limit reached!
% 0.72/0.45 % (331183)------------------------------
% 0.72/0.45 % (331183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.45 % (331183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.45 % (331183)CaDiCaL version: 2.1.3
% 0.72/0.45 % (331183)Termination reason: Instruction limit
% 0.72/0.45 % (331183)Termination phase: Saturation
% 0.72/0.45 % (331183)Time elapsed: 0.098 s
% 0.72/0.45 % (331183)Peak memory usage: 13 MB
% 0.72/0.45 % (331183)Instructions burned: 159 (million)
% 0.72/0.45 % (331195)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=2742974874:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.72/0.45 % (331196)ott-21_1_sil=16000:fs=off:random_seed=1869383288:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.72/0.45 % (331178) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-331172-331178"...
% 0.72/0.45 % (331178)...printing done.
% 0.72/0.45 % (331178)Refutation found. Thanks to Tanya!
% 0.72/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.72/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.72/0.45 % (331178)------------------------------
% 0.72/0.45 % (331178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.45 % (331178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.45 % (331178)CaDiCaL version: 2.1.3
% 0.72/0.45 % (331178)Termination reason: Refutation
% 0.72/0.45 % (331178)Time elapsed: 0.146 s
% 0.72/0.45 % (331178)Peak memory usage: 15 MB
% 0.72/0.45 % (331178)Instructions burned: 229 (million)
% 0.72/0.45 % (331172)Success in time 0.211 s
% 0.72/0.45 % Vampire exiting
%------------------------------------------------------------------------------