%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV938-1 : 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 : n016.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 01:26:41 PM UTC 2026
% Result : Unsatisfiable 0.83s 0.37s
% Output : Refutation 0.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 14 unt; 2 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 17 ~; 19 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-5 aty)
% Number of functors : 18 ( 18 usr; 11 con; 0-5 aty)
% Number of variables : 45 ( 0 sgn 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f272,axiom,
! [X2,X0,X1] : c_Map_Omap__le(X0,X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__le__refl_0) ).
fof(f481,axiom,
! [X2,X0,X1] : c_Map_Omap__le(c_COMBK(c_Option_Ooption_ONone(X0),tc_Option_Ooption(X0),X1),X2,X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__le__empty_0) ).
fof(f622,axiom,
! [X2,X3,X0,X1,X4,X5] :
( c_WellTypeRT_OWTrt(X0,X1,X2,X3,X4)
| ~ c_Map_Omap__le(X5,X2,tc_List_Olist(tc_String_Ochar),tc_Type_Oty)
| ~ c_WellTypeRT_OWTrt(X0,X1,X5,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__env__mono_0) ).
fof(f634,axiom,
! [X2,X3,X0,X1,X4,X5] :
( c_Map_Omap__le(c_Map_Omap__upds(X0,X1,X2,X3,X4),c_Map_Omap__upds(X5,X1,X2,X3,X4),X3,X4)
| ~ c_Map_Omap__le(X0,X5,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__le__upds_0) ).
fof(f677,axiom,
c_WellTypeRT_OWTrt(v_P,v_ha____,c_Map_Omap__upds(c_COMBK(c_Option_Ooption_ONone(tc_Type_Oty),tc_Option_Ooption(tc_Type_Oty),tc_List_Olist(tc_String_Ochar)),c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Type_Oty),v_body____,v_T_H_H____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f678,negated_conjecture,
~ c_WellTypeRT_OWTrt(v_P,v_ha____,c_Map_Omap__upds(v_E____,c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Type_Oty),v_body____,v_T_H_H____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f768,plain,
! [X2,X0,X1] : ~ c_Map_Omap__le(X0,X0,X1,X2),
inference(consistent_polarity_flipping,[],[f272]) ).
fof(f806,plain,
! [X2,X0,X1] : ~ c_Map_Omap__le(c_COMBK(c_Option_Ooption_ONone(X0),tc_Option_Ooption(X0),X1),X2,X1,X0),
inference(consistent_polarity_flipping,[],[f481]) ).
fof(f837,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_WellTypeRT_OWTrt(X0,X1,X2,X3,X4)
| c_Map_Omap__le(X5,X2,tc_List_Olist(tc_String_Ochar),tc_Type_Oty)
| c_WellTypeRT_OWTrt(X0,X1,X5,X3,X4) ),
inference(consistent_polarity_flipping,[],[f622]) ).
fof(f841,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_Map_Omap__le(c_Map_Omap__upds(X0,X1,X2,X3,X4),c_Map_Omap__upds(X5,X1,X2,X3,X4),X3,X4)
| c_Map_Omap__le(X0,X5,X3,X4) ),
inference(consistent_polarity_flipping,[],[f634]) ).
fof(f854,plain,
~ c_WellTypeRT_OWTrt(v_P,v_ha____,c_Map_Omap__upds(c_COMBK(c_Option_Ooption_ONone(tc_Type_Oty),tc_Option_Ooption(tc_Type_Oty),tc_List_Olist(tc_String_Ochar)),c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Type_Oty),v_body____,v_T_H_H____),
inference(consistent_polarity_flipping,[],[f677]) ).
fof(f855,plain,
c_WellTypeRT_OWTrt(v_P,v_ha____,c_Map_Omap__upds(v_E____,c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Type_Oty),v_body____,v_T_H_H____),
inference(consistent_polarity_flipping,[],[f678]) ).
fof(f1349,plain,
! [X0] :
( c_Map_Omap__le(X0,c_Map_Omap__upds(v_E____,c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Type_Oty)
| c_WellTypeRT_OWTrt(v_P,v_ha____,X0,v_body____,v_T_H_H____) ),
inference(resolution,[],[f837,f855]) ).
fof(f1673,plain,
! [X0] :
( c_WellTypeRT_OWTrt(v_P,v_ha____,c_Map_Omap__upds(X0,c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Type_Oty),v_body____,v_T_H_H____)
| c_Map_Omap__le(X0,v_E____,tc_List_Olist(tc_String_Ochar),tc_Type_Oty) ),
inference(resolution,[],[f841,f1349]) ).
fof(f1701,plain,
! [X0,X1] :
( c_Map_Omap__le(X1,c_Map_Omap__upds(X0,c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Type_Oty)
| c_Map_Omap__le(X0,v_E____,tc_List_Olist(tc_String_Ochar),tc_Type_Oty)
| c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_body____,v_T_H_H____) ),
inference(resolution,[],[f1673,f837]) ).
fof(f1909,plain,
! [X0,X1] :
( c_Map_Omap__le(X0,v_E____,tc_List_Olist(tc_String_Ochar),tc_Type_Oty)
| c_WellTypeRT_OWTrt(v_P,v_ha____,c_Map_Omap__upds(X1,c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Type_Oty),v_body____,v_T_H_H____)
| c_Map_Omap__le(X1,X0,tc_List_Olist(tc_String_Ochar),tc_Type_Oty) ),
inference(resolution,[],[f1701,f841]) ).
fof(f1974,plain,
! [X0] :
( c_Map_Omap__le(X0,v_E____,tc_List_Olist(tc_String_Ochar),tc_Type_Oty)
| c_WellTypeRT_OWTrt(v_P,v_ha____,c_Map_Omap__upds(c_COMBK(c_Option_Ooption_ONone(tc_Type_Oty),tc_Option_Ooption(tc_Type_Oty),tc_List_Olist(tc_String_Ochar)),c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Type_Oty),v_body____,v_T_H_H____) ),
inference(resolution,[],[f1909,f806]) ).
fof(f1978,definition,
( spl0_1
<=> c_WellTypeRT_OWTrt(v_P,v_ha____,c_Map_Omap__upds(c_COMBK(c_Option_Ooption_ONone(tc_Type_Oty),tc_Option_Ooption(tc_Type_Oty),tc_List_Olist(tc_String_Ochar)),c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Type_Oty),v_body____,v_T_H_H____) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1980,plain,
( c_WellTypeRT_OWTrt(v_P,v_ha____,c_Map_Omap__upds(c_COMBK(c_Option_Ooption_ONone(tc_Type_Oty),tc_Option_Ooption(tc_Type_Oty),tc_List_Olist(tc_String_Ochar)),c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Type_Oty),v_body____,v_T_H_H____)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f1978]) ).
fof(f1982,definition,
( spl0_2
<=> ! [X0] : c_Map_Omap__le(X0,v_E____,tc_List_Olist(tc_String_Ochar),tc_Type_Oty) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1983,plain,
( ! [X0] : c_Map_Omap__le(X0,v_E____,tc_List_Olist(tc_String_Ochar),tc_Type_Oty)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f1982]) ).
fof(f1984,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f1974,f1982,f1978]) ).
fof(f2042,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f1983,f768]) ).
fof(f2049,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f2042]) ).
fof(f2271,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f854,f1980]) ).
fof(f2272,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f2271]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f1984]) ).
cnf(s4,plain,
~ spl0_2,
inference(sat_conversion,[],[f2049]) ).
cnf(s5,plain,
~ spl0_1,
inference(sat_conversion,[],[f2272]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s4,s5]) ).
fof(f2273,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV938-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n016.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 13:03:03 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.83/0.37 % (3603051)Will run a generic schedule for satisfiability detection.
% 0.83/0.37 % (3603061)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3356543704:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.83/0.37 % (3603057)% WARNING: option uhcvi not known.
% 0.83/0.37 % (3603056)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2132328_2999 on theBenchmark for (2999ds/0Mi)
% 0.83/0.37 % (3603057)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=14318861:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.83/0.37 % (3603060)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=164374111:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.83/0.37 % (3603058)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1181102915:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.83/0.37 % (3603059)dis+10_1_sil=32000:sp=arity:random_seed=2354649535:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.83/0.37 % (3603062)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2816513550:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.83/0.37 % (3603061)Instruction limit reached!
% 0.83/0.37 % (3603061)------------------------------
% 0.83/0.37 % (3603061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.37 % (3603061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.37 % (3603061)CaDiCaL version: 2.1.3
% 0.83/0.37 % (3603061)Termination reason: Instruction limit
% 0.83/0.37 % (3603061)Termination phase: Saturation
% 0.83/0.37 % (3603061)Time elapsed: 0.043 s
% 0.83/0.37 % (3603061)Peak memory usage: 13 MB
% 0.83/0.37 % (3603061)Instructions burned: 133 (million)
% 0.83/0.37 % (3603070)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2587520081:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.83/0.37 % (3603059)Instruction limit reached!
% 0.83/0.37 % (3603059)------------------------------
% 0.83/0.37 % (3603059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.37 % (3603059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.37 % (3603059)CaDiCaL version: 2.1.3
% 0.83/0.37 % (3603059)Termination reason: Instruction limit
% 0.83/0.37 % (3603059)Termination phase: Saturation
% 0.83/0.37 % (3603059)Time elapsed: 0.066 s
% 0.83/0.37 % (3603059)Peak memory usage: 12 MB
% 0.83/0.37 % (3603059)Instructions burned: 104 (million)
% 0.83/0.37 % (3603060)Instruction limit reached!
% 0.83/0.37 % (3603060)------------------------------
% 0.83/0.37 % (3603060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.37 % (3603060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.37 % (3603060)CaDiCaL version: 2.1.3
% 0.83/0.37 % (3603060)Termination reason: Instruction limit
% 0.83/0.37 % (3603060)Termination phase: Saturation
% 0.83/0.37 % (3603060)Time elapsed: 0.069 s
% 0.83/0.37 % (3603060)Peak memory usage: 13 MB
% 0.83/0.37 % (3603060)Instructions burned: 116 (million)
% 0.83/0.37 % (3603057) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3603051-3603057"...
% 0.83/0.37 % Detected minimum model sizes of [4]
% 0.83/0.37 % Detected maximum model sizes of [max]
% 0.83/0.37 % TRYING [4]
% 0.83/0.37 % (3603072)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3653514906:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.83/0.37 % (3603057)...printing done.
% 0.83/0.37 % (3603073)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=1484339778:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.83/0.37 % (3603057)Refutation found. Thanks to Tanya!
% 0.83/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.83/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.83/0.37 % (3603057)------------------------------
% 0.83/0.37 % (3603057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.37 % (3603057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.37 % (3603057)CaDiCaL version: 2.1.3
% 0.83/0.37 % (3603057)Termination reason: Refutation
% 0.83/0.37 % (3603057)Time elapsed: 0.086 s
% 0.83/0.37 % (3603057)Peak memory usage: 14 MB
% 0.83/0.37 % (3603057)Instructions burned: 132 (million)
% 0.83/0.37 % (3603051)Success in time 0.135 s
% 0.83/0.37 % Vampire exiting
%------------------------------------------------------------------------------