%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV938-1 : 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 : 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 01:19:49 PM UTC 2026
% Result : Unsatisfiable 0.17s 1.20s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-5 aty)
% Number of functors : 18 ( 18 usr; 11 con; 0-5 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f686,plain,
~ c_Map_Omap__le(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),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),
inference(unit_resulting_resolution,[],[f622,f677,f678]) ).
fof(f691,plain,
$false,
inference(unit_resulting_resolution,[],[f634,f481,f686]) ).
%------------------------------------------------------------------------------
%----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/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n013.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 12:57:36 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.21 Running first-order theorem proving
% 0.06/0.21 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
% 0.17/1.20 % (1156680)Input is clausal, will run a generic CNF schedule.
% 0.17/1.20 % (1156691)dis-21_1_sil=8000:lcm=predicate:random_seed=2090352902: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)
% 0.17/1.20 % (1156690)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2119374202:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.17/1.20 % (1156688)lrs+10_1_sil=8000:sp=occurrence:random_seed=1580473376:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.17/1.20 % (1156687)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=328352726:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.17/1.20 % (1156685)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=3943841615:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.17/1.20 % (1156686)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1206872995:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.17/1.20 % (1156689)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1032899639:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.17/1.20 % (1156691)Instruction limit reached!
% 0.17/1.20 % (1156691)------------------------------
% 0.17/1.20 % (1156691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.20 % (1156691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.20 % (1156691)CaDiCaL version: 2.1.3
% 0.17/1.20 % (1156691)Termination reason: Instruction limit
% 0.17/1.20 % (1156691)Termination phase: Saturation
% 0.17/1.20 % (1156691)Time elapsed: 0.036 s
% 0.17/1.20 % (1156691)Peak memory usage: 89 MB
% 0.17/1.20 % (1156691)Instructions burned: 119 (million)
% 0.17/1.20 % (1156689)Instruction limit reached!
% 0.17/1.20 % (1156689)------------------------------
% 0.17/1.20 % (1156689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.20 % (1156689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.20 % (1156689)CaDiCaL version: 2.1.3
% 0.17/1.20 % (1156689)Termination reason: Instruction limit
% 0.17/1.20 % (1156689)Termination phase: Saturation
% 0.17/1.20 % (1156689)Time elapsed: 0.065 s
% 0.17/1.20 % (1156689)Peak memory usage: 89 MB
% 0.17/1.20 % (1156689)Instructions burned: 115 (million)
% 0.17/1.20 % (1156688)Instruction limit reached!
% 0.17/1.20 % (1156688)------------------------------
% 0.17/1.20 % (1156688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.20 % (1156688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.20 % (1156688)CaDiCaL version: 2.1.3
% 0.17/1.20 % (1156688)Termination reason: Instruction limit
% 0.17/1.20 % (1156688)Termination phase: Saturation
% 0.17/1.20 % (1156688)Time elapsed: 0.074 s
% 0.17/1.20 % (1156688)Peak memory usage: 89 MB
% 0.17/1.20 % (1156688)Instructions burned: 108 (million)
% 0.17/1.20 % (1156690)Instruction limit reached!
% 0.17/1.20 % (1156690)------------------------------
% 0.17/1.20 % (1156690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.20 % (1156690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.20 % (1156690)CaDiCaL version: 2.1.3
% 0.17/1.20 % (1156690)Termination reason: Instruction limit
% 0.17/1.20 % (1156690)Termination phase: Saturation
% 0.17/1.20 % (1156690)Time elapsed: 0.121 s
% 0.17/1.20 % (1156690)Peak memory usage: 90 MB
% 0.17/1.20 % (1156690)Instructions burned: 180 (million)
% 0.17/1.20 % (1156699)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=3582342511:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.17/1.20 % (1156699)Refutation not found, incomplete strategy
% 0.17/1.20 % (1156699)------------------------------
% 0.17/1.20 % (1156699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.20 % (1156699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.20 % (1156699)CaDiCaL version: 2.1.3
% 0.17/1.20 % (1156699)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.20 % (1156699)Time elapsed: 0.004 s
% 0.17/1.20 % (1156699)Peak memory usage: 88 MB
% 0.17/1.20 % (1156699)Instructions burned: 11 (million)
% 0.17/1.20 % (1156700)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3332847563: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)
% 0.17/1.20 % (1156701)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1065453386:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 0.17/1.20 % (1156700)First to succeed.
% 0.17/1.20 % (1156700)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1156680"
% 0.17/1.20 % (1156699)------------------------------
% 0.17/1.20 % (1156699)------------------------------
% 0.17/1.20 % (1156702)lrs+10_64_to=lpo:sil=8000:random_seed=1142989525:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 0.17/1.20 % (1156701)Instruction limit reached!
% 0.17/1.20 % (1156701)------------------------------
% 0.17/1.20 % (1156701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.20 % (1156701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.20 % (1156701)CaDiCaL version: 2.1.3
% 0.17/1.20 % (1156701)Termination reason: Instruction limit
% 0.17/1.20 % (1156701)Termination phase: Saturation
% 0.17/1.20 % (1156701)Time elapsed: 0.086 s
% 0.17/1.20 % (1156701)Peak memory usage: 88 MB
% 0.17/1.20 % (1156701)Instructions burned: 221 (million)
% 0.17/1.20 % (1156702)Instruction limit reached!
% 0.17/1.20 % (1156702)------------------------------
% 0.17/1.20 % (1156702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.20 % (1156702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.20 % (1156702)CaDiCaL version: 2.1.3
% 0.17/1.20 % (1156702)Termination reason: Instruction limit
% 0.17/1.20 % (1156702)Termination phase: Saturation
% 0.17/1.20 % (1156702)Time elapsed: 0.081 s
% 0.17/1.20 % (1156702)Peak memory usage: 89 MB
% 0.17/1.20 % (1156702)Instructions burned: 126 (million)
% 0.17/1.20 % (1156707)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1508388608:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 0.17/1.20 % (1156707)Instruction limit reached!
% 0.17/1.20 % (1156707)------------------------------
% 0.17/1.20 % (1156707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.20 % (1156707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.20 % (1156707)CaDiCaL version: 2.1.3
% 0.17/1.20 % (1156707)Termination reason: Instruction limit
% 0.17/1.20 % (1156707)Termination phase: Saturation
% 0.17/1.20 % (1156707)Time elapsed: 0.069 s
% 0.17/1.20 % (1156707)Peak memory usage: 104 MB
% 0.17/1.20 % (1156707)Instructions burned: 195 (million)
% 0.17/1.20 % (1156708)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2613404188:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 0.17/1.20 % (1156700)Refutation found. Thanks to Tanya!
% 0.17/1.20 % SZS status Unsatisfiable for theBenchmark
% 0.17/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.20 % (1156700)------------------------------
% 0.17/1.20 % (1156700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.20 % (1156700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.20 % (1156700)CaDiCaL version: 2.1.3
% 0.17/1.20 % (1156700)Termination reason: Refutation
% 0.17/1.20 % (1156700)Time elapsed: 0.027 s
% 0.17/1.20 % (1156700)Peak memory usage: 89 MB
% 0.17/1.20 % (1156700)Instructions burned: 50 (million)
% 0.17/1.20 % (1156700)------------------------------
% 0.17/1.20 % (1156700)------------------------------
% 0.17/1.20 % (1156680)Success in time 0.667 s
% 0.17/1.20 % Vampire exiting
%------------------------------------------------------------------------------