%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV954-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 01:19:51 PM UTC 2026
% Result : Unsatisfiable 4.67s 1.72s
% Output : Refutation 4.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 9 unt; 2 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 12 ~; 9 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-5 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-7 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f301,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OFAss(X6,X5,X4,X3,tc_List_Olist(tc_String_Ochar)),X7)
| c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X4,X2,X5,X0,X6,X1,X3))
| c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X2,X0,X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_11) ).
fof(f429,axiom,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(v_ea____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt_0) ).
fof(f434,axiom,
! [X0] :
( v_thesis____
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).
fof(f436,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f452,definition,
( spl0_1
<=> ! [X0] : ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f453,plain,
( ! [X0] : ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f455,definition,
( spl0_2
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f459,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f436,f455]) ).
fof(f460,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f434,f455,f452]) ).
fof(f473,plain,
( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____))
| c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(v_E____,v_P,v_ha____,v_e_092_060_094isub_0622____)) ),
inference(resolution,[],[f301,f429]) ).
fof(f475,plain,
( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____))
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f473,f453]) ).
fof(f476,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f475,f453]) ).
fof(f477,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f476]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f459]) ).
cnf(s3,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f460]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f477]) ).
cnf(s5,plain,
spl0_2,
inference(rat,[],[s3,s4]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s2,s5]) ).
fof(f478,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV954-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 % Computer : n018.cluster.edu
% 0.08/0.23 % Model : x86_64 x86_64
% 0.08/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.23 % Memory : 8046.5625MB
% 0.08/0.23 % OS : Linux 6.8.0-71-generic
% 0.08/0.23 % CPULimit : 300
% 0.08/0.23 % WCLimit : 300
% 0.08/0.23 % DateTime : Mon Sep 28 13:03:40 UTC 2026
% 0.08/0.24 % CPUTime :
% 0.08/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.29 Running first-order theorem proving
% 0.25/0.29 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.67/1.72 % (3367504)Input is clausal, will run a generic CNF schedule.
% 4.67/1.72 % (3367528)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2320822326:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.67/1.72 % (3367529)dis-21_1_sil=8000:lcm=predicate:random_seed=4070189681: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)
% 4.67/1.72 % (3367528)First to succeed.
% 4.67/1.72 % (3367528)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3367504"
% 4.67/1.72 % (3367529)Instruction limit reached!
% 4.67/1.72 % (3367529)------------------------------
% 4.67/1.72 % (3367529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.67/1.72 % (3367529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.67/1.72 % (3367529)CaDiCaL version: 2.1.3
% 4.67/1.72 % (3367529)Termination reason: Instruction limit
% 4.67/1.72 % (3367529)Termination phase: Saturation
% 4.67/1.72 % (3367529)Time elapsed: 0.051 s
% 4.67/1.72 % (3367529)Peak memory usage: 89 MB
% 4.67/1.72 % (3367529)Instructions burned: 118 (million)
% 4.67/1.72 % (3367525)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2465122621:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.67/1.72 % (3367524)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2007276470:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.67/1.72 % (3367523)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=2549020822:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.67/1.72 % (3367527)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=776481767:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.67/1.72 % (3367526)lrs+10_1_sil=8000:sp=occurrence:random_seed=2145633038:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.67/1.72 % (3367527)Refutation not found, incomplete strategy
% 4.67/1.72 % (3367527)------------------------------
% 4.67/1.72 % (3367527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.67/1.72 % (3367527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.67/1.72 % (3367527)CaDiCaL version: 2.1.3
% 4.67/1.72 % (3367527)Termination reason: Refutation not found, incomplete strategy
% 4.67/1.72 % (3367527)Time elapsed: 0.047 s
% 4.67/1.72 % (3367527)Peak memory usage: 89 MB
% 4.67/1.72 % (3367527)Instructions burned: 55 (million)
% 4.67/1.72 % (3367526)Instruction limit reached!
% 4.67/1.72 % (3367526)------------------------------
% 4.67/1.72 % (3367526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.67/1.72 % (3367526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.67/1.72 % (3367526)CaDiCaL version: 2.1.3
% 4.67/1.72 % (3367526)Termination reason: Instruction limit
% 4.67/1.72 % (3367526)Termination phase: Saturation
% 4.67/1.72 % (3367526)Time elapsed: 0.098 s
% 4.67/1.72 % (3367526)Peak memory usage: 89 MB
% 4.67/1.72 % (3367526)Instructions burned: 107 (million)
% 4.67/1.72 % (3367532)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=3474913365:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.67/1.72 % (3367532)Refutation not found, incomplete strategy
% 4.67/1.72 % (3367532)------------------------------
% 4.67/1.72 % (3367532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.67/1.72 % (3367532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.67/1.72 % (3367532)CaDiCaL version: 2.1.3
% 4.67/1.72 % (3367532)Termination reason: Refutation not found, incomplete strategy
% 4.67/1.72 % (3367532)Time elapsed: 0.005 s
% 4.67/1.72 % (3367532)Peak memory usage: 88 MB
% 4.67/1.72 % (3367532)Instructions burned: 8 (million)
% 4.67/1.72 % (3367528)Refutation found. Thanks to Tanya!
% 4.67/1.72 % SZS status Unsatisfiable for theBenchmark
% 4.67/1.72 % SZS output start Proof for theBenchmark
% See solution above
% 4.67/1.72 % (3367528)------------------------------
% 4.67/1.72 % (3367528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.67/1.72 % (3367528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.67/1.72 % (3367528)CaDiCaL version: 2.1.3
% 4.67/1.72 % (3367528)Termination reason: Refutation
% 4.67/1.72 % (3367528)Time elapsed: 0.029 s
% 4.67/1.72 % (3367528)Peak memory usage: 90 MB
% 4.67/1.72 % (3367528)Instructions burned: 61 (million)
% 4.67/1.72 % (3367528)------------------------------
% 4.67/1.72 % (3367528)------------------------------
% 4.67/1.72 % (3367504)Success in time 0.598 s
% 4.67/1.72 % Vampire exiting
%------------------------------------------------------------------------------