%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV961-1 : 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 : 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 01:19:52 PM UTC 2026
% Result : Unsatisfiable 2.34s 0.82s
% Output : Refutation 2.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 9 unt; 2 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 17 ~; 11 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-5 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-5 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f630,axiom,
! [X0] :
( v_thesis____
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X0),v_T_092_060_094isub_0622____))
| ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).
fof(f635,axiom,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),v_T_092_060_094isub_0622____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1) ).
fof(f636,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f637,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f946,definition,
( spl1_1
<=> ! [X0] :
( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X0),v_T_092_060_094isub_0622____))
| ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X0) ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f947,plain,
( ! [X0] :
( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X0),v_T_092_060_094isub_0622____))
| ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X0) )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f949,definition,
( spl1_2
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f950,plain,
( v_thesis____
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f951,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f630,f949,f946]) ).
fof(f952,plain,
( $false
| ~ spl1_2 ),
inference(resolution,[],[f950,f637]) ).
fof(f953,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f952]) ).
fof(f2419,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____))
| ~ spl1_1 ),
inference(resolution,[],[f635,f947]) ).
fof(f2421,plain,
( $false
| ~ spl1_1 ),
inference(resolution,[],[f2419,f636]) ).
fof(f2422,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f2421]) ).
cnf(s1,plain,
( spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f951]) ).
cnf(s2,plain,
~ spl1_2,
inference(sat_conversion,[],[f953]) ).
cnf(s3,plain,
~ spl1_1,
inference(sat_conversion,[],[f2422]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f2423,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV961-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n002.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 13:04:22 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 2.34/0.82 % (335563)Input is clausal, will run a generic CNF schedule.
% 2.34/0.82 % (335574)dis-21_1_sil=8000:lcm=predicate:random_seed=1994347774: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)
% 2.34/0.82 % (335574)First to succeed.
% 2.34/0.82 % (335574)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-335563"
% 2.34/0.82 % (335569)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3938343232:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.34/0.82 % (335571)lrs+10_1_sil=8000:sp=occurrence:random_seed=2437787213:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.34/0.82 % (335568)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=2322387044:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.34/0.82 % (335572)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1252497744:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.34/0.82 % (335570)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1655094144:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.34/0.82 % (335571)Also succeeded, but the first one will report.
% 2.34/0.82 % (335573)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1920385932:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.34/0.82 % (335573)Also succeeded, but the first one will report.
% 2.34/0.82 % (335572)Instruction limit reached!
% 2.34/0.82 % (335572)------------------------------
% 2.34/0.82 % (335572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.34/0.82 % (335572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.82 % (335572)CaDiCaL version: 2.1.3
% 2.34/0.82 % (335572)Termination reason: Instruction limit
% 2.34/0.82 % (335572)Termination phase: Saturation
% 2.34/0.82 % (335572)Time elapsed: 0.068 s
% 2.34/0.82 % (335572)Peak memory usage: 89 MB
% 2.34/0.82 % (335572)Instructions burned: 114 (million)
% 2.34/0.82 % (335574)Refutation found. Thanks to Tanya!
% 2.34/0.82 % SZS status Unsatisfiable for theBenchmark
% 2.34/0.82 % SZS output start Proof for theBenchmark
% See solution above
% 2.34/0.82 % (335574)------------------------------
% 2.34/0.82 % (335574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.34/0.82 % (335574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.82 % (335574)CaDiCaL version: 2.1.3
% 2.34/0.82 % (335574)Termination reason: Refutation
% 2.34/0.82 % (335574)Time elapsed: 0.027 s
% 2.34/0.82 % (335574)Peak memory usage: 90 MB
% 2.34/0.82 % (335574)Instructions burned: 100 (million)
% 2.34/0.82 % (335574)------------------------------
% 2.34/0.82 % (335574)------------------------------
% 2.34/0.82 % (335563)Success in time 0.31 s
% 2.34/0.82 % Vampire exiting
%------------------------------------------------------------------------------