%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV972-1 : 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 : n019.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 01:19:53 PM UTC 2026
% Result : Unsatisfiable 4.27s 1.44s
% Output : Refutation 4.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 9 unt; 2 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 15 ~; 9 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-5 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-5 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f587,axiom,
c_List_Olist__all2(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_Us____,v_es_Ha____,v_h_Ha____),v_Us____,tc_Type_Oty,tc_Type_Oty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_1) ).
fof(f588,axiom,
c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f589,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f590,negated_conjecture,
! [X0] :
( v_thesis____
| ~ c_List_Olist__all2(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_Us____,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f647,definition,
( spl0_1
<=> ! [X0] :
( ~ c_List_Olist__all2(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_Us____,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f648,plain,
( ! [X0] :
( ~ c_List_Olist__all2(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_Us____,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X0) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f650,definition,
( spl0_2
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f654,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f590,f650,f647]) ).
fof(f655,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f589,f650]) ).
fof(f769,plain,
( ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____))
| ~ spl0_1 ),
inference(resolution,[],[f648,f587]) ).
fof(f770,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f769,f588]) ).
fof(f771,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f770]) ).
cnf(s2,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f654]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f655]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f771]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s2,s3,s4]) ).
fof(f772,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV972-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n019.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 13:03:18 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 4.27/1.44 % (3983712)Input is clausal, will run a generic CNF schedule.
% 4.27/1.44 % (3983781)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=818643462:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.27/1.44 % (3983775)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=2004557338:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.27/1.44 % (3983777)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1359918708:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.27/1.44 % (3983778)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3145588374:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.27/1.44 % (3983780)lrs+10_1_sil=8000:sp=occurrence:random_seed=1949074235:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.27/1.44 % (3983781)Instruction limit reached!
% 4.27/1.44 % (3983781)------------------------------
% 4.27/1.44 % (3983781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.44 % (3983781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.44 % (3983781)CaDiCaL version: 2.1.3
% 4.27/1.44 % (3983781)Termination reason: Instruction limit
% 4.27/1.44 % (3983781)Termination phase: Saturation
% 4.27/1.44 % (3983781)Time elapsed: 0.039 s
% 4.27/1.44 % (3983781)Peak memory usage: 89 MB
% 4.27/1.44 % (3983781)Instructions burned: 117 (million)
% 4.27/1.44 % (3983780)First to succeed.
% 4.27/1.44 % (3983780)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3983712"
% 4.27/1.44 % (3983783)dis-21_1_sil=8000:lcm=predicate:random_seed=1885587282: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)
% 4.27/1.44 % (3983782)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4143807933:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.27/1.44 % (3983782)Also succeeded, but the first one will report.
% 4.27/1.44 % (3983783)Instruction limit reached!
% 4.27/1.44 % (3983783)------------------------------
% 4.27/1.44 % (3983783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.44 % (3983783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.44 % (3983783)CaDiCaL version: 2.1.3
% 4.27/1.44 % (3983783)Termination reason: Instruction limit
% 4.27/1.44 % (3983783)Termination phase: Saturation
% 4.27/1.44 % (3983783)Time elapsed: 0.036 s
% 4.27/1.44 % (3983783)Peak memory usage: 89 MB
% 4.27/1.44 % (3983783)Instructions burned: 120 (million)
% 4.27/1.44 % (3983824)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=793478051:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 4.27/1.44 % (3983824)Refutation not found, incomplete strategy
% 4.27/1.44 % (3983824)------------------------------
% 4.27/1.44 % (3983824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.44 % (3983824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.44 % (3983824)CaDiCaL version: 2.1.3
% 4.27/1.44 % (3983824)Termination reason: Refutation not found, incomplete strategy
% 4.27/1.44 % (3983824)Time elapsed: 0.008 s
% 4.27/1.44 % (3983824)Peak memory usage: 88 MB
% 4.27/1.44 % (3983824)Instructions burned: 7 (million)
% 4.27/1.44 % (3983835)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4252895955: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)
% 4.27/1.44 % (3983835)Also succeeded, but the first one will report.
% 4.27/1.44 % (3983780)Refutation found. Thanks to Tanya!
% 4.27/1.44 % SZS status Unsatisfiable for theBenchmark
% 4.27/1.44 % SZS output start Proof for theBenchmark
% See solution above
% 4.27/1.44 % (3983780)------------------------------
% 4.27/1.44 % (3983780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.44 % (3983780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.44 % (3983780)CaDiCaL version: 2.1.3
% 4.27/1.44 % (3983780)Termination reason: Refutation
% 4.27/1.44 % (3983780)Time elapsed: 0.008 s
% 4.27/1.44 % (3983780)Peak memory usage: 89 MB
% 4.27/1.44 % (3983780)Instructions burned: 11 (million)
% 4.27/1.44 % (3983780)------------------------------
% 4.27/1.44 % (3983780)------------------------------
% 4.27/1.44 % (3983712)Success in time 0.535 s
% 4.27/1.44 % Vampire exiting
%------------------------------------------------------------------------------