%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV963-1 : 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 : n009.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 3.69s 1.36s
% Output : Refutation 3.69s
% 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 : 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(f508,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/sandbox/benchmark/theBenchmark.p',cls_CHAINED_1) ).
fof(f509,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/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f510,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f511,negated_conjecture,
! [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/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f518,definition,
( spl0_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,[spl0_1])],[avatar_definition]) ).
fof(f519,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) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f521,definition,
( spl0_2
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f525,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f511,f521,f518]) ).
fof(f526,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f510,f521]) ).
fof(f550,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____))
| ~ spl0_1 ),
inference(resolution,[],[f519,f508]) ).
fof(f552,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f550,f509]) ).
fof(f553,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f552]) ).
cnf(s2,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f525]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f526]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f553]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s2,s3,s4]) ).
fof(f554,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV963-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n009.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 13:01:46 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 3.69/1.36 % (3010906)Input is clausal, will run a generic CNF schedule.
% 3.69/1.36 % (3010915)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3846477070:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.69/1.36 % (3010915)Instruction limit reached!
% 3.69/1.36 % (3010915)------------------------------
% 3.69/1.36 % (3010915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.36 % (3010915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.36 % (3010915)CaDiCaL version: 2.1.3
% 3.69/1.36 % (3010915)Termination reason: Instruction limit
% 3.69/1.36 % (3010915)Termination phase: Saturation
% 3.69/1.36 % (3010915)Time elapsed: 0.033 s
% 3.69/1.36 % (3010915)Peak memory usage: 88 MB
% 3.69/1.36 % (3010915)Instructions burned: 116 (million)
% 3.69/1.36 % (3010911)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=2371321632:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.69/1.36 % (3010914)lrs+10_1_sil=8000:sp=occurrence:random_seed=3253123351:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.69/1.36 % (3010912)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2291044657:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.69/1.36 % (3010913)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1369646244:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.69/1.36 % (3010916)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4264561421:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.69/1.36 % (3010917)dis-21_1_sil=8000:lcm=predicate:random_seed=747773724: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)
% 3.69/1.36 % (3010914)First to succeed.
% 3.69/1.36 % (3010914)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3010906"
% 3.69/1.36 % (3010916)Also succeeded, but the first one will report.
% 3.69/1.36 % (3010917)Instruction limit reached!
% 3.69/1.36 % (3010917)------------------------------
% 3.69/1.36 % (3010917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.36 % (3010917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.36 % (3010917)CaDiCaL version: 2.1.3
% 3.69/1.36 % (3010917)Termination reason: Instruction limit
% 3.69/1.36 % (3010917)Termination phase: Saturation
% 3.69/1.36 % (3010917)Time elapsed: 0.048 s
% 3.69/1.36 % (3010917)Peak memory usage: 88 MB
% 3.69/1.36 % (3010917)Instructions burned: 118 (million)
% 3.69/1.36 % (3010923)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=1250272045:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.69/1.36 % (3010923)Refutation not found, incomplete strategy
% 3.69/1.36 % (3010923)------------------------------
% 3.69/1.36 % (3010923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.36 % (3010923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.36 % (3010923)CaDiCaL version: 2.1.3
% 3.69/1.36 % (3010923)Termination reason: Refutation not found, incomplete strategy
% 3.69/1.36 % (3010923)Time elapsed: 0.004 s
% 3.69/1.36 % (3010923)Peak memory usage: 88 MB
% 3.69/1.36 % (3010923)Instructions burned: 13 (million)
% 3.69/1.36 % (3010926)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=257997211: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)
% 3.69/1.36 % (3010926)Also succeeded, but the first one will report.
% 3.69/1.36 % (3010923)------------------------------
% 3.69/1.36 % (3010923)------------------------------
% 3.69/1.36 % (3010914)Refutation found. Thanks to Tanya!
% 3.69/1.36 % SZS status Unsatisfiable for theBenchmark
% 3.69/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 3.69/1.36 % (3010914)------------------------------
% 3.69/1.36 % (3010914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.36 % (3010914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.36 % (3010914)CaDiCaL version: 2.1.3
% 3.69/1.36 % (3010914)Termination reason: Refutation
% 3.69/1.36 % (3010914)Time elapsed: 0.013 s
% 3.69/1.36 % (3010914)Peak memory usage: 89 MB
% 3.69/1.36 % (3010914)Instructions burned: 27 (million)
% 3.69/1.36 % (3010914)------------------------------
% 3.69/1.36 % (3010914)------------------------------
% 3.69/1.36 % (3010906)Success in time 0.502 s
% 3.69/1.36 % Vampire exiting
%------------------------------------------------------------------------------