%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV858-1 : 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 : n011.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 01:19:40 PM UTC 2026
% Result : Unsatisfiable 5.98s 1.75s
% Output : Refutation 5.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 12 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f616,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X2,X0,tc_fun(X3,tc_bool))
| hBOOL(hAPP(X0,X1))
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__predicate1D_0) ).
fof(f636,axiom,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
fof(f637,axiom,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_in(X2),X1),X0))
| hBOOL(hAPP(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
fof(f641,negated_conjecture,
c_lessequals(v_tsa,v_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f642,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f643,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f644,negated_conjecture,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_Ga))
| c_Hoare__Mirabelle_Otriple__valid(v_x,X0,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f645,negated_conjecture,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts_H))
| c_Hoare__Mirabelle_Otriple__valid(X0,X1,t_a)
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X0)),v_Ga)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f646,negated_conjecture,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts_H))
| c_Hoare__Mirabelle_Otriple__valid(X0,X1,t_a)
| ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f697,plain,
hBOOL(hAPP(v_tsa,v_xa)),
inference(resolution,[],[f637,f642]) ).
fof(f710,plain,
! [X0] :
( hBOOL(hAPP(v_ts_H,X0))
| ~ hBOOL(hAPP(v_tsa,X0)) ),
inference(resolution,[],[f616,f641]) ).
fof(f712,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(v_tsa,X0))
| hBOOL(hAPP(hAPP(c_in(X1),X0),v_ts_H)) ),
inference(resolution,[],[f710,f636]) ).
fof(f713,plain,
! [X0] : hBOOL(hAPP(hAPP(c_in(X0),v_xa),v_ts_H)),
inference(resolution,[],[f712,f697]) ).
fof(f715,plain,
! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(X0,v_xa,t_a)
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X0)),v_Ga)) ),
inference(resolution,[],[f713,f645]) ).
fof(f716,plain,
! [X0] :
( ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a)
| c_Hoare__Mirabelle_Otriple__valid(X0,v_xa,t_a) ),
inference(resolution,[],[f713,f646]) ).
fof(f744,plain,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_x)),v_Ga)),
inference(resolution,[],[f715,f643]) ).
fof(f746,plain,
c_Hoare__Mirabelle_Otriple__valid(v_x,v_n(v_x),t_a),
inference(resolution,[],[f744,f644]) ).
fof(f752,plain,
c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
inference(resolution,[],[f746,f716]) ).
fof(f753,plain,
$false,
inference(forward_subsumption_resolution,[],[f752,f643]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV858-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 % Computer : n011.cluster.edu
% 0.10/0.24 % Model : x86_64 x86_64
% 0.10/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.24 % Memory : 8046.5625MB
% 0.10/0.24 % OS : Linux 6.8.0-71-generic
% 0.10/0.24 % CPULimit : 300
% 0.10/0.24 % WCLimit : 300
% 0.10/0.24 % DateTime : Mon Sep 28 12:44:46 UTC 2026
% 0.10/0.25 % CPUTime :
% 0.10/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.30 Running first-order theorem proving
% 0.23/0.30 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
% 5.98/1.75 % (3363617)Input is clausal, will run a generic CNF schedule.
% 5.98/1.75 % (3363622)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=2938977532:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.98/1.75 % (3363623)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2910466973:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.98/1.75 % (3363626)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1146395373:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.98/1.75 % (3363624)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1591186199:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.98/1.75 % (3363625)lrs+10_1_sil=8000:sp=occurrence:random_seed=4043679011:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.98/1.75 % (3363628)dis-21_1_sil=8000:lcm=predicate:random_seed=1806183696: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)
% 5.98/1.75 % (3363627)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1288361087:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.98/1.75 % (3363627)First to succeed.
% 5.98/1.75 % (3363627)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3363617"
% 5.98/1.75 % (3363625)Also succeeded, but the first one will report.
% 5.98/1.75 % (3363628)Also succeeded, but the first one will report.
% 5.98/1.75 % (3363626)Also succeeded, but the first one will report.
% 5.98/1.75 % (3363627)Refutation found. Thanks to Tanya!
% 5.98/1.75 % SZS status Unsatisfiable for theBenchmark
% 5.98/1.75 % SZS output start Proof for theBenchmark
% See solution above
% 5.98/1.75 % (3363627)------------------------------
% 5.98/1.75 % (3363627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.98/1.75 % (3363627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.98/1.75 % (3363627)CaDiCaL version: 2.1.3
% 5.98/1.75 % (3363627)Termination reason: Refutation
% 5.98/1.75 % (3363627)Time elapsed: 0.026 s
% 5.98/1.75 % (3363627)Peak memory usage: 89 MB
% 5.98/1.75 % (3363627)Instructions burned: 27 (million)
% 5.98/1.75 % (3363627)------------------------------
% 5.98/1.75 % (3363627)------------------------------
% 5.98/1.75 % (3363617)Success in time 0.76 s
% 5.98/1.75 % Vampire exiting
%------------------------------------------------------------------------------