%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV911-1 : 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 : n017.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 01:19:46 PM UTC 2026
% Result : Unsatisfiable 2.71s 1.11s
% Output : Refutation 2.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 12 unt; 2 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 20 ~; 13 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-4 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f605,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f606,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f607,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa))
| hBOOL(hAPP(hAPP(v_P,v_x),v_xa)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f608,negated_conjecture,
! [X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f609,negated_conjecture,
! [X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f610,negated_conjecture,
! [X2,X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X2,v_c,X0,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(X2,X1),v_xa))
| hBOOL(hAPP(hAPP(X0,X1),v_xb(X2,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f919,definition,
( spl1_1
<=> hBOOL(hAPP(hAPP(v_P,v_x),v_xa)) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f920,plain,
( hBOOL(hAPP(hAPP(v_P,v_x),v_xa))
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f922,definition,
( spl1_2
<=> hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa)) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f923,plain,
( hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa))
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f924,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f607,f922,f919]) ).
fof(f925,plain,
~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(v_P,v_Q))),
inference(resolution,[],[f608,f605]) ).
fof(f928,plain,
~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(v_P_H,v_Q_H))),
inference(resolution,[],[f609,f606]) ).
fof(f929,plain,
! [X0] :
( hBOOL(hAPP(hAPP(v_Q,X0),v_xb(v_P,v_Q)))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_xa)) ),
inference(resolution,[],[f610,f605]) ).
fof(f930,plain,
! [X0] :
( hBOOL(hAPP(hAPP(v_Q_H,X0),v_xb(v_P_H,v_Q_H)))
| ~ hBOOL(hAPP(hAPP(v_P_H,X0),v_xa)) ),
inference(resolution,[],[f610,f606]) ).
fof(f931,plain,
~ hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
inference(resolution,[],[f929,f925]) ).
fof(f933,plain,
~ hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa)),
inference(resolution,[],[f930,f928]) ).
fof(f935,plain,
( $false
| ~ spl1_2 ),
inference(resolution,[],[f933,f923]) ).
fof(f936,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f935]) ).
fof(f937,plain,
( $false
| ~ spl1_1 ),
inference(resolution,[],[f920,f931]) ).
fof(f938,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f937]) ).
cnf(s1,plain,
( spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f924]) ).
cnf(s2,plain,
~ spl1_2,
inference(sat_conversion,[],[f936]) ).
cnf(s3,plain,
~ spl1_1,
inference(sat_conversion,[],[f938]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f939,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV911-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n017.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 12:48:21 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 2.71/1.11 % (3519160)Input is clausal, will run a generic CNF schedule.
% 2.71/1.11 % (3519171)dis-21_1_sil=8000:lcm=predicate:random_seed=3798587650: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)
% 2.71/1.11 % (3519171)First to succeed.
% 2.71/1.11 % (3519171)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3519160"
% 2.71/1.11 % (3519165)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=3460704406:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.71/1.11 % (3519170)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=751815344:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.71/1.11 % (3519166)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3033684456:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.71/1.11 % (3519167)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3771776457:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.71/1.11 % (3519169)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1367946167:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.71/1.11 % (3519168)lrs+10_1_sil=8000:sp=occurrence:random_seed=1493489189:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.71/1.11 % (3519169)Also succeeded, but the first one will report.
% 2.71/1.11 % (3519168)Also succeeded, but the first one will report.
% 2.71/1.11 % (3519170)Also succeeded, but the first one will report.
% 2.71/1.11 % (3519171)Refutation found. Thanks to Tanya!
% 2.71/1.11 % SZS status Unsatisfiable for theBenchmark
% 2.71/1.11 % SZS output start Proof for theBenchmark
% See solution above
% 2.71/1.11 % (3519171)------------------------------
% 2.71/1.11 % (3519171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.11 % (3519171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.11 % (3519171)CaDiCaL version: 2.1.3
% 2.71/1.11 % (3519171)Termination reason: Refutation
% 2.71/1.11 % (3519171)Time elapsed: 0.008 s
% 2.71/1.11 % (3519171)Peak memory usage: 90 MB
% 2.71/1.11 % (3519171)Instructions burned: 29 (million)
% 2.71/1.11 % (3519171)------------------------------
% 2.71/1.11 % (3519171)------------------------------
% 2.71/1.11 % (3519160)Success in time 0.331 s
% 2.71/1.11 % Vampire exiting
%------------------------------------------------------------------------------