%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n010.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 01:26:39 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.29s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 12 unt; 2 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 18 ~; 11 |; 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(f646,definition,
( spl0_1
<=> hBOOL(hAPP(hAPP(v_P,v_x),v_xa)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f650,definition,
( spl0_2
<=> hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f652,plain,
( hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f653,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f607,f650,f646]) ).
fof(f738,plain,
~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(v_P,v_Q))),
inference(resolution,[],[f608,f605]) ).
fof(f741,plain,
~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(v_P_H,v_Q_H))),
inference(resolution,[],[f609,f606]) ).
fof(f742,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(f743,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(f745,plain,
~ hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
inference(resolution,[],[f742,f738]) ).
fof(f746,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f745,f646]) ).
fof(f747,plain,
~ hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa)),
inference(resolution,[],[f743,f741]) ).
fof(f748,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f747,f652]) ).
fof(f749,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f748]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f653]) ).
cnf(s2,plain,
~ spl0_1,
inference(sat_conversion,[],[f746]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f749]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f750,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 SAT
% 0.08/0.18 % Computer : n010.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 12:53:17 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.29 % (1901136)Will run a generic schedule for satisfiability detection.
% 0.21/0.29 % (1901145)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2922952225:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.29 % (1901142)% WARNING: option uhcvi not known.
% 0.21/0.29 % (1901141)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1072019244_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.29 % (1901142)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3998961151:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.29 % (1901144)dis+10_1_sil=32000:sp=arity:random_seed=701710902:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.29 % (1901143)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=870393255:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.29 % (1901146)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=160716156:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.29 % (1901147)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3598926804:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.29 % (1901145) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1901136-1901145"...
% 0.21/0.29 % (1901145)...printing done.
% 0.21/0.29 % (1901144) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1901136-1901144"...
% 0.21/0.29 % (1901145)Refutation found. Thanks to Tanya!
% 0.21/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.29 % (1901145)------------------------------
% 0.21/0.29 % (1901145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (1901145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (1901145)CaDiCaL version: 2.1.3
% 0.21/0.29 % (1901145)Termination reason: Refutation
% 0.21/0.29 % (1901145)Time elapsed: 0.016 s
% 0.21/0.29 % (1901145)Peak memory usage: 13 MB
% 0.21/0.29 % (1901145)Instructions burned: 49 (million)
% 0.21/0.29 % (1901136)Success in time 0.061 s
% 0.21/0.29 % Vampire exiting
%------------------------------------------------------------------------------