TSTP Solution File: SWW390+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW390+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:32:18 EDT 2024
% Result : Theorem 0.51s 0.77s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 32 ( 18 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5597,plain,
$false,
inference(resolution,[],[f5430,f5452]) ).
fof(f5452,plain,
! [X2,X3,X0,X1] : c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X3),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),X1),X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)))),
inference(cnf_transformation,[],[f5245]) ).
fof(f5245,plain,
! [X0,X1,X2,X3] : c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X3),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),X1),X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)))),
inference(rectify,[],[f2414]) ).
fof(f2414,axiom,
! [X25,X19,X3,X4] : c_Hoare__Mirabelle_Ohoare__derivs(X4,X3,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X4)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X4),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),X19),X25)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X4),tc_HOL_Obool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5430,plain,
! [X0,X1] : ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X0),v_c),X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(cnf_transformation,[],[f5376]) ).
fof(f5376,plain,
! [X0,X1] : ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X0),v_c),X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(rectify,[],[f5313]) ).
fof(f5313,plain,
! [X2,X3] : ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(ennf_transformation,[],[f5311]) ).
fof(f5311,plain,
~ ? [X2,X3] : c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(pure_predicate_removal,[],[f5230]) ).
fof(f5230,plain,
~ ( ? [X0,X1] : v_P(X0,X1)
=> ? [X2,X3] : c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
inference(rectify,[],[f5229]) ).
fof(f5229,negated_conjecture,
~ ( ? [X27,X144] : v_P(X27,X144)
=> ? [X307,X308] : c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X307),v_c),X308)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
inference(negated_conjecture,[],[f5228]) ).
fof(f5228,conjecture,
( ? [X27,X144] : v_P(X27,X144)
=> ? [X307,X308] : c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X307),v_c),X308)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW390+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.12 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jun 19 06:24:39 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.36 Running first-order theorem proving
% 0.13/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.51/0.72 % (10913)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.72 % (10917)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.51/0.72 % (10913)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.72 % (10918)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.51/0.72 % (10913)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.72 % (10919)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.51/0.72 % (10913)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.72 % (10914)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.51/0.72 % (10913)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.72 % (10920)lrs+1002_1:1_to=lpo:sil=2000:sp=frequency:sos=on:st=3.0:i=282:sd=2:ss=axioms_0 on theBenchmark for (2999ds/282Mi)
% 0.51/0.72 % (10913)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.72 % (10916)lrs+11_1:12_to=lpo:sil=128000:sp=const_min:i=103397:ss=included:sgt=16:av=off:fsd=on:nm=16_0 on theBenchmark for (2999ds/103397Mi)
% 0.51/0.72 % (10913)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.72 % (10915)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=140573:nm=2_0 on theBenchmark for (2999ds/140573Mi)
% 0.51/0.77 % (10918)First to succeed.
% 0.51/0.77 % (10918)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10913"
% 0.51/0.77 % (10913)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.77 % (10918)Refutation found. Thanks to Tanya!
% 0.51/0.77 % SZS status Theorem for theBenchmark
% 0.51/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 0.51/0.77 % (10918)------------------------------
% 0.51/0.77 % (10918)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.51/0.77 % (10918)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.51/0.77 % (10918)Termination reason: Refutation
% 0.51/0.77
% 0.51/0.77 % (10918)Memory used [KB]: 6399
% 0.51/0.77 % (10918)Time elapsed: 0.047 s
% 0.51/0.77 % (10918)Instructions burned: 69 (million)
% 0.51/0.77 % (10918)------------------------------
% 0.51/0.77 % (10918)------------------------------
% 0.51/0.77 % (10913)Success in time 0.123 s
%------------------------------------------------------------------------------