TSTP Solution File: SWW337+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW337+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.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 : Tue May 21 07:21:34 EDT 2024
% Result : Theorem 75.19s 11.51s
% Output : Refutation 75.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 37 ( 12 unt; 0 def)
% Number of atoms : 87 ( 3 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 83 ( 33 ~; 19 |; 12 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 81 ( 73 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f189411,plain,
$false,
inference(resolution,[],[f189363,f47069]) ).
fof(f47069,plain,
hBOOL(hAPP(v_ts,sK88)),
inference(resolution,[],[f26343,f16949]) ).
fof(f16949,plain,
hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK88),v_ts)),
inference(cnf_transformation,[],[f14652]) ).
fof(f14652,plain,
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK87,sK88)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK88),v_ts))
& ! [X2] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK87,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK87,sK88])],[f14649,f14651,f14650]) ).
fof(f14650,plain,
( ? [X0] :
( ? [X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) )
& ! [X2] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) )
=> ( ? [X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK87,X1)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) )
& ! [X2] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK87,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f14651,plain,
( ? [X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK87,X1)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) )
=> ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK87,sK88)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK88),v_ts)) ) ),
introduced(choice_axiom,[]) ).
fof(f14649,plain,
? [X0] :
( ? [X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) )
& ! [X2] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) ),
inference(rectify,[],[f10316]) ).
fof(f10316,plain,
? [X0] :
( ? [X2] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts)) )
& ! [X1] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ) ),
inference(ennf_transformation,[],[f5228]) ).
fof(f5228,plain,
~ ! [X0] :
( ! [X1] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) )
=> ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2) ) ),
inference(rectify,[],[f5227]) ).
fof(f5227,negated_conjecture,
~ ! [X10] :
( ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X10,X2) )
=> ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X10,X2) ) ),
inference(negated_conjecture,[],[f5226]) ).
fof(f5226,conjecture,
! [X10] :
( ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X10,X2) )
=> ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X10,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(f26343,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
| hBOOL(hAPP(X0,X1)) ),
inference(forward_demodulation,[],[f20869,f17811]) ).
fof(f17811,plain,
! [X0,X1] : hAPP(c_Set_OCollect(X1),X0) = X0,
inference(cnf_transformation,[],[f5686]) ).
fof(f5686,plain,
! [X0,X1] : hAPP(c_Set_OCollect(X1),X0) = X0,
inference(rectify,[],[f3335]) ).
fof(f3335,axiom,
! [X14,X5] : hAPP(c_Set_OCollect(X5),X14) = X14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Collect__def) ).
fof(f20869,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(X0,X1))
| ~ hBOOL(hAPP(hAPP(c_member(X2),X1),hAPP(c_Set_OCollect(X2),X0))) ),
inference(cnf_transformation,[],[f12392]) ).
fof(f12392,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(X0,X1))
| ~ hBOOL(hAPP(hAPP(c_member(X2),X1),hAPP(c_Set_OCollect(X2),X0))) ),
inference(ennf_transformation,[],[f7973]) ).
fof(f7973,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(hAPP(c_member(X2),X1),hAPP(c_Set_OCollect(X2),X0)))
=> hBOOL(hAPP(X0,X1)) ),
inference(rectify,[],[f3339]) ).
fof(f3339,axiom,
! [X14,X45,X5] :
( hBOOL(hAPP(hAPP(c_member(X5),X45),hAPP(c_Set_OCollect(X5),X14)))
=> hBOOL(hAPP(X14,X45)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_CollectE) ).
fof(f189363,plain,
~ hBOOL(hAPP(v_ts,sK88)),
inference(resolution,[],[f188546,f16951]) ).
fof(f16951,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_G)),
inference(cnf_transformation,[],[f5225]) ).
fof(f5225,axiom,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_G)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f188546,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool)),X1),v_G))
| ~ hBOOL(hAPP(X1,sK88)) ),
inference(resolution,[],[f22208,f46905]) ).
fof(f46905,plain,
~ hBOOL(hAPP(v_G,sK88)),
inference(resolution,[],[f26219,f27034]) ).
fof(f27034,plain,
~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK88),v_G)),
inference(resolution,[],[f16948,f16950]) ).
fof(f16950,plain,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK87,sK88),
inference(cnf_transformation,[],[f14652]) ).
fof(f16948,plain,
! [X2] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK87,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ),
inference(cnf_transformation,[],[f14652]) ).
fof(f26219,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(c_member(X0),X1),X2))
| ~ hBOOL(hAPP(X2,X1)) ),
inference(forward_demodulation,[],[f20583,f17811]) ).
fof(f20583,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(c_member(X0),X1),hAPP(c_Set_OCollect(X0),X2)))
| ~ hBOOL(hAPP(X2,X1)) ),
inference(cnf_transformation,[],[f12128]) ).
fof(f12128,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(hAPP(c_member(X0),X1),hAPP(c_Set_OCollect(X0),X2)))
| ~ hBOOL(hAPP(X2,X1)) ),
inference(ennf_transformation,[],[f7783]) ).
fof(f7783,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(X2,X1))
=> hBOOL(hAPP(hAPP(c_member(X0),X1),hAPP(c_Set_OCollect(X0),X2))) ),
inference(rectify,[],[f3322]) ).
fof(f3322,axiom,
! [X5,X45,X14] :
( hBOOL(hAPP(X14,X45))
=> hBOOL(hAPP(hAPP(c_member(X5),X45),hAPP(c_Set_OCollect(X5),X14))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_CollectI) ).
fof(f22208,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(X0,X2))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X0))
| ~ hBOOL(hAPP(X3,X2)) ),
inference(cnf_transformation,[],[f13175]) ).
fof(f13175,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(X0,X2))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X0))
| ~ hBOOL(hAPP(X3,X2)) ),
inference(flattening,[],[f13174]) ).
fof(f13174,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(X0,X2))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X0))
| ~ hBOOL(hAPP(X3,X2)) ),
inference(ennf_transformation,[],[f8850]) ).
fof(f8850,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(X3,X2))
=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X0))
=> hBOOL(hAPP(X0,X2)) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X13,X5,X12,X14] :
( hBOOL(hAPP(X14,X12))
=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool)),X14),X13))
=> hBOOL(hAPP(X13,X12)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rev__predicate1D) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW337+1 : TPTP v8.2.0. Released v5.2.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n024.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 : Sat May 18 19:54:52 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (28791)Running in auto input_syntax mode. Trying TPTP
% 0.60/0.77 % (28796)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.60/0.78 % (28795)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.60/0.78 % (28792)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.60/0.79 % (28793)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.60/0.79 % (28798)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.60/0.80 % (28794)WARNING: value z3 for option sas not known
% 0.60/0.80 % (28794)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.60/0.80 % (28797)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 34.13/5.62 TRYING [1]
% 36.87/6.07 TRYING [2]
% 51.50/8.10 TRYING [1]
% 55.81/8.70 TRYING [2]
% 74.65/11.48 % (28797)First to succeed.
% 75.19/11.48 % (28797)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28791"
% 75.19/11.51 % (28797)Refutation found. Thanks to Tanya!
% 75.19/11.51 % SZS status Theorem for theBenchmark
% 75.19/11.51 % SZS output start Proof for theBenchmark
% See solution above
% 75.19/11.51 % (28797)------------------------------
% 75.19/11.51 % (28797)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 75.19/11.51 % (28797)Termination reason: Refutation
% 75.19/11.51
% 75.19/11.51 % (28797)Memory used [KB]: 140372
% 75.19/11.51 % (28797)Time elapsed: 10.710 s
% 75.19/11.51 % (28797)Instructions burned: 24673 (million)
% 75.19/11.51 % (28791)Success in time 11.092 s
%------------------------------------------------------------------------------