TSTP Solution File: SWV841-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV841-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 Apr 30 17:07:13 EDT 2024
% Result : Unsatisfiable 23.84s 3.83s
% Output : Refutation 23.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 16 unt; 0 def)
% Number of atoms : 23 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 9 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f173364,plain,
$false,
inference(resolution,[],[f173085,f500]) ).
fof(f500,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f173085,plain,
! [X0] : ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),X0),t_a),
inference(forward_demodulation,[],[f173078,f569]) ).
fof(f569,plain,
! [X3,X0,X5] : hAPP(hAPP(c_Set_Oinsert(X0),X5),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),c_fequal(X5,X0)),X3),
inference(forward_demodulation,[],[f481,f564]) ).
fof(f564,plain,
! [X0,X5] : hAPP(hAPP(c_Set_Oinsert(X0),X5),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))) = c_fequal(X5,X0),
inference(forward_demodulation,[],[f457,f107]) ).
fof(f107,axiom,
! [X0,X15] : c_Collect(X15,X0) = X15,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Collect__def_0) ).
fof(f457,axiom,
! [X0,X5] : hAPP(hAPP(c_Set_Oinsert(X0),X5),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))) = c_Collect(c_fequal(X5,X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).
fof(f481,axiom,
! [X3,X0,X5] : hAPP(hAPP(c_Set_Oinsert(X0),X5),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X0),X5),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__is__Un_0) ).
fof(f173078,plain,
! [X0] : ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),c_fequal(v_t,tc_Hoare__Mirabelle_Otriple(t_a))),X0),t_a),
inference(unit_resulting_resolution,[],[f8143,f172991,f485]) ).
fof(f485,axiom,
! [X0,X56,X54,X35] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X56,X54,X0)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X35,X56,X0)
| c_Hoare__Mirabelle_Ohoare__derivs(X35,X54,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cut_0) ).
fof(f172991,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fequal(v_t,tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
inference(forward_demodulation,[],[f172989,f564]) ).
fof(f172989,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
inference(unit_resulting_resolution,[],[f2769,f501]) ).
fof(f501,axiom,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f2769,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a),
inference(unit_resulting_resolution,[],[f500,f2201,f485]) ).
fof(f2201,plain,
! [X2,X0,X1] : c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),X1),X2),X2,X0),
inference(unit_resulting_resolution,[],[f423,f438]) ).
fof(f438,axiom,
! [X0,X54,X35] :
( ~ c_lessequals(X54,X35,tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(X35,X54,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_asm_0) ).
fof(f423,axiom,
! [X0,X4,X5] : c_lessequals(X4,hAPP(hAPP(c_Set_Oinsert(X0),X5),X4),tc_fun(X0,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insertI_0) ).
fof(f8143,plain,
! [X2,X0,X1] : c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_bool)),X1),X2),X1,X0),
inference(unit_resulting_resolution,[],[f63,f438]) ).
fof(f63,axiom,
! [X3,X0,X4] : c_lessequals(X3,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X3),X4),tc_fun(X0,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__upper1_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV841-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.37 % Computer : n027.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Apr 30 05:16:32 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % (9138)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.42 % (9139)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.23/0.42 % (9141)WARNING: value z3 for option sas not known
% 0.23/0.42 % (9144)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)
% 0.23/0.42 % (9140)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.23/0.42 % (9141)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)
% 0.23/0.42 % (9145)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)
% 0.23/0.43 % (9143)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)
% 0.23/0.43 % (9142)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 1.51/0.60 TRYING [1]
% 1.77/0.63 TRYING [2]
% 3.86/1.00 TRYING [3]
% 4.85/1.14 TRYING [1]
% 5.74/1.22 TRYING [2]
% 8.75/1.68 TRYING [1]
% 9.16/1.71 TRYING [2]
% 10.72/1.93 TRYING [3]
% 14.80/2.54 TRYING [3]
% 20.35/3.36 TRYING [4]
% 22.57/3.64 TRYING [4]
% 23.84/3.82 % (9145)First to succeed.
% 23.84/3.83 % (9145)Refutation found. Thanks to Tanya!
% 23.84/3.83 % SZS status Unsatisfiable for theBenchmark
% 23.84/3.83 % SZS output start Proof for theBenchmark
% See solution above
% 23.84/3.83 % (9145)------------------------------
% 23.84/3.83 % (9145)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 23.84/3.83 % (9145)Termination reason: Refutation
% 23.84/3.83
% 23.84/3.83 % (9145)Memory used [KB]: 48348
% 23.84/3.83 % (9145)Time elapsed: 3.402 s
% 23.84/3.83 % (9145)Instructions burned: 8093 (million)
% 23.84/3.83 % (9145)------------------------------
% 23.84/3.83 % (9145)------------------------------
% 23.84/3.83 % (9138)Success in time 3.46 s
%------------------------------------------------------------------------------