TSTP Solution File: SCT031-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SCT031-1 : 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 : n010.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 : Sun May 5 09:00:27 EDT 2024
% Result : Unsatisfiable 155.80s 22.72s
% Output : Refutation 155.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 33 ( 20 unt; 0 def)
% Number of atoms : 48 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 23 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-4 aty)
% Number of variables : 83 ( 83 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f179158,plain,
$false,
inference(resolution,[],[f177969,f13020]) ).
fof(f13020,plain,
hBOOL(hAPP(c_FuncSet_OPi(c_Arrow__Order__Mirabelle_OProf,c_COMBK(c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_F)),
inference(backward_demodulation,[],[f661,f12755]) ).
fof(f12755,plain,
! [X2,X0,X1] : hAPP(X1,X2) = hAPP(hAPP(c_in(X0),X2),X1),
inference(superposition,[],[f293,f10551]) ).
fof(f10551,plain,
! [X0,X1] : hAPP(c_COMBC(c_in(X0),X0,tc_fun(X0,tc_bool),tc_bool),X1) = X1,
inference(superposition,[],[f554,f323]) ).
fof(f323,axiom,
! [X0,X20] : c_Collect(X20,X0) = X20,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Collect__def_0) ).
fof(f554,axiom,
! [X0,X8] : c_Collect(hAPP(c_COMBC(c_in(X0),X0,tc_fun(X0,tc_bool),tc_bool),X8),X0) = X8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Collect__mem__eq_0) ).
fof(f293,axiom,
! [X21,X10,X0,X18,X9,X20] : hAPP(hAPP(c_COMBC(X20,X10,X9,X0),X21),X18) = hAPP(hAPP(X20,X18),X21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBC__def_0) ).
fof(f661,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_F),c_FuncSet_OPi(c_Arrow__Order__Mirabelle_OProf,c_COMBK(c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f177969,plain,
! [X0,X1] : ~ hBOOL(hAPP(c_FuncSet_OPi(c_Arrow__Order__Mirabelle_OProf,c_COMBK(c_Arrow__Order__Mirabelle_OLin,tc_fun(X0,tc_bool),X1),X1,X0),v_F)),
inference(resolution,[],[f177939,f13021]) ).
fof(f13021,plain,
! [X10,X0,X11,X8,X6] :
( c_lessequals(c_Set_Oimage(X6,X8,X0,X10),X11,tc_fun(X10,tc_bool))
| ~ hBOOL(hAPP(c_FuncSet_OPi(X8,c_COMBK(X11,tc_fun(X10,tc_bool),X0),X0,X10),X6)) ),
inference(backward_demodulation,[],[f347,f12755]) ).
fof(f347,axiom,
! [X10,X0,X11,X8,X6] :
( c_lessequals(c_Set_Oimage(X6,X8,X0,X10),X11,tc_fun(X10,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X0,X10)),X6),c_FuncSet_OPi(X8,c_COMBK(X11,tc_fun(X10,tc_bool),X0),X0,X10))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_funcset__image_0) ).
fof(f177939,plain,
! [X2,X0,X1] : ~ c_lessequals(c_Set_Oimage(v_F,c_Arrow__Order__Mirabelle_OProf,X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(X2,tc_bool)),
inference(resolution,[],[f177934,f13008]) ).
fof(f13008,plain,
! [X0,X11,X8] :
( hBOOL(hAPP(c_Set_OPow(X11,X0),X8))
| ~ c_lessequals(X8,X11,tc_fun(X0,tc_bool)) ),
inference(backward_demodulation,[],[f181,f12755]) ).
fof(f181,axiom,
! [X0,X11,X8] :
( ~ c_lessequals(X8,X11,tc_fun(X0,tc_bool))
| hBOOL(hAPP(hAPP(c_in(tc_fun(X0,tc_bool)),X8),c_Set_OPow(X11,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PowI_0) ).
fof(f177934,plain,
! [X2,X0,X1] : ~ hBOOL(hAPP(c_Set_OPow(c_Arrow__Order__Mirabelle_OLin,X1),c_Set_Oimage(v_F,c_Arrow__Order__Mirabelle_OProf,X0,X2))),
inference(superposition,[],[f177096,f5326]) ).
fof(f5326,plain,
! [X0] : c_Arrow__Order__Mirabelle_OProf = c_Set_Oinsert(v_Q____,c_Arrow__Order__Mirabelle_OProf,X0),
inference(resolution,[],[f5324,f5277]) ).
fof(f5277,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(X1,X0))
| c_Set_Oinsert(X0,X1,X2) = X1 ),
inference(resolution,[],[f616,f659]) ).
fof(f659,axiom,
! [X2,X28,X0] :
( hBOOL(hAPP(hAPP(c_in(X0),X2),X28))
| ~ hBOOL(hAPP(X28,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
fof(f616,axiom,
! [X3,X0,X8] :
( ~ hBOOL(hAPP(hAPP(c_in(X0),X3),X8))
| c_Set_Oinsert(X3,X8,X0) = X8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
fof(f5324,plain,
hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,v_Q____)),
inference(resolution,[],[f662,f660]) ).
fof(f660,axiom,
! [X2,X28,X0] :
( ~ hBOOL(hAPP(hAPP(c_in(X0),X2),X28))
| hBOOL(hAPP(X28,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
fof(f662,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Q____),c_Arrow__Order__Mirabelle_OProf)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f177096,plain,
! [X2,X3,X0,X1] : ~ hBOOL(hAPP(c_Set_OPow(c_Arrow__Order__Mirabelle_OLin,X3),c_Set_Oimage(v_F,c_Set_Oinsert(v_Q____,X0,X1),X1,X2))),
inference(superposition,[],[f176895,f519]) ).
fof(f519,axiom,
! [X3,X10,X0,X11,X6] : c_Set_Oimage(X6,c_Set_Oinsert(X3,X11,X10),X10,X0) = c_Set_Oinsert(hAPP(X6,X3),c_Set_Oimage(X6,X11,X10,X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__insert_0) ).
fof(f176895,plain,
! [X2,X0,X1] : ~ hBOOL(hAPP(c_Set_OPow(c_Arrow__Order__Mirabelle_OLin,X2),c_Set_Oinsert(hAPP(v_F,v_Q____),X0,X1))),
inference(resolution,[],[f176627,f523]) ).
fof(f523,axiom,
! [X2,X0,X8] : hBOOL(hAPP(c_Set_Oinsert(X2,X8,X0),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).
fof(f176627,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(c_Set_OPow(c_Arrow__Order__Mirabelle_OLin,X0),X1))
| ~ hBOOL(hAPP(X1,hAPP(v_F,v_Q____))) ),
inference(resolution,[],[f14314,f1149]) ).
fof(f1149,plain,
~ hBOOL(hAPP(c_Arrow__Order__Mirabelle_OLin,hAPP(v_F,v_Q____))),
inference(resolution,[],[f659,f663]) ).
fof(f663,axiom,
~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(v_F,v_Q____)),c_Arrow__Order__Mirabelle_OLin)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f14314,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(X0,X3))
| ~ hBOOL(hAPP(c_Set_OPow(X0,X1),X2))
| ~ hBOOL(hAPP(X2,X3)) ),
inference(resolution,[],[f13007,f99]) ).
fof(f99,axiom,
! [X2,X21,X0,X20] :
( ~ c_lessequals(X20,X21,tc_fun(X0,tc_bool))
| hBOOL(hAPP(X21,X2))
| ~ hBOOL(hAPP(X20,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_predicate1D_0) ).
fof(f13007,plain,
! [X0,X11,X8] :
( c_lessequals(X8,X11,tc_fun(X0,tc_bool))
| ~ hBOOL(hAPP(c_Set_OPow(X11,X0),X8)) ),
inference(backward_demodulation,[],[f180,f12755]) ).
fof(f180,axiom,
! [X0,X11,X8] :
( c_lessequals(X8,X11,tc_fun(X0,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X0,tc_bool)),X8),c_Set_OPow(X11,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PowD_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SCT031-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 12:48:48 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (17714)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (17717)WARNING: value z3 for option sas not known
% 0.21/0.42 % (17715)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.42 % (17717)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)
% 0.21/0.42 % (17718)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.42 % (17716)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.42 % (17719)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)
% 0.21/0.42 % (17721)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)
% 0.21/0.42 % (17720)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)
% 1.79/0.66 TRYING [1]
% 2.05/0.68 TRYING [2]
% 4.91/1.14 TRYING [1]
% 6.11/1.25 TRYING [2]
% 6.58/1.36 TRYING [3]
% 9.13/1.73 TRYING [1]
% 9.71/1.77 TRYING [2]
% 13.91/2.39 TRYING [3]
% 21.18/3.44 TRYING [3]
% 32.93/5.14 TRYING [4]
% 38.26/5.85 TRYING [4]
% 142.08/20.73 TRYING [4]
% 155.80/22.69 % (17720)First to succeed.
% 155.80/22.69 % (17720)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17714"
% 155.80/22.72 % (17720)Refutation found. Thanks to Tanya!
% 155.80/22.72 % SZS status Unsatisfiable for theBenchmark
% 155.80/22.72 % SZS output start Proof for theBenchmark
% See solution above
% 155.80/22.72 % (17720)------------------------------
% 155.80/22.72 % (17720)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 155.80/22.72 % (17720)Termination reason: Refutation
% 155.80/22.72
% 155.80/22.72 % (17720)Memory used [KB]: 116219
% 155.80/22.72 % (17720)Time elapsed: 22.280 s
% 155.80/22.72 % (17720)Instructions burned: 39426 (million)
% 155.80/22.72 % (17714)Success in time 22.322 s
%------------------------------------------------------------------------------