TSTP Solution File: GRP660-14 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP660-14 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n001.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 : Thu Aug 31 01:28:41 EDT 2023
% Result : Unsatisfiable 0.17s 0.52s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 8
% Syntax : Number of formulae : 103 ( 103 unt; 0 def)
% Number of atoms : 103 ( 102 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 90 (; 90 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7325,plain,
$false,
inference(subsumption_resolution,[],[f7324,f9]) ).
fof(f9,plain,
x0 != sF1,
inference(definition_folding,[],[f6,f8,f7]) ).
fof(f7,plain,
ld(x1,x1) = sF0,
introduced(function_definition,[]) ).
fof(f8,plain,
mult(sF0,x0) = sF1,
introduced(function_definition,[]) ).
fof(f6,axiom,
x0 != mult(ld(x1,x1),x0),
file('/export/starexec/sandbox/tmp/tmp.qkCJUCE1or/Vampire---4.8_24915',goal) ).
fof(f7324,plain,
x0 = sF1,
inference(forward_demodulation,[],[f7323,f7258]) ).
fof(f7258,plain,
sF1 = mult(sF1,sF0),
inference(forward_demodulation,[],[f7257,f8]) ).
fof(f7257,plain,
sF1 = mult(mult(sF0,x0),sF0),
inference(forward_demodulation,[],[f7256,f3331]) ).
fof(f3331,plain,
! [X2] : mult(sF0,mult(sF0,mult(X2,sF0))) = mult(mult(sF0,X2),sF0),
inference(superposition,[],[f5,f3250]) ).
fof(f3250,plain,
sF0 = mult(sF0,sF0),
inference(forward_demodulation,[],[f3209,f1153]) ).
fof(f1153,plain,
mult(sF0,sF0) = rd(x1,x1),
inference(superposition,[],[f1,f1136]) ).
fof(f1136,plain,
sF0 = ld(sF0,rd(x1,x1)),
inference(forward_demodulation,[],[f1135,f4]) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/tmp/tmp.qkCJUCE1or/Vampire---4.8_24915',f04) ).
fof(f1135,plain,
rd(mult(sF0,x1),x1) = ld(sF0,rd(x1,x1)),
inference(forward_demodulation,[],[f1117,f115]) ).
fof(f115,plain,
mult(sF0,x1) = ld(sF0,x1),
inference(superposition,[],[f2,f108]) ).
fof(f108,plain,
x1 = mult(sF0,mult(sF0,x1)),
inference(forward_demodulation,[],[f106,f2]) ).
fof(f106,plain,
mult(sF0,mult(sF0,x1)) = ld(x1,mult(x1,x1)),
inference(superposition,[],[f14,f93]) ).
fof(f93,plain,
x1 = rd(mult(x1,x1),mult(sF0,mult(sF0,x1))),
inference(superposition,[],[f55,f10]) ).
fof(f10,plain,
x1 = mult(x1,sF0),
inference(superposition,[],[f1,f7]) ).
fof(f55,plain,
! [X2] : x1 = rd(mult(mult(x1,X2),x1),mult(sF0,mult(X2,x1))),
inference(superposition,[],[f4,f31]) ).
fof(f31,plain,
! [X10] : mult(x1,mult(sF0,mult(X10,x1))) = mult(mult(x1,X10),x1),
inference(superposition,[],[f5,f10]) ).
fof(f14,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[],[f2,f3]) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/tmp/tmp.qkCJUCE1or/Vampire---4.8_24915',f03) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/tmp/tmp.qkCJUCE1or/Vampire---4.8_24915',f02) ).
fof(f1117,plain,
rd(ld(sF0,x1),x1) = ld(sF0,rd(x1,x1)),
inference(superposition,[],[f992,f10]) ).
fof(f992,plain,
! [X14] : ld(sF0,rd(X14,x1)) = rd(ld(sF0,mult(X14,sF0)),x1),
inference(superposition,[],[f4,f931]) ).
fof(f931,plain,
! [X0] : ld(sF0,mult(X0,sF0)) = mult(ld(sF0,rd(X0,x1)),x1),
inference(superposition,[],[f14,f870]) ).
fof(f870,plain,
! [X4] : sF0 = rd(mult(X4,sF0),mult(ld(sF0,rd(X4,x1)),x1)),
inference(superposition,[],[f847,f3]) ).
fof(f847,plain,
! [X10] : sF0 = rd(mult(mult(X10,x1),sF0),mult(ld(sF0,X10),x1)),
inference(superposition,[],[f4,f794]) ).
fof(f794,plain,
! [X24] : mult(mult(X24,x1),sF0) = mult(sF0,mult(ld(sF0,X24),x1)),
inference(superposition,[],[f28,f10]) ).
fof(f28,plain,
! [X2,X0,X1] : mult(X0,mult(ld(X0,X1),mult(X2,X0))) = mult(mult(X1,X2),X0),
inference(superposition,[],[f5,f1]) ).
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/tmp/tmp.qkCJUCE1or/Vampire---4.8_24915',f01) ).
fof(f3209,plain,
sF0 = rd(x1,x1),
inference(superposition,[],[f114,f3206]) ).
fof(f3206,plain,
x1 = mult(sF0,x1),
inference(forward_demodulation,[],[f3202,f15]) ).
fof(f15,plain,
! [X0,X1] : rd(X1,ld(X0,X1)) = X0,
inference(superposition,[],[f4,f1]) ).
fof(f3202,plain,
mult(sF0,x1) = rd(sF0,ld(x1,sF0)),
inference(superposition,[],[f4,f3195]) ).
fof(f3195,plain,
sF0 = mult(mult(sF0,x1),ld(x1,sF0)),
inference(forward_demodulation,[],[f3181,f2730]) ).
fof(f2730,plain,
sF0 = ld(ld(x1,sF0),ld(x1,sF0)),
inference(superposition,[],[f2,f2711]) ).
fof(f2711,plain,
ld(x1,sF0) = mult(ld(x1,sF0),sF0),
inference(superposition,[],[f14,f2685]) ).
fof(f2685,plain,
x1 = rd(sF0,mult(ld(x1,sF0),sF0)),
inference(superposition,[],[f2364,f4]) ).
fof(f2364,plain,
! [X12] : x1 = rd(rd(mult(sF0,X12),sF0),mult(ld(x1,sF0),X12)),
inference(superposition,[],[f4,f2023]) ).
fof(f2023,plain,
! [X15] : rd(mult(sF0,X15),sF0) = mult(x1,mult(ld(x1,sF0),X15)),
inference(forward_demodulation,[],[f1990,f793]) ).
fof(f793,plain,
! [X21,X22,X23] : mult(mult(X23,rd(X21,X22)),X22) = mult(X22,mult(ld(X22,X23),X21)),
inference(superposition,[],[f28,f3]) ).
fof(f1990,plain,
! [X15] : rd(mult(sF0,X15),sF0) = mult(mult(sF0,rd(X15,x1)),x1),
inference(superposition,[],[f3,f1810]) ).
fof(f1810,plain,
! [X3] : rd(rd(mult(sF0,X3),sF0),x1) = mult(sF0,rd(X3,x1)),
inference(superposition,[],[f1608,f2]) ).
fof(f1608,plain,
! [X15] : rd(rd(X15,sF0),x1) = mult(sF0,rd(ld(sF0,X15),x1)),
inference(superposition,[],[f1,f1116]) ).
fof(f1116,plain,
! [X4] : rd(ld(sF0,X4),x1) = ld(sF0,rd(rd(X4,sF0),x1)),
inference(superposition,[],[f992,f3]) ).
fof(f3181,plain,
ld(ld(x1,sF0),ld(x1,sF0)) = mult(mult(sF0,x1),ld(x1,sF0)),
inference(superposition,[],[f2964,f2711]) ).
fof(f2964,plain,
! [X19] : ld(ld(x1,sF0),X19) = mult(mult(sF0,x1),mult(X19,sF0)),
inference(forward_demodulation,[],[f2963,f115]) ).
fof(f2963,plain,
! [X19] : ld(ld(x1,sF0),X19) = mult(ld(sF0,x1),mult(X19,sF0)),
inference(forward_demodulation,[],[f2944,f805]) ).
fof(f805,plain,
! [X8,X9,X7] : mult(ld(X7,X8),mult(X9,X7)) = ld(X7,mult(mult(X8,X9),X7)),
inference(superposition,[],[f2,f28]) ).
fof(f2944,plain,
! [X19] : ld(ld(x1,sF0),X19) = ld(sF0,mult(mult(x1,X19),sF0)),
inference(superposition,[],[f2,f2571]) ).
fof(f2571,plain,
! [X18] : mult(sF0,ld(ld(x1,sF0),X18)) = mult(mult(x1,X18),sF0),
inference(superposition,[],[f3,f2348]) ).
fof(f2348,plain,
! [X0] : mult(x1,X0) = rd(mult(sF0,ld(ld(x1,sF0),X0)),sF0),
inference(superposition,[],[f2023,f1]) ).
fof(f114,plain,
sF0 = rd(x1,mult(sF0,x1)),
inference(superposition,[],[f4,f108]) ).
fof(f5,axiom,
! [X2,X0,X1] : mult(mult(mult(X0,X1),X2),X0) = mult(X0,mult(X1,mult(X2,X0))),
file('/export/starexec/sandbox/tmp/tmp.qkCJUCE1or/Vampire---4.8_24915',f05) ).
fof(f7256,plain,
sF1 = mult(sF0,mult(sF0,mult(x0,sF0))),
inference(forward_demodulation,[],[f7255,f4]) ).
fof(f7255,plain,
sF1 = mult(sF0,rd(mult(mult(sF0,mult(x0,sF0)),x1),x1)),
inference(forward_demodulation,[],[f7254,f1810]) ).
fof(f7254,plain,
sF1 = rd(rd(mult(sF0,mult(mult(sF0,mult(x0,sF0)),x1)),sF0),x1),
inference(forward_demodulation,[],[f7088,f16]) ).
fof(f16,plain,
x1 = rd(x1,sF0),
inference(superposition,[],[f4,f10]) ).
fof(f7088,plain,
sF1 = rd(rd(mult(sF0,mult(mult(sF0,mult(x0,sF0)),x1)),sF0),rd(x1,sF0)),
inference(superposition,[],[f269,f6974]) ).
fof(f6974,plain,
! [X4] : x1 = ld(X4,mult(mult(sF0,mult(X4,sF0)),x1)),
inference(forward_demodulation,[],[f6973,f2]) ).
fof(f6973,plain,
! [X4] : x1 = ld(ld(x1,mult(x1,X4)),mult(mult(sF0,mult(X4,sF0)),x1)),
inference(forward_demodulation,[],[f6972,f4528]) ).
fof(f4528,plain,
! [X0] : mult(mult(sF0,X0),x1) = mult(ld(x1,sF0),mult(mult(x1,X0),x1)),
inference(forward_demodulation,[],[f4527,f16]) ).
fof(f4527,plain,
! [X0] : mult(mult(sF0,X0),rd(x1,sF0)) = mult(ld(x1,sF0),mult(mult(x1,X0),x1)),
inference(forward_demodulation,[],[f4497,f4031]) ).
fof(f4031,plain,
! [X50,X51,X49] : mult(mult(X50,X51),rd(X49,X50)) = rd(mult(X50,mult(X51,X49)),X50),
inference(superposition,[],[f35,f3]) ).
fof(f35,plain,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = rd(mult(X0,mult(X1,mult(X2,X0))),X0),
inference(superposition,[],[f4,f5]) ).
fof(f4497,plain,
! [X0] : rd(mult(sF0,mult(X0,x1)),sF0) = mult(ld(x1,sF0),mult(mult(x1,X0),x1)),
inference(superposition,[],[f4265,f31]) ).
fof(f4265,plain,
! [X5] : rd(X5,sF0) = mult(ld(x1,sF0),mult(x1,X5)),
inference(superposition,[],[f3871,f3]) ).
fof(f3871,plain,
! [X7] : mult(ld(x1,sF0),mult(x1,mult(X7,sF0))) = X7,
inference(superposition,[],[f1,f3222]) ).
fof(f3222,plain,
! [X0] : mult(x1,mult(X0,sF0)) = ld(ld(x1,sF0),X0),
inference(superposition,[],[f2964,f3206]) ).
fof(f6972,plain,
! [X4] : x1 = ld(ld(x1,mult(x1,X4)),mult(ld(x1,sF0),mult(mult(x1,mult(X4,sF0)),x1))),
inference(forward_demodulation,[],[f6971,f3222]) ).
fof(f6971,plain,
! [X4] : x1 = ld(ld(x1,mult(x1,X4)),mult(ld(x1,sF0),mult(ld(ld(x1,sF0),X4),x1))),
inference(forward_demodulation,[],[f6938,f805]) ).
fof(f6938,plain,
! [X4] : x1 = ld(ld(x1,mult(x1,X4)),ld(x1,mult(mult(sF0,ld(ld(x1,sF0),X4)),x1))),
inference(superposition,[],[f6352,f2348]) ).
fof(f6352,plain,
! [X17] : x1 = ld(ld(x1,rd(X17,sF0)),ld(x1,mult(X17,x1))),
inference(superposition,[],[f14,f5732]) ).
fof(f5732,plain,
! [X24] : rd(ld(x1,mult(X24,x1)),x1) = ld(x1,rd(X24,sF0)),
inference(superposition,[],[f2,f5148]) ).
fof(f5148,plain,
! [X3] : rd(X3,sF0) = mult(x1,rd(ld(x1,mult(X3,x1)),x1)),
inference(superposition,[],[f15,f4936]) ).
fof(f4936,plain,
! [X8] : sF0 = ld(mult(x1,rd(ld(x1,mult(X8,x1)),x1)),X8),
inference(forward_demodulation,[],[f4935,f2073]) ).
fof(f2073,plain,
! [X16,X14,X15] : mult(X15,mult(ld(mult(X14,X15),X16),X14)) = ld(X14,mult(X16,X14)),
inference(superposition,[],[f2,f34]) ).
fof(f34,plain,
! [X3,X4,X5] : mult(X5,X3) = mult(X3,mult(X4,mult(ld(mult(X3,X4),X5),X3))),
inference(superposition,[],[f5,f1]) ).
fof(f4935,plain,
! [X8,X7] : sF0 = ld(mult(x1,rd(mult(X7,mult(ld(mult(x1,X7),X8),x1)),x1)),X8),
inference(forward_demodulation,[],[f4879,f4]) ).
fof(f4879,plain,
! [X8,X7] : sF0 = ld(mult(x1,rd(mult(X7,mult(ld(mult(x1,X7),X8),x1)),x1)),rd(mult(X8,x1),x1)),
inference(superposition,[],[f4741,f34]) ).
fof(f4741,plain,
! [X23] : sF0 = ld(mult(x1,rd(X23,x1)),rd(mult(x1,X23),x1)),
inference(superposition,[],[f2,f4630]) ).
fof(f4630,plain,
! [X5] : mult(mult(x1,rd(X5,x1)),sF0) = rd(mult(x1,X5),x1),
inference(superposition,[],[f4141,f3]) ).
fof(f4141,plain,
! [X41] : rd(mult(x1,mult(X41,x1)),x1) = mult(mult(x1,X41),sF0),
inference(forward_demodulation,[],[f4025,f3250]) ).
fof(f4025,plain,
! [X41] : mult(mult(x1,X41),mult(sF0,sF0)) = rd(mult(x1,mult(X41,x1)),x1),
inference(superposition,[],[f35,f1203]) ).
fof(f1203,plain,
x1 = mult(mult(sF0,sF0),x1),
inference(superposition,[],[f3,f1153]) ).
fof(f269,plain,
! [X6] : sF1 = rd(rd(mult(sF0,X6),sF0),rd(ld(x0,X6),sF0)),
inference(superposition,[],[f4,f131]) ).
fof(f131,plain,
! [X0] : mult(sF1,rd(ld(x0,X0),sF0)) = rd(mult(sF0,X0),sF0),
inference(superposition,[],[f63,f1]) ).
fof(f63,plain,
! [X4] : mult(sF1,rd(X4,sF0)) = rd(mult(sF0,mult(x0,X4)),sF0),
inference(superposition,[],[f4,f38]) ).
fof(f38,plain,
! [X2] : mult(mult(sF1,rd(X2,sF0)),sF0) = mult(sF0,mult(x0,X2)),
inference(superposition,[],[f32,f3]) ).
fof(f32,plain,
! [X11] : mult(sF0,mult(x0,mult(X11,sF0))) = mult(mult(sF1,X11),sF0),
inference(superposition,[],[f5,f8]) ).
fof(f7323,plain,
x0 = mult(sF1,sF0),
inference(forward_demodulation,[],[f7322,f4]) ).
fof(f7322,plain,
x0 = rd(mult(mult(sF1,sF0),x1),x1),
inference(forward_demodulation,[],[f7321,f10]) ).
fof(f7321,plain,
x0 = rd(mult(mult(sF1,sF0),mult(x1,sF0)),x1),
inference(forward_demodulation,[],[f7320,f1134]) ).
fof(f1134,plain,
! [X2,X3] : ld(sF0,rd(mult(mult(sF0,X2),X3),x1)) = rd(mult(X2,mult(X3,sF0)),x1),
inference(forward_demodulation,[],[f1115,f2]) ).
fof(f1115,plain,
! [X2,X3] : ld(sF0,rd(mult(mult(sF0,X2),X3),x1)) = rd(ld(sF0,mult(sF0,mult(X2,mult(X3,sF0)))),x1),
inference(superposition,[],[f992,f5]) ).
fof(f7320,plain,
x0 = ld(sF0,rd(mult(mult(sF0,mult(sF1,sF0)),x1),x1)),
inference(forward_demodulation,[],[f7319,f992]) ).
fof(f7319,plain,
x0 = rd(ld(sF0,mult(mult(mult(sF0,mult(sF1,sF0)),x1),sF0)),x1),
inference(forward_demodulation,[],[f7103,f10]) ).
fof(f7103,plain,
x0 = rd(ld(sF0,mult(mult(mult(sF0,mult(sF1,sF0)),x1),sF0)),mult(x1,sF0)),
inference(superposition,[],[f179,f6974]) ).
fof(f179,plain,
! [X7] : x0 = rd(ld(sF0,mult(X7,sF0)),mult(ld(sF1,X7),sF0)),
inference(superposition,[],[f4,f80]) ).
fof(f80,plain,
! [X0] : mult(x0,mult(ld(sF1,X0),sF0)) = ld(sF0,mult(X0,sF0)),
inference(superposition,[],[f42,f1]) ).
fof(f42,plain,
! [X3] : mult(x0,mult(X3,sF0)) = ld(sF0,mult(mult(sF1,X3),sF0)),
inference(superposition,[],[f2,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP660-14 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.12 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.11/0.33 % Computer : n001.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Aug 29 00:01:21 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.11/0.33 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.qkCJUCE1or/Vampire---4.8_24915
% 0.11/0.33 % (25029)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.39 % (25032)lrs+10_16_av=off:drc=off:nwc=1.5:sp=scramble:tgt=ground:stl=125_501 on Vampire---4 for (501ds/0Mi)
% 0.17/0.39 % (25037)dis+10_50_av=off:bd=preordered:drc=off:fde=unused:nwc=1.5:sims=off:sp=reverse_weighted_frequency:to=lpo_239 on Vampire---4 for (239ds/0Mi)
% 0.17/0.39 % (25038)lrs+10_10_av=off:drc=off:sp=frequency:tgt=ground:stl=62_102 on Vampire---4 for (102ds/0Mi)
% 0.17/0.39 % (25031)lrs+10_5_av=off:drc=off:fde=none:nwc=1.1:sp=scramble:to=lpo:tgt=ground:stl=62_518 on Vampire---4 for (518ds/0Mi)
% 0.17/0.39 % (25036)lrs+10_64_av=off:bd=off:drc=off:fde=unused:sp=frequency:tgt=full:stl=62_243 on Vampire---4 for (243ds/0Mi)
% 0.17/0.39 % (25035)lrs+10_20_av=off:bd=preordered:drc=off:fde=unused:sims=off:to=lpo:stl=62_369 on Vampire---4 for (369ds/0Mi)
% 0.17/0.39 % (25030)lrs+10_4:3_av=off:bd=preordered:drc=off:fde=unused:nwc=1.7:sp=weighted_frequency:to=lpo:tgt=ground:stl=125_692 on Vampire---4 for (692ds/0Mi)
% 0.17/0.52 % (25036)First to succeed.
% 0.17/0.52 % (25036)Refutation found. Thanks to Tanya!
% 0.17/0.52 % SZS status Unsatisfiable for Vampire---4
% 0.17/0.52 % SZS output start Proof for Vampire---4
% See solution above
% 0.17/0.53 % (25036)------------------------------
% 0.17/0.53 % (25036)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.53 % (25036)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.53 % (25036)Termination reason: Refutation
% 0.17/0.53
% 0.17/0.53 % (25036)Memory used [KB]: 4605
% 0.17/0.53 % (25036)Time elapsed: 0.133 s
% 0.17/0.53 % (25036)------------------------------
% 0.17/0.53 % (25036)------------------------------
% 0.17/0.53 % (25029)Success in time 0.188 s
% 0.17/0.53 % Vampire---4.8 exiting
%------------------------------------------------------------------------------