TSTP Solution File: LCL096-10 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL096-10 : TPTP v8.1.2. Released v7.3.0.
% 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 : n005.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 08:21:47 EDT 2023
% Result : Unsatisfiable 2.45s 0.70s
% Output : Refutation 2.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 37 ( 37 unt; 0 def)
% Number of atoms : 37 ( 36 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-4 aty)
% Number of variables : 99 (; 99 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3614,plain,
$false,
inference(trivial_inequality_removal,[],[f3612]) ).
fof(f3612,plain,
true != true,
inference(backward_demodulation,[],[f29,f3610]) ).
fof(f3610,plain,
! [X2,X3,X0] : true = is_a_theorem(equivalent(equivalent(equivalent(X2,equivalent(equivalent(X0,X0),X2)),X3),X3)),
inference(forward_demodulation,[],[f3528,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/tmp/tmp.SjYMWfE50Y/Vampire---4.8_30754',ifeq_axiom) ).
fof(f3528,plain,
! [X2,X3,X0] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X2,equivalent(equivalent(X0,X0),X2)),X3),X3)),true),
inference(superposition,[],[f399,f488]) ).
fof(f488,plain,
! [X31,X28,X29,X32,X30] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X28,X30),X31),equivalent(equivalent(X29,X30),equivalent(equivalent(X28,X29),X31))),X32),X32)),
inference(forward_demodulation,[],[f464,f1]) ).
fof(f464,plain,
! [X31,X28,X29,X32,X30] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X28,X30),X31),equivalent(equivalent(X29,X30),equivalent(equivalent(X28,X29),X31))),X32),X32)),true),
inference(superposition,[],[f43,f95]) ).
fof(f95,plain,
! [X10,X8,X6,X9,X7,X5] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),X10),X9),equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X10),X9))),
inference(forward_demodulation,[],[f86,f1]) ).
fof(f86,plain,
! [X10,X8,X6,X9,X7,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),X10),X9),equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X10),X9))),true),
inference(superposition,[],[f50,f4]) ).
fof(f4,axiom,
! [X3,X6,X7,X4,X5] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),X6),equivalent(equivalent(X4,X5),X6)),X7),X7)),
file('/export/starexec/sandbox2/tmp/tmp.SjYMWfE50Y/Vampire---4.8_30754',lg_3) ).
fof(f50,plain,
! [X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X4,X5),X6),X7)),true,is_a_theorem(equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7))),true),
inference(forward_demodulation,[],[f45,f1]) ).
fof(f45,plain,
! [X8,X6,X7,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X4,X5),X6),X7)),true,is_a_theorem(equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7))),true),true),
inference(superposition,[],[f2,f5]) ).
fof(f5,axiom,
! [X3,X6,X7,X4,X5] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X3,X4),X5),X6),equivalent(equivalent(equivalent(X3,X7),X5),equivalent(equivalent(X4,X7),X6)))),
file('/export/starexec/sandbox2/tmp/tmp.SjYMWfE50Y/Vampire---4.8_30754',lg_4) ).
fof(f2,axiom,
! [X3,X4] : true = ifeq(is_a_theorem(equivalent(X3,X4)),true,ifeq(is_a_theorem(X3),true,is_a_theorem(X4),true),true),
file('/export/starexec/sandbox2/tmp/tmp.SjYMWfE50Y/Vampire---4.8_30754',condensed_detachment) ).
fof(f43,plain,
! [X21,X19,X24,X22,X23,X20] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X19,X20),equivalent(X19,X21)),X22),equivalent(equivalent(X20,X21),X22)),X23),X23),X24)),true,is_a_theorem(X24),true),
inference(forward_demodulation,[],[f41,f1]) ).
fof(f41,plain,
! [X21,X19,X24,X22,X23,X20] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X19,X20),equivalent(X19,X21)),X22),equivalent(equivalent(X20,X21),X22)),X23),X23),X24)),true,ifeq(true,true,is_a_theorem(X24),true),true),
inference(superposition,[],[f2,f4]) ).
fof(f399,plain,
! [X50,X51,X54,X52,X53] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X50,X51),equivalent(X50,X52)),X53),X54)),true,is_a_theorem(equivalent(equivalent(equivalent(X51,X52),X53),X54)),true),
inference(forward_demodulation,[],[f379,f1]) ).
fof(f379,plain,
! [X50,X51,X54,X52,X53] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X50,X51),equivalent(X50,X52)),X53),X54)),true,is_a_theorem(equivalent(equivalent(equivalent(X51,X52),X53),X54)),true),true),
inference(superposition,[],[f2,f59]) ).
fof(f59,plain,
! [X3,X6,X7,X4,X5] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),X7),X6),equivalent(equivalent(equivalent(X4,X5),X7),X6))),
inference(forward_demodulation,[],[f53,f1]) ).
fof(f53,plain,
! [X3,X6,X7,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),X7),X6),equivalent(equivalent(equivalent(X4,X5),X7),X6))),true),
inference(superposition,[],[f34,f5]) ).
fof(f34,plain,
! [X10,X11,X9,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12),X13)),true,is_a_theorem(X13),true),
inference(forward_demodulation,[],[f32,f1]) ).
fof(f32,plain,
! [X10,X11,X9,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12),X13)),true,ifeq(true,true,is_a_theorem(X13),true),true),
inference(superposition,[],[f2,f3]) ).
fof(f3,axiom,
! [X3,X6,X4,X5] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),equivalent(X4,X5)),X6),X6)),
file('/export/starexec/sandbox2/tmp/tmp.SjYMWfE50Y/Vampire---4.8_30754',lg_2) ).
fof(f29,plain,
true != is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)),
inference(forward_demodulation,[],[f13,f26]) ).
fof(f26,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)) = sF5,
inference(backward_demodulation,[],[f21,f7]) ).
fof(f7,plain,
equivalent(b,b) = sF0,
introduced(function_definition,[]) ).
fof(f21,plain,
sF5 = is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(sF0,a)),c),c)),
inference(backward_demodulation,[],[f18,f8]) ).
fof(f8,plain,
equivalent(sF0,a) = sF1,
introduced(function_definition,[]) ).
fof(f18,plain,
sF5 = is_a_theorem(equivalent(equivalent(equivalent(a,sF1),c),c)),
inference(backward_demodulation,[],[f15,f9]) ).
fof(f9,plain,
equivalent(a,sF1) = sF2,
introduced(function_definition,[]) ).
fof(f15,plain,
sF5 = is_a_theorem(equivalent(equivalent(sF2,c),c)),
inference(backward_demodulation,[],[f14,f10]) ).
fof(f10,plain,
equivalent(sF2,c) = sF3,
introduced(function_definition,[]) ).
fof(f14,plain,
sF5 = is_a_theorem(equivalent(sF3,c)),
inference(backward_demodulation,[],[f12,f11]) ).
fof(f11,plain,
equivalent(sF3,c) = sF4,
introduced(function_definition,[]) ).
fof(f12,plain,
is_a_theorem(sF4) = sF5,
introduced(function_definition,[]) ).
fof(f13,plain,
true != sF5,
inference(definition_folding,[],[f6,f12,f11,f10,f9,f8,f7]) ).
fof(f6,axiom,
true != is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)),
file('/export/starexec/sandbox2/tmp/tmp.SjYMWfE50Y/Vampire---4.8_30754',prove_lg_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL096-10 : TPTP v8.1.2. Released v7.3.0.
% 0.11/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 04:33:53 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.SjYMWfE50Y/Vampire---4.8_30754
% 0.15/0.36 % (30914)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (30917)lrs+10_16_av=off:drc=off:nwc=1.5:sp=scramble:tgt=ground:stl=125_501 on Vampire---4 for (501ds/0Mi)
% 0.21/0.42 % (30919)lrs+10_64_av=off:bd=off:drc=off:fde=unused:sp=frequency:tgt=full:stl=62_243 on Vampire---4 for (243ds/0Mi)
% 0.21/0.42 % (30918)lrs+10_20_av=off:bd=preordered:drc=off:fde=unused:sims=off:to=lpo:stl=62_369 on Vampire---4 for (369ds/0Mi)
% 0.21/0.42 % (30920)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)
% 0.21/0.42 % (30916)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)
% 0.21/0.42 % (30921)lrs+10_10_av=off:drc=off:sp=frequency:tgt=ground:stl=62_102 on Vampire---4 for (102ds/0Mi)
% 0.21/0.42 % (30915)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)
% 0.21/0.69 % (30915)First to succeed.
% 2.45/0.70 % (30915)Refutation found. Thanks to Tanya!
% 2.45/0.70 % SZS status Unsatisfiable for Vampire---4
% 2.45/0.70 % SZS output start Proof for Vampire---4
% See solution above
% 2.45/0.70 % (30915)------------------------------
% 2.45/0.70 % (30915)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 2.45/0.70 % (30915)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 2.45/0.70 % (30915)Termination reason: Refutation
% 2.45/0.70
% 2.45/0.70 % (30915)Memory used [KB]: 7291
% 2.45/0.70 % (30915)Time elapsed: 0.282 s
% 2.45/0.70 % (30915)------------------------------
% 2.45/0.70 % (30915)------------------------------
% 2.45/0.70 % (30914)Success in time 0.339 s
% 2.45/0.70 % Vampire---4.8 exiting
%------------------------------------------------------------------------------