TSTP Solution File: GRP183-4 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP183-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 01:22:32 EDT 2023
% Result : Unsatisfiable 3.28s 0.83s
% Output : Refutation 3.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 19
% Syntax : Number of formulae : 63 ( 63 unt; 0 def)
% Number of atoms : 63 ( 62 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 : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 51 (; 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27721,plain,
$false,
inference(subsumption_resolution,[],[f27720,f24]) ).
fof(f24,plain,
identity != sF3,
inference(definition_folding,[],[f19,f23,f22,f21,f20]) ).
fof(f20,plain,
least_upper_bound(a,identity) = sF0,
introduced(function_definition,[]) ).
fof(f21,plain,
inverse(a) = sF1,
introduced(function_definition,[]) ).
fof(f22,plain,
least_upper_bound(sF1,identity) = sF2,
introduced(function_definition,[]) ).
fof(f23,plain,
greatest_lower_bound(sF0,sF2) = sF3,
introduced(function_definition,[]) ).
fof(f19,axiom,
identity != greatest_lower_bound(least_upper_bound(a,identity),least_upper_bound(inverse(a),identity)),
file('/export/starexec/sandbox2/tmp/tmp.dzBDMNC7hC/Vampire---4.8_32606',prove_20x) ).
fof(f27720,plain,
identity = sF3,
inference(forward_demodulation,[],[f27688,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.dzBDMNC7hC/Vampire---4.8_32606',left_inverse) ).
fof(f27688,plain,
sF3 = multiply(inverse(sF2),sF2),
inference(superposition,[],[f115,f27656]) ).
fof(f27656,plain,
sF2 = multiply(sF2,sF3),
inference(forward_demodulation,[],[f27655,f98]) ).
fof(f98,plain,
sF2 = least_upper_bound(sF3,sF2),
inference(forward_demodulation,[],[f92,f5]) ).
fof(f5,axiom,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.dzBDMNC7hC/Vampire---4.8_32606',symmetry_of_lub) ).
fof(f92,plain,
sF2 = least_upper_bound(sF2,sF3),
inference(superposition,[],[f41,f23]) ).
fof(f41,plain,
! [X2,X1] : least_upper_bound(X1,greatest_lower_bound(X2,X1)) = X1,
inference(superposition,[],[f10,f4]) ).
fof(f4,axiom,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.dzBDMNC7hC/Vampire---4.8_32606',symmetry_of_glb) ).
fof(f10,axiom,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.dzBDMNC7hC/Vampire---4.8_32606',lub_absorbtion) ).
fof(f27655,plain,
least_upper_bound(sF3,sF2) = multiply(sF2,sF3),
inference(forward_demodulation,[],[f27630,f6091]) ).
fof(f6091,plain,
! [X18] : least_upper_bound(X18,multiply(sF1,X18)) = multiply(sF2,X18),
inference(superposition,[],[f707,f39]) ).
fof(f39,plain,
sF2 = least_upper_bound(identity,sF1),
inference(backward_demodulation,[],[f22,f5]) ).
fof(f707,plain,
! [X0,X1] : multiply(least_upper_bound(identity,X1),X0) = least_upper_bound(X0,multiply(X1,X0)),
inference(superposition,[],[f14,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.dzBDMNC7hC/Vampire---4.8_32606',left_identity) ).
fof(f14,axiom,
! [X2,X0,X1] : multiply(least_upper_bound(X1,X2),X0) = least_upper_bound(multiply(X1,X0),multiply(X2,X0)),
file('/export/starexec/sandbox2/tmp/tmp.dzBDMNC7hC/Vampire---4.8_32606',monotony_lub2) ).
fof(f27630,plain,
least_upper_bound(sF3,sF2) = least_upper_bound(sF3,multiply(sF1,sF3)),
inference(superposition,[],[f3613,f27576]) ).
fof(f27576,plain,
sF2 = least_upper_bound(identity,multiply(sF1,sF3)),
inference(forward_demodulation,[],[f27575,f12697]) ).
fof(f12697,plain,
sF2 = multiply(sF1,sF0),
inference(forward_demodulation,[],[f12696,f83]) ).
fof(f83,plain,
! [X6] : multiply(X6,identity) = X6,
inference(forward_demodulation,[],[f79,f17]) ).
fof(f17,axiom,
! [X0] : inverse(inverse(X0)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.dzBDMNC7hC/Vampire---4.8_32606',p20x_2) ).
fof(f79,plain,
! [X6] : multiply(X6,identity) = inverse(inverse(X6)),
inference(superposition,[],[f17,f68]) ).
fof(f68,plain,
! [X0] : inverse(X0) = inverse(multiply(X0,identity)),
inference(forward_demodulation,[],[f56,f1]) ).
fof(f56,plain,
! [X0] : inverse(multiply(X0,identity)) = multiply(identity,inverse(X0)),
inference(superposition,[],[f18,f16]) ).
fof(f16,axiom,
identity = inverse(identity),
file('/export/starexec/sandbox2/tmp/tmp.dzBDMNC7hC/Vampire---4.8_32606',p20x_1) ).
fof(f18,axiom,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
file('/export/starexec/sandbox2/tmp/tmp.dzBDMNC7hC/Vampire---4.8_32606',p20x_3) ).
fof(f12696,plain,
multiply(sF1,sF0) = multiply(sF2,identity),
inference(forward_demodulation,[],[f12695,f6091]) ).
fof(f12695,plain,
multiply(sF1,sF0) = least_upper_bound(identity,multiply(sF1,identity)),
inference(forward_demodulation,[],[f12518,f21]) ).
fof(f12518,plain,
least_upper_bound(identity,multiply(inverse(a),identity)) = multiply(inverse(a),sF0),
inference(superposition,[],[f473,f38]) ).
fof(f38,plain,
sF0 = least_upper_bound(identity,a),
inference(backward_demodulation,[],[f20,f5]) ).
fof(f473,plain,
! [X2,X3] : least_upper_bound(identity,multiply(inverse(X2),X3)) = multiply(inverse(X2),least_upper_bound(X3,X2)),
inference(forward_demodulation,[],[f445,f5]) ).
fof(f445,plain,
! [X2,X3] : multiply(inverse(X2),least_upper_bound(X3,X2)) = least_upper_bound(multiply(inverse(X2),X3),identity),
inference(superposition,[],[f12,f2]) ).
fof(f12,axiom,
! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/tmp/tmp.dzBDMNC7hC/Vampire---4.8_32606',monotony_lub1) ).
fof(f27575,plain,
multiply(sF1,sF0) = least_upper_bound(identity,multiply(sF1,sF3)),
inference(forward_demodulation,[],[f27559,f21]) ).
fof(f27559,plain,
multiply(inverse(a),sF0) = least_upper_bound(identity,multiply(inverse(a),sF3)),
inference(superposition,[],[f473,f27491]) ).
fof(f27491,plain,
sF0 = least_upper_bound(sF3,a),
inference(forward_demodulation,[],[f27490,f44]) ).
fof(f44,plain,
sF0 = least_upper_bound(sF3,sF0),
inference(forward_demodulation,[],[f43,f5]) ).
fof(f43,plain,
sF0 = least_upper_bound(sF0,sF3),
inference(superposition,[],[f10,f23]) ).
fof(f27490,plain,
least_upper_bound(sF3,sF0) = least_upper_bound(sF3,a),
inference(forward_demodulation,[],[f27489,f83]) ).
fof(f27489,plain,
least_upper_bound(sF3,multiply(sF0,identity)) = least_upper_bound(sF3,a),
inference(forward_demodulation,[],[f27395,f83]) ).
fof(f27395,plain,
least_upper_bound(sF3,multiply(sF0,identity)) = least_upper_bound(sF3,multiply(a,identity)),
inference(superposition,[],[f3613,f6089]) ).
fof(f6089,plain,
! [X16] : least_upper_bound(X16,multiply(a,X16)) = multiply(sF0,X16),
inference(superposition,[],[f707,f38]) ).
fof(f3613,plain,
! [X100] : least_upper_bound(sF3,X100) = least_upper_bound(sF3,least_upper_bound(identity,X100)),
inference(superposition,[],[f244,f1478]) ).
fof(f1478,plain,
identity = greatest_lower_bound(sF3,identity),
inference(forward_demodulation,[],[f1477,f50]) ).
fof(f50,plain,
identity = greatest_lower_bound(identity,sF2),
inference(superposition,[],[f11,f39]) ).
fof(f11,axiom,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.dzBDMNC7hC/Vampire---4.8_32606',glb_absorbtion) ).
fof(f1477,plain,
greatest_lower_bound(identity,sF2) = greatest_lower_bound(sF3,identity),
inference(forward_demodulation,[],[f1465,f4]) ).
fof(f1465,plain,
greatest_lower_bound(identity,sF2) = greatest_lower_bound(identity,sF3),
inference(superposition,[],[f157,f23]) ).
fof(f157,plain,
! [X14] : greatest_lower_bound(identity,greatest_lower_bound(sF0,X14)) = greatest_lower_bound(identity,X14),
inference(superposition,[],[f6,f49]) ).
fof(f49,plain,
identity = greatest_lower_bound(identity,sF0),
inference(superposition,[],[f11,f38]) ).
fof(f6,axiom,
! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2),
file('/export/starexec/sandbox2/tmp/tmp.dzBDMNC7hC/Vampire---4.8_32606',associativity_of_glb) ).
fof(f244,plain,
! [X10,X8,X9] : least_upper_bound(X8,least_upper_bound(greatest_lower_bound(X8,X9),X10)) = least_upper_bound(X8,X10),
inference(superposition,[],[f7,f10]) ).
fof(f7,axiom,
! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2),
file('/export/starexec/sandbox2/tmp/tmp.dzBDMNC7hC/Vampire---4.8_32606',associativity_of_lub) ).
fof(f115,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
inference(forward_demodulation,[],[f104,f1]) ).
fof(f104,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = multiply(identity,X3),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.dzBDMNC7hC/Vampire---4.8_32606',associativity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP183-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n001.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 : Tue Aug 29 01:09:06 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.dzBDMNC7hC/Vampire---4.8_32606
% 0.14/0.35 % (32716)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (32721)ott+10_4_av=off:drc=off:fde=none:nwc=1.2:sims=off:to=lpo:tgt=ground_606 on Vampire---4 for (606ds/0Mi)
% 0.21/0.41 % (32719)ott+10_11_av=off:bd=off:drc=off:fde=none:nwc=1.2:to=lpo:tgt=ground_1200 on Vampire---4 for (1200ds/0Mi)
% 0.21/0.41 % (32718)ott+10_14_av=off:bd=preordered:drc=off:sp=weighted_frequency_1200 on Vampire---4 for (1200ds/0Mi)
% 0.21/0.41 % (32723)lrs+10_50_av=off:bd=off:drc=off:sp=reverse_arity:tgt=ground:stl=62_361 on Vampire---4 for (361ds/0Mi)
% 0.21/0.41 % (32717)lrs+10_6_av=off:drc=off:fde=unused:nwc=2.5:sims=off:sp=reverse_frequency:stl=188_1200 on Vampire---4 for (1200ds/0Mi)
% 0.21/0.41 % (32720)ott+10_32_av=off:drc=off:fde=none:nwc=5.0:sp=reverse_weighted_frequency:tgt=full_1200 on Vampire---4 for (1200ds/0Mi)
% 0.21/0.42 % (32722)dis+10_7_av=off:drc=off:nwc=1.5:sims=off:sp=scramble:tgt=ground_485 on Vampire---4 for (485ds/0Mi)
% 3.28/0.83 % (32722)First to succeed.
% 3.28/0.83 % (32722)Refutation found. Thanks to Tanya!
% 3.28/0.83 % SZS status Unsatisfiable for Vampire---4
% 3.28/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 3.28/0.83 % (32722)------------------------------
% 3.28/0.83 % (32722)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 3.28/0.83 % (32722)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 3.28/0.83 % (32722)Termination reason: Refutation
% 3.28/0.83
% 3.28/0.83 % (32722)Memory used [KB]: 20340
% 3.28/0.83 % (32722)Time elapsed: 0.413 s
% 3.28/0.83 % (32722)------------------------------
% 3.28/0.83 % (32722)------------------------------
% 3.28/0.83 % (32716)Success in time 0.476 s
% 3.28/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------