TSTP Solution File: BOO013-4 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : BOO013-4 : TPTP v8.1.2. Released v1.1.0.
% 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 : n018.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 : Wed Aug 30 18:11:51 EDT 2023
% Result : Unsatisfiable 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 29 ( 29 unt; 0 def)
% Number of atoms : 29 ( 28 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 : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 17 (; 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f173,plain,
$false,
inference(subsumption_resolution,[],[f172,f13]) ).
fof(f13,plain,
b != sF0,
inference(definition_folding,[],[f11,f12]) ).
fof(f12,plain,
inverse(a) = sF0,
introduced(function_definition,[]) ).
fof(f11,axiom,
b != inverse(a),
file('/export/starexec/sandbox2/tmp/tmp.aoAYnXAwmA/Vampire---4.8_31033',prove_a_inverse_is_b) ).
fof(f172,plain,
b = sF0,
inference(forward_demodulation,[],[f171,f5]) ).
fof(f5,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/tmp/tmp.aoAYnXAwmA/Vampire---4.8_31033',additive_id1) ).
fof(f171,plain,
b = add(sF0,additive_identity),
inference(forward_demodulation,[],[f170,f10]) ).
fof(f10,axiom,
additive_identity = multiply(a,b),
file('/export/starexec/sandbox2/tmp/tmp.aoAYnXAwmA/Vampire---4.8_31033',b_an_additive_identity) ).
fof(f170,plain,
b = add(sF0,multiply(a,b)),
inference(forward_demodulation,[],[f169,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.aoAYnXAwmA/Vampire---4.8_31033',commutativity_of_multiply) ).
fof(f169,plain,
b = add(sF0,multiply(b,a)),
inference(forward_demodulation,[],[f161,f1]) ).
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.aoAYnXAwmA/Vampire---4.8_31033',commutativity_of_add) ).
fof(f161,plain,
b = add(multiply(b,a),sF0),
inference(superposition,[],[f57,f97]) ).
fof(f97,plain,
sF0 = multiply(b,sF0),
inference(forward_demodulation,[],[f96,f2]) ).
fof(f96,plain,
sF0 = multiply(sF0,b),
inference(forward_demodulation,[],[f79,f19]) ).
fof(f19,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(superposition,[],[f1,f5]) ).
fof(f79,plain,
sF0 = add(additive_identity,multiply(sF0,b)),
inference(superposition,[],[f63,f18]) ).
fof(f18,plain,
additive_identity = multiply(a,sF0),
inference(superposition,[],[f8,f12]) ).
fof(f8,axiom,
! [X0] : additive_identity = multiply(X0,inverse(X0)),
file('/export/starexec/sandbox2/tmp/tmp.aoAYnXAwmA/Vampire---4.8_31033',multiplicative_inverse1) ).
fof(f63,plain,
! [X0] : add(multiply(a,X0),multiply(X0,b)) = X0,
inference(superposition,[],[f56,f2]) ).
fof(f56,plain,
! [X0] : add(multiply(X0,a),multiply(X0,b)) = X0,
inference(forward_demodulation,[],[f43,f6]) ).
fof(f6,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox2/tmp/tmp.aoAYnXAwmA/Vampire---4.8_31033',multiplicative_id1) ).
fof(f43,plain,
! [X0] : multiply(X0,multiplicative_identity) = add(multiply(X0,a),multiply(X0,b)),
inference(superposition,[],[f4,f9]) ).
fof(f9,axiom,
multiplicative_identity = add(a,b),
file('/export/starexec/sandbox2/tmp/tmp.aoAYnXAwmA/Vampire---4.8_31033',b_a_multiplicative_identity) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/tmp/tmp.aoAYnXAwmA/Vampire---4.8_31033',distributivity2) ).
fof(f57,plain,
! [X1] : add(multiply(X1,a),multiply(X1,sF0)) = X1,
inference(forward_demodulation,[],[f44,f6]) ).
fof(f44,plain,
! [X1] : multiply(X1,multiplicative_identity) = add(multiply(X1,a),multiply(X1,sF0)),
inference(superposition,[],[f4,f17]) ).
fof(f17,plain,
multiplicative_identity = add(a,sF0),
inference(superposition,[],[f7,f12]) ).
fof(f7,axiom,
! [X0] : multiplicative_identity = add(X0,inverse(X0)),
file('/export/starexec/sandbox2/tmp/tmp.aoAYnXAwmA/Vampire---4.8_31033',additive_inverse1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : BOO013-4 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun Aug 27 07:58:16 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.aoAYnXAwmA/Vampire---4.8_31033
% 0.15/0.36 % (31140)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (31143)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)
% 0.22/0.42 % (31146)dis+10_7_av=off:drc=off:nwc=1.5:sims=off:sp=scramble:tgt=ground_485 on Vampire---4 for (485ds/0Mi)
% 0.22/0.42 % (31145)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)
% 0.22/0.42 % (31144)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)
% 0.22/0.42 % (31142)ott+10_14_av=off:bd=preordered:drc=off:sp=weighted_frequency_1200 on Vampire---4 for (1200ds/0Mi)
% 0.22/0.42 % (31147)lrs+10_50_av=off:bd=off:drc=off:sp=reverse_arity:tgt=ground:stl=62_361 on Vampire---4 for (361ds/0Mi)
% 0.22/0.43 % (31143)First to succeed.
% 0.22/0.43 % (31143)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.43 % (31143)------------------------------
% 0.22/0.43 % (31143)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (31143)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (31143)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (31143)Memory used [KB]: 895
% 0.22/0.43 % (31143)Time elapsed: 0.007 s
% 0.22/0.43 % (31143)------------------------------
% 0.22/0.43 % (31143)------------------------------
% 0.22/0.43 % (31140)Success in time 0.065 s
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------