TSTP Solution File: RNG023-7 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG023-7 : TPTP v8.1.2. Released v1.0.0.
% 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 : n025.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 13:59:39 EDT 2023
% Result : Unsatisfiable 0.09s 0.47s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 22 ( 22 unt; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-3 aty)
% Number of variables : 9 (; 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f385,plain,
$false,
inference(subsumption_resolution,[],[f384,f31]) ).
fof(f31,plain,
additive_identity != sF5,
inference(definition_folding,[],[f24,f30,f29,f28,f27,f26,f25]) ).
fof(f25,plain,
multiply(x,x) = sF0,
introduced(function_definition,[]) ).
fof(f26,plain,
multiply(sF0,y) = sF1,
introduced(function_definition,[]) ).
fof(f27,plain,
multiply(x,y) = sF2,
introduced(function_definition,[]) ).
fof(f28,plain,
multiply(x,sF2) = sF3,
introduced(function_definition,[]) ).
fof(f29,plain,
additive_inverse(sF3) = sF4,
introduced(function_definition,[]) ).
fof(f30,plain,
add(sF1,sF4) = sF5,
introduced(function_definition,[]) ).
fof(f24,plain,
additive_identity != add(multiply(multiply(x,x),y),additive_inverse(multiply(x,multiply(x,y)))),
inference(definition_unfolding,[],[f23,f14]) ).
fof(f14,axiom,
! [X2,X0,X1] : associator(X0,X1,X2) = add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))),
file('/export/starexec/sandbox/tmp/tmp.ybkjYLAKOE/Vampire---4.8_17422',associator) ).
fof(f23,axiom,
additive_identity != associator(x,x,y),
file('/export/starexec/sandbox/tmp/tmp.ybkjYLAKOE/Vampire---4.8_17422',prove_left_alternative) ).
fof(f384,plain,
additive_identity = sF5,
inference(forward_demodulation,[],[f367,f30]) ).
fof(f367,plain,
additive_identity = add(sF1,sF4),
inference(backward_demodulation,[],[f49,f363]) ).
fof(f363,plain,
sF1 = sF3,
inference(forward_demodulation,[],[f362,f26]) ).
fof(f362,plain,
multiply(sF0,y) = sF3,
inference(forward_demodulation,[],[f350,f28]) ).
fof(f350,plain,
multiply(sF0,y) = multiply(x,sF2),
inference(superposition,[],[f296,f27]) ).
fof(f296,plain,
! [X6] : multiply(x,multiply(x,X6)) = multiply(sF0,X6),
inference(superposition,[],[f13,f25]) ).
fof(f13,axiom,
! [X0,X1] : multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1)),
file('/export/starexec/sandbox/tmp/tmp.ybkjYLAKOE/Vampire---4.8_17422',left_alternative) ).
fof(f49,plain,
additive_identity = add(sF3,sF4),
inference(forward_demodulation,[],[f44,f10]) ).
fof(f10,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.ybkjYLAKOE/Vampire---4.8_17422',commutativity_for_addition) ).
fof(f44,plain,
additive_identity = add(sF4,sF3),
inference(superposition,[],[f5,f29]) ).
fof(f5,axiom,
! [X0] : additive_identity = add(additive_inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.ybkjYLAKOE/Vampire---4.8_17422',left_additive_inverse) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.22 % Problem : RNG023-7 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.23 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.09/0.42 % Computer : n025.cluster.edu
% 0.09/0.42 % Model : x86_64 x86_64
% 0.09/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.42 % Memory : 8042.1875MB
% 0.09/0.42 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.42 % CPULimit : 300
% 0.09/0.42 % WCLimit : 300
% 0.09/0.42 % DateTime : Sun Aug 27 03:23:38 EDT 2023
% 0.09/0.42 % CPUTime :
% 0.09/0.42 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.09/0.42 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.ybkjYLAKOE/Vampire---4.8_17422
% 0.09/0.43 % (17548)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.46 % (17549)lrs+10_4_av=off:bd=preordered:drc=off:nwc=1.3:sims=off:sp=weighted_frequency:tgt=ground:stl=125_728 on Vampire---4 for (728ds/0Mi)
% 0.09/0.47 % (17549)First to succeed.
% 0.09/0.47 % (17549)Refutation found. Thanks to Tanya!
% 0.09/0.47 % SZS status Unsatisfiable for Vampire---4
% 0.09/0.47 % SZS output start Proof for Vampire---4
% See solution above
% 0.09/0.47 % (17549)------------------------------
% 0.09/0.47 % (17549)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.09/0.47 % (17549)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.09/0.47 % (17549)Termination reason: Refutation
% 0.09/0.47
% 0.09/0.47 % (17549)Memory used [KB]: 1151
% 0.09/0.47 % (17549)Time elapsed: 0.007 s
% 0.09/0.47 % (17549)------------------------------
% 0.09/0.47 % (17549)------------------------------
% 0.09/0.47 % (17548)Success in time 0.045 s
% 0.09/0.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------