TSTP Solution File: BOO013-4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---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 : n016.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 : Fri Sep 1 13:43:32 EDT 2023
% Result : Unsatisfiable 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 48 ( 48 unt; 0 def)
% Number of atoms : 48 ( 47 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 54 (; 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f815,plain,
$false,
inference(trivial_inequality_removal,[],[f808]) ).
fof(f808,plain,
b != b,
inference(superposition,[],[f11,f794]) ).
fof(f794,plain,
b = inverse(a),
inference(superposition,[],[f770,f472]) ).
fof(f472,plain,
a = inverse(b),
inference(forward_demodulation,[],[f457,f66]) ).
fof(f66,plain,
a = add(a,inverse(b)),
inference(forward_demodulation,[],[f59,f5]) ).
fof(f5,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/tmp/tmp.BCxegg4lSM/Vampire---4.8_17097',additive_id1) ).
fof(f59,plain,
add(a,inverse(b)) = add(a,additive_identity),
inference(superposition,[],[f52,f8]) ).
fof(f8,axiom,
! [X0] : additive_identity = multiply(X0,inverse(X0)),
file('/export/starexec/sandbox2/tmp/tmp.BCxegg4lSM/Vampire---4.8_17097',multiplicative_inverse1) ).
fof(f52,plain,
! [X0] : add(a,multiply(b,X0)) = add(a,X0),
inference(forward_demodulation,[],[f36,f24]) ).
fof(f24,plain,
! [X0] : multiply(multiplicative_identity,X0) = X0,
inference(superposition,[],[f2,f6]) ).
fof(f6,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox2/tmp/tmp.BCxegg4lSM/Vampire---4.8_17097',multiplicative_id1) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.BCxegg4lSM/Vampire---4.8_17097',commutativity_of_multiply) ).
fof(f36,plain,
! [X0] : add(a,multiply(b,X0)) = multiply(multiplicative_identity,add(a,X0)),
inference(superposition,[],[f3,f9]) ).
fof(f9,axiom,
multiplicative_identity = add(a,b),
file('/export/starexec/sandbox2/tmp/tmp.BCxegg4lSM/Vampire---4.8_17097',b_a_multiplicative_identity) ).
fof(f3,axiom,
! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
file('/export/starexec/sandbox2/tmp/tmp.BCxegg4lSM/Vampire---4.8_17097',distributivity1) ).
fof(f457,plain,
inverse(b) = add(a,inverse(b)),
inference(superposition,[],[f243,f127]) ).
fof(f127,plain,
a = multiply(a,inverse(b)),
inference(forward_demodulation,[],[f120,f6]) ).
fof(f120,plain,
multiply(a,inverse(b)) = multiply(a,multiplicative_identity),
inference(superposition,[],[f115,f7]) ).
fof(f7,axiom,
! [X0] : multiplicative_identity = add(X0,inverse(X0)),
file('/export/starexec/sandbox2/tmp/tmp.BCxegg4lSM/Vampire---4.8_17097',additive_inverse1) ).
fof(f115,plain,
! [X16] : multiply(a,add(b,X16)) = multiply(a,X16),
inference(forward_demodulation,[],[f99,f12]) ).
fof(f12,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(superposition,[],[f1,f5]) ).
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.BCxegg4lSM/Vampire---4.8_17097',commutativity_of_add) ).
fof(f99,plain,
! [X16] : multiply(a,add(b,X16)) = add(additive_identity,multiply(a,X16)),
inference(superposition,[],[f4,f10]) ).
fof(f10,axiom,
additive_identity = multiply(a,b),
file('/export/starexec/sandbox2/tmp/tmp.BCxegg4lSM/Vampire---4.8_17097',b_an_additive_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.BCxegg4lSM/Vampire---4.8_17097',distributivity2) ).
fof(f243,plain,
! [X2,X3] : add(multiply(X3,X2),X2) = X2,
inference(superposition,[],[f192,f2]) ).
fof(f192,plain,
! [X0,X1] : add(multiply(X0,X1),X0) = X0,
inference(forward_demodulation,[],[f191,f6]) ).
fof(f191,plain,
! [X0,X1] : multiply(X0,multiplicative_identity) = add(multiply(X0,X1),X0),
inference(backward_demodulation,[],[f100,f190]) ).
fof(f190,plain,
! [X0] : multiplicative_identity = add(X0,multiplicative_identity),
inference(forward_demodulation,[],[f177,f7]) ).
fof(f177,plain,
! [X0] : add(X0,inverse(X0)) = add(X0,multiplicative_identity),
inference(superposition,[],[f53,f6]) ).
fof(f53,plain,
! [X3,X4] : add(X3,multiply(inverse(X3),X4)) = add(X3,X4),
inference(forward_demodulation,[],[f38,f24]) ).
fof(f38,plain,
! [X3,X4] : add(X3,multiply(inverse(X3),X4)) = multiply(multiplicative_identity,add(X3,X4)),
inference(superposition,[],[f3,f7]) ).
fof(f100,plain,
! [X0,X1] : multiply(X0,add(X1,multiplicative_identity)) = add(multiply(X0,X1),X0),
inference(superposition,[],[f4,f6]) ).
fof(f770,plain,
! [X14] : inverse(inverse(X14)) = X14,
inference(backward_demodulation,[],[f616,f769]) ).
fof(f769,plain,
! [X15] : multiply(X15,inverse(inverse(X15))) = X15,
inference(forward_demodulation,[],[f742,f6]) ).
fof(f742,plain,
! [X15] : multiply(X15,multiplicative_identity) = multiply(X15,inverse(inverse(X15))),
inference(superposition,[],[f113,f7]) ).
fof(f113,plain,
! [X2,X3] : multiply(X2,X3) = multiply(X2,add(inverse(X2),X3)),
inference(forward_demodulation,[],[f94,f12]) ).
fof(f94,plain,
! [X2,X3] : multiply(X2,add(inverse(X2),X3)) = add(additive_identity,multiply(X2,X3)),
inference(superposition,[],[f4,f8]) ).
fof(f616,plain,
! [X14] : inverse(inverse(X14)) = multiply(X14,inverse(inverse(X14))),
inference(superposition,[],[f369,f193]) ).
fof(f193,plain,
! [X1] : add(X1,inverse(inverse(X1))) = X1,
inference(forward_demodulation,[],[f178,f5]) ).
fof(f178,plain,
! [X1] : add(X1,additive_identity) = add(X1,inverse(inverse(X1))),
inference(superposition,[],[f53,f8]) ).
fof(f369,plain,
! [X2,X1] : multiply(add(X2,X1),X1) = X1,
inference(superposition,[],[f291,f1]) ).
fof(f291,plain,
! [X2,X1] : multiply(add(X1,X2),X1) = X1,
inference(forward_demodulation,[],[f289,f5]) ).
fof(f289,plain,
! [X2,X1] : add(X1,additive_identity) = multiply(add(X1,X2),X1),
inference(backward_demodulation,[],[f43,f281]) ).
fof(f281,plain,
! [X1] : additive_identity = multiply(X1,additive_identity),
inference(superposition,[],[f257,f2]) ).
fof(f257,plain,
! [X6] : additive_identity = multiply(additive_identity,X6),
inference(superposition,[],[f192,f5]) ).
fof(f43,plain,
! [X2,X1] : add(X1,multiply(X2,additive_identity)) = multiply(add(X1,X2),X1),
inference(superposition,[],[f3,f5]) ).
fof(f11,axiom,
b != inverse(a),
file('/export/starexec/sandbox2/tmp/tmp.BCxegg4lSM/Vampire---4.8_17097',prove_a_inverse_is_b) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO013-4 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n016.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 : Wed Aug 30 16:44:47 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.41 % (17276)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (17278)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.41 % (17279)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.41 % (17281)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.41 % (17280)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.21/0.41 % (17282)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.21/0.41 % (17284)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.21/0.41 % (17283)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.21/0.41 TRYING [1]
% 0.21/0.41 TRYING [2]
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [3]
% 0.21/0.42 TRYING [2]
% 0.21/0.42 TRYING [3]
% 0.21/0.42 TRYING [4]
% 0.21/0.44 TRYING [4]
% 0.21/0.44 % (17283)First to succeed.
% 0.21/0.44 % (17283)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.44 % (17283)------------------------------
% 0.21/0.44 % (17283)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.44 % (17283)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.44 % (17283)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (17283)Memory used [KB]: 1535
% 0.21/0.44 % (17283)Time elapsed: 0.030 s
% 0.21/0.44 % (17283)------------------------------
% 0.21/0.44 % (17283)------------------------------
% 0.21/0.44 % (17276)Success in time 0.087 s
% 0.21/0.45 17280 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.BCxegg4lSM/Vampire---4.8_17097
% 0.21/0.45 % (17280)------------------------------
% 0.21/0.45 % (17280)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.45 % (17280)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.45 % (17280)Termination reason: Unknown
% 0.21/0.45 % (17280)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (17280)Memory used [KB]: 5245
% 0.21/0.45 % (17280)Time elapsed: 0.033 s
% 0.21/0.45 % (17280)------------------------------
% 0.21/0.45 % (17280)------------------------------
% 0.21/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------