TSTP Solution File: BOO009-4 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : BOO009-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n004.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 31 15:50:06 EDT 2022
% Result : Unsatisfiable 1.51s 0.57s
% Output : Refutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 25 unt; 0 def)
% Number of atoms : 25 ( 24 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 : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f181,plain,
$false,
inference(subsumption_resolution,[],[f180,f12]) ).
fof(f12,plain,
a != sF1,
inference(definition_folding,[],[f9,f11,f10]) ).
fof(f10,plain,
add(a,b) = sF0,
introduced(function_definition,[]) ).
fof(f11,plain,
sF1 = multiply(a,sF0),
introduced(function_definition,[]) ).
fof(f9,axiom,
a != multiply(a,add(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_operation) ).
fof(f180,plain,
a = sF1,
inference(backward_demodulation,[],[f11,f171]) ).
fof(f171,plain,
a = multiply(a,sF0),
inference(superposition,[],[f145,f10]) ).
fof(f145,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = X0,
inference(forward_demodulation,[],[f144,f5]) ).
fof(f5,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_id1) ).
fof(f144,plain,
! [X0,X1] : add(X0,additive_identity) = multiply(X0,add(X0,X1)),
inference(backward_demodulation,[],[f27,f142]) ).
fof(f142,plain,
! [X10] : additive_identity = multiply(additive_identity,X10),
inference(superposition,[],[f5,f104]) ).
fof(f104,plain,
! [X0,X1] : add(multiply(X0,X1),X0) = X0,
inference(forward_demodulation,[],[f103,f6]) ).
fof(f6,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_id1) ).
fof(f103,plain,
! [X0,X1] : multiply(X0,multiplicative_identity) = add(multiply(X0,X1),X0),
inference(backward_demodulation,[],[f64,f102]) ).
fof(f102,plain,
! [X0] : multiplicative_identity = add(X0,multiplicative_identity),
inference(forward_demodulation,[],[f85,f7]) ).
fof(f7,axiom,
! [X0] : multiplicative_identity = add(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse1) ).
fof(f85,plain,
! [X0] : add(X0,inverse(X0)) = add(X0,multiplicative_identity),
inference(superposition,[],[f43,f6]) ).
fof(f43,plain,
! [X2,X3] : add(X2,multiply(inverse(X2),X3)) = add(X2,X3),
inference(forward_demodulation,[],[f28,f20]) ).
fof(f20,plain,
! [X0] : multiply(multiplicative_identity,X0) = X0,
inference(superposition,[],[f6,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_multiply) ).
fof(f28,plain,
! [X2,X3] : add(X2,multiply(inverse(X2),X3)) = multiply(multiplicative_identity,add(X2,X3)),
inference(superposition,[],[f3,f7]) ).
fof(f3,axiom,
! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
fof(f64,plain,
! [X0,X1] : add(multiply(X0,X1),X0) = multiply(X0,add(X1,multiplicative_identity)),
inference(superposition,[],[f4,f6]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity2) ).
fof(f27,plain,
! [X0,X1] : add(X0,multiply(additive_identity,X1)) = multiply(X0,add(X0,X1)),
inference(superposition,[],[f3,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : BOO009-4 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n004.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 : Mon Aug 29 16:01:50 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.26/0.54 % (23928)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.26/0.54 % (23929)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.26/0.54 % (23936)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.26/0.55 % (23921)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.51/0.56 % (23920)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.51/0.56 TRYING [1]
% 1.51/0.56 TRYING [2]
% 1.51/0.56 TRYING [3]
% 1.51/0.56 % (23937)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.51/0.56 % (23921)Instruction limit reached!
% 1.51/0.56 % (23921)------------------------------
% 1.51/0.56 % (23921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.56 % (23929)First to succeed.
% 1.51/0.56 % (23921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.56 % (23921)Termination reason: Unknown
% 1.51/0.56 % (23921)Termination phase: Saturation
% 1.51/0.56
% 1.51/0.56 % (23921)Memory used [KB]: 5500
% 1.51/0.56 % (23921)Time elapsed: 0.137 s
% 1.51/0.56 % (23921)Instructions burned: 7 (million)
% 1.51/0.56 % (23921)------------------------------
% 1.51/0.56 % (23921)------------------------------
% 1.51/0.57 % (23929)Refutation found. Thanks to Tanya!
% 1.51/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.51/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.57 % (23929)------------------------------
% 1.51/0.57 % (23929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.57 % (23929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.57 % (23929)Termination reason: Refutation
% 1.51/0.57
% 1.51/0.57 % (23929)Memory used [KB]: 1023
% 1.51/0.57 % (23929)Time elapsed: 0.132 s
% 1.51/0.57 % (23929)Instructions burned: 10 (million)
% 1.51/0.57 % (23929)------------------------------
% 1.51/0.57 % (23929)------------------------------
% 1.51/0.57 % (23913)Success in time 0.204 s
%------------------------------------------------------------------------------