TSTP Solution File: BOO010-2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : BOO010-2 : TPTP v8.1.0. Released v1.0.0.
% 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 : n020.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 15:50:07 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 19 unt; 0 def)
% Number of atoms : 19 ( 18 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 : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f303,plain,
$false,
inference(subsumption_resolution,[],[f302,f18]) ).
fof(f18,plain,
a != sF1,
inference(definition_folding,[],[f15,f17,f16]) ).
fof(f16,plain,
multiply(a,b) = sF0,
introduced(function_definition,[]) ).
fof(f17,plain,
add(a,sF0) = sF1,
introduced(function_definition,[]) ).
fof(f15,axiom,
a != add(a,multiply(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_plus_ab_is_a) ).
fof(f302,plain,
a = sF1,
inference(backward_demodulation,[],[f17,f288]) ).
fof(f288,plain,
a = add(a,sF0),
inference(superposition,[],[f216,f16]) ).
fof(f216,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = X0,
inference(forward_demodulation,[],[f215,f11]) ).
fof(f11,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_id1) ).
fof(f215,plain,
! [X0,X1] : multiply(X0,multiplicative_identity) = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[],[f181,f106]) ).
fof(f106,plain,
! [X1] : multiplicative_identity = add(multiplicative_identity,X1),
inference(forward_demodulation,[],[f89,f8]) ).
fof(f8,axiom,
! [X0] : multiplicative_identity = add(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse2) ).
fof(f89,plain,
! [X1] : add(multiplicative_identity,X1) = add(inverse(X1),X1),
inference(superposition,[],[f79,f11]) ).
fof(f79,plain,
! [X10,X11] : add(X11,X10) = add(multiply(inverse(X10),X11),X10),
inference(forward_demodulation,[],[f63,f12]) ).
fof(f12,axiom,
! [X0] : multiply(multiplicative_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_id2) ).
fof(f63,plain,
! [X10,X11] : multiply(multiplicative_identity,add(X11,X10)) = add(multiply(inverse(X10),X11),X10),
inference(superposition,[],[f3,f8]) ).
fof(f3,axiom,
! [X2,X0,X1] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
fof(f181,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = multiply(X0,add(multiplicative_identity,X1)),
inference(superposition,[],[f6,f11]) ).
fof(f6,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO010-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 16:08:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (22240)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)
% 0.19/0.50 % (22232)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)
% 0.19/0.50 % (22220)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (22223)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)
% 0.19/0.50 % (22224)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 TRYING [3]
% 0.19/0.51 % (22224)Instruction limit reached!
% 0.19/0.51 % (22224)------------------------------
% 0.19/0.51 % (22224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (22224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (22224)Termination reason: Unknown
% 0.19/0.51 % (22224)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (22224)Memory used [KB]: 5500
% 0.19/0.51 % (22224)Time elapsed: 0.067 s
% 0.19/0.51 % (22224)Instructions burned: 7 (million)
% 0.19/0.51 % (22224)------------------------------
% 0.19/0.51 % (22224)------------------------------
% 0.19/0.51 % (22217)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 % (22225)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (22222)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52 % (22228)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (22221)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (22232)First to succeed.
% 0.19/0.52 % (22231)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)
% 0.19/0.52 % (22233)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (22232)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (22232)------------------------------
% 0.19/0.53 % (22232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (22232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (22232)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (22232)Memory used [KB]: 1279
% 0.19/0.53 % (22232)Time elapsed: 0.077 s
% 0.19/0.53 % (22232)Instructions burned: 20 (million)
% 0.19/0.53 % (22232)------------------------------
% 0.19/0.53 % (22232)------------------------------
% 0.19/0.53 % (22216)Success in time 0.179 s
%------------------------------------------------------------------------------