TSTP Solution File: BOO004-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : BOO004-1 : 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 : n012.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 15:49:49 EDT 2022
% Result : Unsatisfiable 1.79s 0.57s
% Output : Refutation 1.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 24 ( 12 unt; 0 def)
% Number of atoms : 47 ( 3 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 49 ( 26 ~; 21 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 65 ( 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1014,plain,
$false,
inference(resolution,[],[f951,f23]) ).
fof(f23,axiom,
~ sum(x,x,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_both_equalities) ).
fof(f951,plain,
! [X6] : sum(X6,X6,X6),
inference(superposition,[],[f1,f906]) ).
fof(f906,plain,
! [X0] : add(X0,X0) = X0,
inference(resolution,[],[f783,f84]) ).
fof(f84,plain,
! [X2,X3] :
( ~ product(X2,multiplicative_identity,X3)
| X2 = X3 ),
inference(resolution,[],[f22,f8]) ).
fof(f8,axiom,
! [X0] : product(X0,multiplicative_identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity2) ).
fof(f22,axiom,
! [X0,X1,X8,X7] :
( ~ product(X0,X1,X8)
| ~ product(X0,X1,X7)
| X7 = X8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
fof(f783,plain,
! [X3] : product(add(X3,X3),multiplicative_identity,X3),
inference(resolution,[],[f174,f681]) ).
fof(f681,plain,
! [X3] : ~ sP7(multiplicative_identity,X3,X3,X3),
inference(resolution,[],[f304,f592]) ).
fof(f592,plain,
! [X1] : sP6(additive_identity,multiplicative_identity,X1,X1),
inference(resolution,[],[f167,f17]) ).
fof(f17,axiom,
! [X0] : sum(inverse(X0),X0,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse1) ).
fof(f167,plain,
! [X10,X11,X9] :
( ~ sum(inverse(X9),X10,X11)
| sP6(additive_identity,X11,X10,X9) ),
inference(resolution,[],[f36,f20]) ).
fof(f20,axiom,
! [X0] : product(X0,inverse(X0),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_inverse2) ).
fof(f36,plain,
! [X2,X0,X1,X4,X5] :
( ~ product(X1,X2,X5)
| ~ sum(X2,X0,X4)
| sP6(X5,X4,X0,X1) ),
inference(cnf_transformation,[],[f36_D]) ).
fof(f36_D,plain,
! [X1,X0,X4,X5] :
( ! [X2] :
( ~ product(X1,X2,X5)
| ~ sum(X2,X0,X4) )
<=> ~ sP6(X5,X4,X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP6])]) ).
fof(f304,plain,
! [X2,X0,X1] :
( ~ sP6(additive_identity,X0,X1,X2)
| ~ sP7(X0,X1,X1,X2) ),
inference(resolution,[],[f39,f5]) ).
fof(f5,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity1) ).
fof(f39,plain,
! [X0,X1,X6,X4,X5] :
( ~ sum(X5,X0,X6)
| ~ sP7(X4,X0,X6,X1)
| ~ sP6(X5,X4,X0,X1) ),
inference(general_splitting,[],[f37,f38_D]) ).
fof(f38,plain,
! [X3,X0,X1,X6,X4] :
( ~ sum(X1,X0,X3)
| product(X3,X4,X6)
| sP7(X4,X0,X6,X1) ),
inference(cnf_transformation,[],[f38_D]) ).
fof(f38_D,plain,
! [X1,X6,X0,X4] :
( ! [X3] :
( ~ sum(X1,X0,X3)
| product(X3,X4,X6) )
<=> ~ sP7(X4,X0,X6,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP7])]) ).
fof(f37,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ sum(X5,X0,X6)
| product(X3,X4,X6)
| ~ sum(X1,X0,X3)
| ~ sP6(X5,X4,X0,X1) ),
inference(general_splitting,[],[f15,f36_D]) ).
fof(f15,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X5,X0,X6)
| product(X3,X4,X6)
| ~ product(X1,X2,X5)
| ~ sum(X2,X0,X4)
| ~ sum(X1,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity7) ).
fof(f174,plain,
! [X14,X15,X12,X13] :
( sP7(X14,X13,X15,X12)
| product(add(X12,X13),X14,X15) ),
inference(resolution,[],[f38,f1]) ).
fof(f1,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_addition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : BOO004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.33 % Computer : n012.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon Aug 29 16:02:36 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.19/0.49 % (13787)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50 % (13796)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.50 % (13804)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.51 % (13791)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)
% 0.19/0.51 % (13788)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (13798)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)
% 0.19/0.51 % (13775)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)
% 0.19/0.51 % (13790)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)
% 0.19/0.51 % (13802)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.51 % (13797)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)
% 0.19/0.51 % (13803)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 % (13776)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (13801)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 TRYING [2]
% 0.19/0.52 % (13779)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 % (13789)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 % (13778)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)
% 0.19/0.52 % (13780)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 % (13777)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52 % (13781)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)
% 0.19/0.52 % (13792)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.52 % (13794)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 % (13799)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53 % (13783)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (13783)Instruction limit reached!
% 0.19/0.53 % (13783)------------------------------
% 0.19/0.53 % (13783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (13783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (13783)Termination reason: Unknown
% 0.19/0.53 % (13783)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (13783)Memory used [KB]: 895
% 0.19/0.53 % (13783)Time elapsed: 0.003 s
% 0.19/0.53 % (13783)Instructions burned: 2 (million)
% 0.19/0.53 % (13783)------------------------------
% 0.19/0.53 % (13783)------------------------------
% 0.19/0.53 % (13793)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [3]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (13795)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (13785)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (13782)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (13784)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (13782)Instruction limit reached!
% 0.19/0.53 % (13782)------------------------------
% 0.19/0.53 % (13782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (13782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (13782)Termination reason: Unknown
% 0.19/0.53 % (13782)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (13782)Memory used [KB]: 5500
% 0.19/0.53 % (13782)Time elapsed: 0.143 s
% 0.19/0.53 % (13782)Instructions burned: 7 (million)
% 0.19/0.53 % (13782)------------------------------
% 0.19/0.53 % (13782)------------------------------
% 0.19/0.53 % (13800)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53 % (13786)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)
% 0.19/0.54 % (13776)Refutation not found, incomplete strategy% (13776)------------------------------
% 0.19/0.54 % (13776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (13776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (13776)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (13776)Memory used [KB]: 5500
% 0.19/0.54 % (13776)Time elapsed: 0.131 s
% 0.19/0.54 % (13776)Instructions burned: 10 (million)
% 0.19/0.54 % (13776)------------------------------
% 0.19/0.54 % (13776)------------------------------
% 1.63/0.56 % (13777)Instruction limit reached!
% 1.63/0.56 % (13777)------------------------------
% 1.63/0.56 % (13777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.56 % (13777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.56 % (13777)Termination reason: Unknown
% 1.63/0.56 % (13777)Termination phase: Saturation
% 1.63/0.56
% 1.63/0.56 % (13777)Memory used [KB]: 1151
% 1.63/0.56 % (13777)Time elapsed: 0.154 s
% 1.63/0.56 % (13777)Instructions burned: 37 (million)
% 1.63/0.56 % (13777)------------------------------
% 1.63/0.56 % (13777)------------------------------
% 1.79/0.57 % (13796)First to succeed.
% 1.79/0.57 % (13796)Refutation found. Thanks to Tanya!
% 1.79/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.79/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.79/0.57 % (13796)------------------------------
% 1.79/0.57 % (13796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.57 % (13796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.57 % (13796)Termination reason: Refutation
% 1.79/0.57
% 1.79/0.57 % (13796)Memory used [KB]: 6012
% 1.79/0.57 % (13796)Time elapsed: 0.183 s
% 1.79/0.57 % (13796)Instructions burned: 31 (million)
% 1.79/0.57 % (13796)------------------------------
% 1.79/0.57 % (13796)------------------------------
% 1.79/0.57 % (13774)Success in time 0.23 s
%------------------------------------------------------------------------------