TSTP Solution File: NUM004-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM004-1 : 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 : n023.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 18:03:14 EDT 2022
% Result : Unsatisfiable 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 11 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 16 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f159,plain,
$false,
inference(subsumption_resolution,[],[f158,f137]) ).
fof(f137,plain,
! [X0,X1] : equalish(X0,add(subtract(X0,X1),X1)),
inference(resolution,[],[f21,f6]) ).
fof(f6,axiom,
! [X0,X1] : equalish(X0,subtract(add(X0,X1),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition_inverts_subtraction2) ).
fof(f21,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X0,subtract(add(X1,X3),X2))
| equalish(X0,add(subtract(X1,X2),X3)) ),
inference(resolution,[],[f8,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ equalish(X1,X2)
| equalish(X0,X2)
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f8,axiom,
! [X2,X0,X1] : equalish(subtract(add(X0,X1),X2),add(subtract(X0,X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity2) ).
fof(f158,plain,
~ equalish(b,add(subtract(b,c),c)),
inference(resolution,[],[f152,f37]) ).
fof(f37,plain,
! [X2,X0,X1] :
( equalish(add(X2,X0),add(X2,X1))
| ~ equalish(X0,X1) ),
inference(resolution,[],[f10,f1]) ).
fof(f1,axiom,
! [X0] : equalish(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f10,axiom,
! [X2,X3,X0,X1] :
( ~ equalish(X2,add(X3,X0))
| ~ equalish(X0,X1)
| equalish(X2,add(X3,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_substitution2) ).
fof(f152,plain,
~ equalish(add(a,b),add(a,add(subtract(b,c),c))),
inference(resolution,[],[f124,f18]) ).
fof(f18,plain,
! [X2,X3,X0,X1] :
( equalish(X0,add(add(X1,X2),X3))
| ~ equalish(X0,add(X1,add(X2,X3))) ),
inference(resolution,[],[f4,f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : equalish(add(X0,add(X1,X2)),add(add(X0,X1),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition) ).
fof(f124,plain,
~ equalish(add(a,b),add(add(a,subtract(b,c)),c)),
inference(resolution,[],[f91,f13]) ).
fof(f13,axiom,
~ equalish(subtract(add(a,b),c),add(a,subtract(b,c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).
fof(f91,plain,
! [X2,X0,X1] :
( equalish(subtract(X0,X2),X1)
| ~ equalish(X0,add(X1,X2)) ),
inference(resolution,[],[f57,f17]) ).
fof(f17,plain,
! [X10,X8,X9] :
( ~ equalish(X8,subtract(add(X9,X10),X10))
| equalish(X8,X9) ),
inference(resolution,[],[f2,f5]) ).
fof(f5,axiom,
! [X0,X1] : equalish(subtract(add(X0,X1),X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition_inverts_subtraction1) ).
fof(f57,plain,
! [X8,X9,X7] :
( equalish(subtract(X7,X9),subtract(X8,X9))
| ~ equalish(X7,X8) ),
inference(resolution,[],[f11,f1]) ).
fof(f11,axiom,
! [X2,X3,X0,X1] :
( ~ equalish(X2,subtract(X0,X3))
| ~ equalish(X0,X1)
| equalish(X2,subtract(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subtract_substitution1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 06:07:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (20385)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)
% 0.20/0.50 % (20411)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)
% 0.20/0.50 % (20393)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)
% 0.20/0.50 % (20388)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)
% 0.20/0.51 % (20386)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (20394)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 % (20392)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (20405)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)
% 0.20/0.51 % (20381)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)
% 0.20/0.52 % (20403)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)
% 0.20/0.52 % (20406)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)
% 0.20/0.52 % (20407)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52 % (20397)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)
% 0.20/0.52 TRYING [1]
% 0.20/0.53 % (20390)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (20396)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)
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (20383)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)
% 0.20/0.53 % (20384)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)
% 0.20/0.53 TRYING [3]
% 0.20/0.53 % (20400)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (20389)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (20387)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)
% 0.20/0.53 % (20408)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 % (20410)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)
% 0.20/0.53 TRYING [3]
% 0.20/0.54 % (20395)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (20384)First to succeed.
% 0.20/0.54 % (20390)Instruction limit reached!
% 0.20/0.54 % (20390)------------------------------
% 0.20/0.54 % (20390)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (20398)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)
% 0.20/0.54 % (20413)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)
% 0.20/0.54 % (20390)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (20390)Termination reason: Unknown
% 0.20/0.54 % (20390)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (20390)Memory used [KB]: 5373
% 0.20/0.54 % (20390)Time elapsed: 0.131 s
% 0.20/0.54 % (20390)Instructions burned: 3 (million)
% 0.20/0.54 % (20390)------------------------------
% 0.20/0.54 % (20390)------------------------------
% 0.20/0.55 % (20384)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (20384)------------------------------
% 0.20/0.55 % (20384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (20384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (20384)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (20384)Memory used [KB]: 1023
% 0.20/0.55 % (20384)Time elapsed: 0.131 s
% 0.20/0.55 % (20384)Instructions burned: 11 (million)
% 0.20/0.55 % (20384)------------------------------
% 0.20/0.55 % (20384)------------------------------
% 0.20/0.55 % (20374)Success in time 0.189 s
%------------------------------------------------------------------------------