TSTP Solution File: SET017-6 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET017-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : 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 18:23:08 EDT 2022
% Result : Unsatisfiable 1.47s 0.56s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 35 ( 19 unt; 3 typ; 0 def)
% Number of atoms : 48 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 14 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 43 ( 43 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_11,type,
sQ1_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_12,type,
sQ2_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_13,type,
sQ3_eqProxy: ( $real * $real ) > $o ).
fof(f496,plain,
$false,
inference(subsumption_resolution,[],[f494,f210]) ).
fof(f210,plain,
y != z,
inference(literal_reordering,[],[f94]) ).
fof(f94,axiom,
y != z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_left_cancellation_3) ).
fof(f494,plain,
y = z,
inference(resolution,[],[f466,f390]) ).
fof(f390,plain,
! [X3] : member(y,unordered_pair(X3,y)),
inference(resolution,[],[f372,f154]) ).
fof(f154,plain,
! [X0,X1] :
( ~ member(X1,universal_class)
| member(X1,unordered_pair(X0,X1)) ),
inference(literal_reordering,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( member(X1,unordered_pair(X0,X1))
| ~ member(X1,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f372,plain,
member(y,universal_class),
inference(resolution,[],[f208,f193]) ).
fof(f193,plain,
member(unordered_pair(unordered_pair(y,y),unordered_pair(y,unordered_pair(z,z))),cross_product(universal_class,universal_class)),
inference(literal_reordering,[],[f122]) ).
fof(f122,plain,
member(unordered_pair(unordered_pair(y,y),unordered_pair(y,unordered_pair(z,z))),cross_product(universal_class,universal_class)),
inference(definition_unfolding,[],[f93,f104]) ).
fof(f104,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair) ).
fof(f93,axiom,
member(ordered_pair(y,z),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_left_cancellation_2) ).
fof(f208,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1))
| member(X2,X0) ),
inference(literal_reordering,[],[f110]) ).
fof(f110,plain,
! [X2,X3,X0,X1] :
( member(X2,X0)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1)) ),
inference(definition_unfolding,[],[f14,f104]) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
| member(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product1) ).
fof(f466,plain,
! [X30] :
( ~ member(X30,unordered_pair(z,y))
| z = X30 ),
inference(duplicate_literal_removal,[],[f464]) ).
fof(f464,plain,
! [X30] :
( ~ member(X30,unordered_pair(z,y))
| z = X30
| z = X30 ),
inference(superposition,[],[f218,f438]) ).
fof(f438,plain,
unordered_pair(z,y) = unordered_pair(z,z),
inference(backward_demodulation,[],[f202,f436]) ).
fof(f436,plain,
x = z,
inference(subsumption_resolution,[],[f433,f210]) ).
fof(f433,plain,
( y = z
| x = z ),
inference(resolution,[],[f410,f218]) ).
fof(f410,plain,
member(z,unordered_pair(x,y)),
inference(superposition,[],[f382,f202]) ).
fof(f382,plain,
! [X3] : member(z,unordered_pair(X3,z)),
inference(resolution,[],[f371,f154]) ).
fof(f371,plain,
member(z,universal_class),
inference(resolution,[],[f181,f193]) ).
fof(f181,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1))
| member(X3,X1) ),
inference(literal_reordering,[],[f141]) ).
fof(f141,plain,
! [X2,X3,X0,X1] :
( member(X3,X1)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1)) ),
inference(definition_unfolding,[],[f15,f104]) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( member(X3,X1)
| ~ member(ordered_pair(X2,X3),cross_product(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f202,plain,
unordered_pair(x,y) = unordered_pair(x,z),
inference(literal_reordering,[],[f92]) ).
fof(f92,axiom,
unordered_pair(x,y) = unordered_pair(x,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_left_cancellation_1) ).
fof(f218,plain,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X0 = X2
| X1 = X2 ),
inference(literal_reordering,[],[f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( X0 = X2
| ~ member(X2,unordered_pair(X0,X1))
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET017-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n020.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 13:16:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (16141)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 % (16159)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 % (16140)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)
% 0.20/0.51 % (16148)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)
% 0.20/0.52 % (16163)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)
% 0.20/0.52 % (16143)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)
% 0.20/0.52 % (16155)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.29/0.53 % (16158)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.29/0.53 % (16160)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)
% 1.29/0.53 % (16152)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)
% 1.29/0.53 % (16138)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)
% 1.29/0.54 % (16139)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)
% 1.29/0.54 % (16153)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)
% 1.29/0.54 % (16165)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.29/0.54 % (16147)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.29/0.54 % (16137)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)
% 1.29/0.54 % (16144)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.29/0.54 % (16164)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)
% 1.47/0.55 % (16149)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.47/0.55 % (16146)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)
% 1.47/0.55 % (16166)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)
% 1.47/0.55 % (16161)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.47/0.55 % (16157)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)
% 1.47/0.55 % (16151)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)
% 1.47/0.55 % (16145)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.47/0.55 % (16144)Instruction limit reached!
% 1.47/0.55 % (16144)------------------------------
% 1.47/0.55 % (16144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55 % (16144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55 % (16144)Termination reason: Unknown
% 1.47/0.55 % (16144)Termination phase: Saturation
% 1.47/0.55
% 1.47/0.55 % (16144)Memory used [KB]: 5628
% 1.47/0.55 % (16144)Time elapsed: 0.101 s
% 1.47/0.55 % (16144)Instructions burned: 8 (million)
% 1.47/0.55 % (16144)------------------------------
% 1.47/0.55 % (16144)------------------------------
% 1.47/0.56 % (16163)First to succeed.
% 1.47/0.56 % (16145)Instruction limit reached!
% 1.47/0.56 % (16145)------------------------------
% 1.47/0.56 % (16145)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56 % (16145)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.56 % (16145)Termination reason: Unknown
% 1.47/0.56 % (16145)Termination phase: Property scanning
% 1.47/0.56
% 1.47/0.56 % (16145)Memory used [KB]: 1023
% 1.47/0.56 % (16145)Time elapsed: 0.004 s
% 1.47/0.56 % (16145)Instructions burned: 4 (million)
% 1.47/0.56 % (16145)------------------------------
% 1.47/0.56 % (16145)------------------------------
% 1.47/0.56 % (16141)Instruction limit reached!
% 1.47/0.56 % (16141)------------------------------
% 1.47/0.56 % (16141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56 % (16163)Refutation found. Thanks to Tanya!
% 1.47/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.47/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.56 % (16163)------------------------------
% 1.47/0.56 % (16163)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56 % (16163)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.56 % (16163)Termination reason: Refutation
% 1.47/0.56
% 1.47/0.56 % (16163)Memory used [KB]: 6268
% 1.47/0.56 % (16163)Time elapsed: 0.016 s
% 1.47/0.56 % (16163)Instructions burned: 21 (million)
% 1.47/0.56 % (16163)------------------------------
% 1.47/0.56 % (16163)------------------------------
% 1.47/0.56 % (16133)Success in time 0.204 s
%------------------------------------------------------------------------------