TSTP Solution File: SET018-3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET018-3 : 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_uns --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 18:18:25 EDT 2022
% Result : Unsatisfiable 1.56s 0.63s
% Output : Refutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 19 ( 16 unt; 0 def)
% Number of atoms : 28 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f335,plain,
$false,
inference(subsumption_resolution,[],[f305,f197]) ).
fof(f197,plain,
! [X0] : non_ordered_pair(X0,b) != non_ordered_pair(X0,d),
inference(unit_resulting_resolution,[],[f145,f147,f149,f143]) ).
fof(f143,axiom,
! [X3,X0,X1] :
( non_ordered_pair(X3,X0) != non_ordered_pair(X3,X1)
| ~ little_set(X1)
| ~ little_set(X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_cancellation) ).
fof(f149,axiom,
b != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_second_components_equal) ).
fof(f147,axiom,
little_set(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_little_set) ).
fof(f145,axiom,
little_set(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_little_set) ).
fof(f305,plain,
non_ordered_pair(a,d) = non_ordered_pair(a,b),
inference(unit_resulting_resolution,[],[f8,f8,f254,f143]) ).
fof(f254,plain,
non_ordered_pair(non_ordered_pair(a,a),non_ordered_pair(a,d)) = non_ordered_pair(non_ordered_pair(a,a),non_ordered_pair(a,b)),
inference(backward_demodulation,[],[f158,f203]) ).
fof(f203,plain,
a = c,
inference(unit_resulting_resolution,[],[f146,f144,f158,f174]) ).
fof(f174,plain,
! [X2,X0,X1,X4] :
( non_ordered_pair(non_ordered_pair(X0,X0),non_ordered_pair(X0,X1)) != non_ordered_pair(non_ordered_pair(X2,X2),non_ordered_pair(X2,X4))
| ~ little_set(X2)
| X0 = X2
| ~ little_set(X0) ),
inference(definition_unfolding,[],[f142,f150,f150]) ).
fof(f150,plain,
! [X0,X1] : ordered_pair(X0,X1) = non_ordered_pair(non_ordered_pair(X0,X0),non_ordered_pair(X0,X1)),
inference(definition_unfolding,[],[f10,f9]) ).
fof(f9,axiom,
! [X0] : singleton_set(X0) = non_ordered_pair(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f10,axiom,
! [X0,X1] : ordered_pair(X0,X1) = non_ordered_pair(singleton_set(X0),non_ordered_pair(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair) ).
fof(f142,axiom,
! [X2,X0,X1,X4] :
( ~ little_set(X0)
| X0 = X2
| ~ little_set(X2)
| ordered_pair(X0,X1) != ordered_pair(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',first_components_are_equal) ).
fof(f144,axiom,
little_set(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_little_set) ).
fof(f146,axiom,
little_set(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_little_set) ).
fof(f158,plain,
non_ordered_pair(non_ordered_pair(c,c),non_ordered_pair(c,d)) = non_ordered_pair(non_ordered_pair(a,a),non_ordered_pair(a,b)),
inference(definition_unfolding,[],[f148,f150,f150]) ).
fof(f148,axiom,
ordered_pair(a,b) = ordered_pair(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_ordered_pair) ).
fof(f8,axiom,
! [X0,X1] : little_set(non_ordered_pair(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',non_ordered_pair4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET018-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 12:54:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.32/0.56 % (15694)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.56 % (15694)Refutation not found, incomplete strategy% (15694)------------------------------
% 1.32/0.56 % (15694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.56 % (15710)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.32/0.56 % (15702)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.32/0.56 % (15694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.56 % (15694)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.56
% 1.32/0.56 % (15694)Memory used [KB]: 5884
% 1.32/0.56 % (15694)Time elapsed: 0.120 s
% 1.32/0.56 % (15694)Instructions burned: 3 (million)
% 1.32/0.56 % (15694)------------------------------
% 1.32/0.56 % (15694)------------------------------
% 1.32/0.57 % (15693)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.56/0.57 % (15702)Instruction limit reached!
% 1.56/0.57 % (15702)------------------------------
% 1.56/0.57 % (15702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.57 % (15702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.57 % (15702)Termination reason: Unknown
% 1.56/0.57 % (15702)Termination phase: Finite model building preprocessing
% 1.56/0.57
% 1.56/0.57 % (15702)Memory used [KB]: 1535
% 1.56/0.57 % (15702)Time elapsed: 0.008 s
% 1.56/0.57 % (15702)Instructions burned: 6 (million)
% 1.56/0.57 % (15702)------------------------------
% 1.56/0.57 % (15702)------------------------------
% 1.56/0.57 % (15709)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.56/0.58 % (15701)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.56/0.59 % (15691)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.56/0.60 % (15687)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.56/0.60 % (15707)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.56/0.60 % (15690)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.56/0.60 % (15715)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.56/0.60 % (15713)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.56/0.61 % (15692)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.56/0.61 % (15714)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.56/0.61 % (15698)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.56/0.61 % (15710)Instruction limit reached!
% 1.56/0.61 % (15710)------------------------------
% 1.56/0.61 % (15710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.61 % (15710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.61 % (15710)Termination reason: Unknown
% 1.56/0.61 % (15710)Termination phase: Saturation
% 1.56/0.61
% 1.56/0.61 % (15710)Memory used [KB]: 6908
% 1.56/0.61 % (15710)Time elapsed: 0.178 s
% 1.56/0.61 % (15710)Instructions burned: 37 (million)
% 1.56/0.61 % (15710)------------------------------
% 1.56/0.61 % (15710)------------------------------
% 1.56/0.61 % (15699)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.56/0.61 % (15712)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.56/0.61 % (15716)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.56/0.61 % (15691)Refutation not found, incomplete strategy% (15691)------------------------------
% 1.56/0.61 % (15691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.61 % (15691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.61 % (15691)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.61
% 1.56/0.61 % (15691)Memory used [KB]: 6012
% 1.56/0.62 % (15691)Time elapsed: 0.184 s
% 1.56/0.62 % (15691)Instructions burned: 3 (million)
% 1.56/0.62 % (15691)------------------------------
% 1.56/0.62 % (15691)------------------------------
% 1.56/0.62 % (15689)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.56/0.62 % (15689)Instruction limit reached!
% 1.56/0.62 % (15689)------------------------------
% 1.56/0.62 % (15689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.62 % (15689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.62 % (15689)Termination reason: Unknown
% 1.56/0.62 % (15689)Termination phase: Equality proxy
% 1.56/0.62
% 1.56/0.62 % (15689)Memory used [KB]: 1407
% 1.56/0.62 % (15689)Time elapsed: 0.004 s
% 1.56/0.62 % (15689)Instructions burned: 5 (million)
% 1.56/0.62 % (15689)------------------------------
% 1.56/0.62 % (15689)------------------------------
% 1.56/0.62 % (15707)Instruction limit reached!
% 1.56/0.62 % (15707)------------------------------
% 1.56/0.62 % (15707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.62 % (15707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.62 % (15707)Termination reason: Unknown
% 1.56/0.62 % (15707)Termination phase: Saturation
% 1.56/0.62
% 1.56/0.62 % (15707)Memory used [KB]: 1407
% 1.56/0.62 % (15707)Time elapsed: 0.006 s
% 1.56/0.62 % (15707)Instructions burned: 6 (million)
% 1.56/0.62 % (15707)------------------------------
% 1.56/0.62 % (15707)------------------------------
% 1.56/0.62 % (15704)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.56/0.62 % (15705)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.56/0.62 % (15695)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.56/0.62 % (15706)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.56/0.62 % (15695)Instruction limit reached!
% 1.56/0.62 % (15695)------------------------------
% 1.56/0.62 % (15695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.62 % (15695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.62 % (15695)Termination reason: Unknown
% 1.56/0.62 % (15695)Termination phase: Property scanning
% 1.56/0.62
% 1.56/0.62 % (15695)Memory used [KB]: 1407
% 1.56/0.62 % (15695)Time elapsed: 0.004 s
% 1.56/0.62 % (15695)Instructions burned: 4 (million)
% 1.56/0.62 % (15695)------------------------------
% 1.56/0.62 % (15695)------------------------------
% 1.56/0.62 % (15708)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 1.56/0.62 % (15708)Refutation not found, incomplete strategy% (15708)------------------------------
% 1.56/0.62 % (15708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.62 % (15708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.62 % (15708)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.62
% 1.56/0.62 % (15708)Memory used [KB]: 6012
% 1.56/0.62 % (15708)Time elapsed: 0.191 s
% 1.56/0.62 % (15708)Instructions burned: 2 (million)
% 1.56/0.62 % (15708)------------------------------
% 1.56/0.62 % (15708)------------------------------
% 1.56/0.62 % (15690)Refutation not found, incomplete strategy% (15690)------------------------------
% 1.56/0.62 % (15690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.62 % (15690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.62 % (15690)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.62
% 1.56/0.62 % (15690)Memory used [KB]: 5884
% 1.56/0.62 % (15690)Time elapsed: 0.191 s
% 1.56/0.62 % (15690)Instructions burned: 2 (million)
% 1.56/0.62 % (15690)------------------------------
% 1.56/0.62 % (15690)------------------------------
% 1.56/0.62 % (15696)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.56/0.62 % (15709)First to succeed.
% 1.56/0.62 % (15699)Instruction limit reached!
% 1.56/0.62 % (15699)------------------------------
% 1.56/0.62 % (15699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.62 % (15699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.62 % (15699)Termination reason: Unknown
% 1.56/0.62 % (15699)Termination phase: Saturation
% 1.56/0.62
% 1.56/0.62 % (15699)Memory used [KB]: 6012
% 1.56/0.62 % (15699)Time elapsed: 0.005 s
% 1.56/0.62 % (15699)Instructions burned: 5 (million)
% 1.56/0.62 % (15699)------------------------------
% 1.56/0.62 % (15699)------------------------------
% 1.56/0.62 % (15714)Refutation not found, incomplete strategy% (15714)------------------------------
% 1.56/0.62 % (15714)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.62 % (15714)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.62 % (15714)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.62
% 1.56/0.62 % (15714)Memory used [KB]: 1407
% 1.56/0.63 % (15714)Time elapsed: 0.194 s
% 1.56/0.63 % (15714)Instructions burned: 2 (million)
% 1.56/0.63 % (15714)------------------------------
% 1.56/0.63 % (15714)------------------------------
% 1.56/0.63 % (15709)Refutation found. Thanks to Tanya!
% 1.56/0.63 % SZS status Unsatisfiable for theBenchmark
% 1.56/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.63 % (15709)------------------------------
% 1.56/0.63 % (15709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.63 % (15709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.63 % (15709)Termination reason: Refutation
% 1.56/0.63
% 1.56/0.63 % (15709)Memory used [KB]: 6396
% 1.56/0.63 % (15709)Time elapsed: 0.182 s
% 1.56/0.63 % (15709)Instructions burned: 20 (million)
% 1.56/0.63 % (15709)------------------------------
% 1.56/0.63 % (15709)------------------------------
% 1.56/0.63 % (15686)Success in time 0.263 s
%------------------------------------------------------------------------------