TSTP Solution File: SET018-3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n011.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 18:23:09 EDT 2022
% Result : Unsatisfiable 1.49s 0.57s
% Output : Refutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 25 ( 14 unt; 0 def)
% Number of atoms : 50 ( 28 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 51 ( 26 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f295,plain,
$false,
inference(unit_resulting_resolution,[],[f147,f145,f149,f289,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(f289,plain,
non_ordered_pair(a,d) = non_ordered_pair(a,b),
inference(subsumption_resolution,[],[f288,f8]) ).
fof(f8,axiom,
! [X0,X1] : little_set(non_ordered_pair(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',non_ordered_pair4) ).
fof(f288,plain,
( non_ordered_pair(a,d) = non_ordered_pair(a,b)
| ~ little_set(non_ordered_pair(a,b)) ),
inference(equality_resolution,[],[f262]) ).
fof(f262,plain,
! [X1] :
( non_ordered_pair(non_ordered_pair(a,a),X1) != non_ordered_pair(non_ordered_pair(a,a),non_ordered_pair(a,b))
| ~ little_set(X1)
| non_ordered_pair(a,d) = X1 ),
inference(forward_demodulation,[],[f254,f249]) ).
fof(f249,plain,
a = c,
inference(subsumption_resolution,[],[f238,f144]) ).
fof(f144,axiom,
little_set(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_little_set) ).
fof(f238,plain,
( a = c
| ~ little_set(a) ),
inference(equality_resolution,[],[f235]) ).
fof(f235,plain,
! [X0,X1] :
( non_ordered_pair(non_ordered_pair(a,a),non_ordered_pair(a,b)) != non_ordered_pair(non_ordered_pair(X0,X0),non_ordered_pair(X0,X1))
| c = X0
| ~ little_set(X0) ),
inference(subsumption_resolution,[],[f229,f146]) ).
fof(f146,axiom,
little_set(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_little_set) ).
fof(f229,plain,
! [X0,X1] :
( ~ little_set(c)
| ~ little_set(X0)
| c = X0
| non_ordered_pair(non_ordered_pair(a,a),non_ordered_pair(a,b)) != non_ordered_pair(non_ordered_pair(X0,X0),non_ordered_pair(X0,X1)) ),
inference(superposition,[],[f154,f169]) ).
fof(f169,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,f151,f151]) ).
fof(f151,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(f148,axiom,
ordered_pair(a,b) = ordered_pair(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_ordered_pair) ).
fof(f154,plain,
! [X2,X0,X1,X4] :
( non_ordered_pair(non_ordered_pair(X2,X2),non_ordered_pair(X2,X4)) != non_ordered_pair(non_ordered_pair(X0,X0),non_ordered_pair(X0,X1))
| ~ little_set(X0)
| ~ little_set(X2)
| X0 = X2 ),
inference(definition_unfolding,[],[f142,f151,f151]) ).
fof(f142,axiom,
! [X2,X0,X1,X4] :
( ordered_pair(X0,X1) != ordered_pair(X2,X4)
| X0 = X2
| ~ little_set(X0)
| ~ little_set(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',first_components_are_equal) ).
fof(f254,plain,
! [X1] :
( ~ little_set(X1)
| non_ordered_pair(non_ordered_pair(a,a),X1) != non_ordered_pair(non_ordered_pair(a,a),non_ordered_pair(a,b))
| non_ordered_pair(c,d) = X1 ),
inference(backward_demodulation,[],[f210,f249]) ).
fof(f210,plain,
! [X1] :
( non_ordered_pair(non_ordered_pair(c,c),X1) != non_ordered_pair(non_ordered_pair(a,a),non_ordered_pair(a,b))
| non_ordered_pair(c,d) = X1
| ~ little_set(X1) ),
inference(subsumption_resolution,[],[f203,f8]) ).
fof(f203,plain,
! [X1] :
( ~ little_set(X1)
| non_ordered_pair(non_ordered_pair(c,c),X1) != non_ordered_pair(non_ordered_pair(a,a),non_ordered_pair(a,b))
| non_ordered_pair(c,d) = X1
| ~ little_set(non_ordered_pair(c,d)) ),
inference(superposition,[],[f143,f169]) ).
fof(f149,axiom,
b != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_second_components_equal) ).
fof(f145,axiom,
little_set(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_little_set) ).
fof(f147,axiom,
little_set(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_little_set) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET018-3 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % 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 : n011.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 12:51:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.51 % (16969)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (16967)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 % (16962)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 % (16965)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 % (16982)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)
% 0.19/0.53 % (16964)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 % (16959)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)
% 0.19/0.53 % (16984)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (16975)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)
% 0.19/0.53 % (16979)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)
% 0.19/0.54 % (16957)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)
% 0.19/0.54 % (16983)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)
% 0.19/0.54 % (16958)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)
% 0.19/0.54 % (16985)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)
% 0.19/0.54 % (16980)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 % (16963)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 % (16968)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.55 % (16973)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.55 % (16977)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.55 % (16972)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)
% 0.19/0.55 % (16956)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)
% 0.19/0.55 % (16964)Instruction limit reached!
% 0.19/0.55 % (16964)------------------------------
% 0.19/0.55 % (16964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (16964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (16964)Termination reason: Unknown
% 0.19/0.55 % (16964)Termination phase: shuffling
% 0.19/0.55
% 0.19/0.55 % (16964)Memory used [KB]: 1023
% 0.19/0.55 % (16964)Time elapsed: 0.002 s
% 0.19/0.55 % (16964)Instructions burned: 2 (million)
% 0.19/0.55 % (16964)------------------------------
% 0.19/0.55 % (16964)------------------------------
% 0.19/0.55 % (16976)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)
% 1.49/0.55 % (16961)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)
% 1.49/0.55 % (16970)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)
% 1.49/0.55 % (16966)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.49/0.56 % (16974)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.49/0.57 % (16963)Instruction limit reached!
% 1.49/0.57 % (16963)------------------------------
% 1.49/0.57 % (16963)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.57 % (16963)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.57 % (16963)Termination reason: Unknown
% 1.49/0.57 % (16963)Termination phase: Saturation
% 1.49/0.57
% 1.49/0.57 % (16963)Memory used [KB]: 5628
% 1.49/0.57 % (16963)Time elapsed: 0.133 s
% 1.49/0.57 % (16963)Instructions burned: 7 (million)
% 1.49/0.57 % (16963)------------------------------
% 1.49/0.57 % (16963)------------------------------
% 1.49/0.57 % (16957)First to succeed.
% 1.49/0.57 % (16957)Refutation found. Thanks to Tanya!
% 1.49/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.49/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.49/0.57 % (16957)------------------------------
% 1.49/0.57 % (16957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.57 % (16957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.57 % (16957)Termination reason: Refutation
% 1.49/0.57
% 1.49/0.57 % (16957)Memory used [KB]: 5884
% 1.49/0.57 % (16957)Time elapsed: 0.141 s
% 1.49/0.57 % (16957)Instructions burned: 17 (million)
% 1.49/0.57 % (16957)------------------------------
% 1.49/0.57 % (16957)------------------------------
% 1.49/0.57 % (16948)Success in time 0.211 s
%------------------------------------------------------------------------------