TSTP Solution File: SET012-4 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET012-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n008.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 18:23:03 EDT 2022
% Result : Unsatisfiable 1.40s 0.54s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 11 unt; 0 def)
% Number of atoms : 39 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 10 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f94,plain,
$false,
inference(subsumption_resolution,[],[f93,f72]) ).
fof(f72,plain,
~ member(f1(as,complement(complement(as))),complement(as)),
inference(subsumption_resolution,[],[f69,f5]) ).
fof(f5,axiom,
! [X2,X0] :
( ~ member(X2,complement(X0))
| ~ member(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f69,plain,
( member(f1(as,complement(complement(as))),as)
| ~ member(f1(as,complement(complement(as))),complement(as)) ),
inference(resolution,[],[f64,f5]) ).
fof(f64,plain,
( member(f1(as,complement(complement(as))),complement(complement(as)))
| member(f1(as,complement(complement(as))),as) ),
inference(forward_demodulation,[],[f63,f12]) ).
fof(f12,plain,
cs = complement(complement(as)),
inference(forward_demodulation,[],[f10,f9]) ).
fof(f9,axiom,
complement(as) = bs,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_of_a_is_b) ).
fof(f10,axiom,
complement(bs) = cs,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_of_b_is_c) ).
fof(f63,plain,
( member(f1(as,complement(complement(as))),complement(complement(as)))
| member(f1(as,cs),as) ),
inference(forward_demodulation,[],[f46,f12]) ).
fof(f46,plain,
( member(f1(as,cs),cs)
| member(f1(as,cs),as) ),
inference(extensionality_resolution,[],[f3,f11]) ).
fof(f11,axiom,
as != cs,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_equals_c) ).
fof(f3,axiom,
! [X0,X1] :
( member(f1(X0,X1),X1)
| member(f1(X0,X1),X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality2) ).
fof(f93,plain,
member(f1(as,complement(complement(as))),complement(as)),
inference(subsumption_resolution,[],[f92,f13]) ).
fof(f13,plain,
as != complement(complement(as)),
inference(superposition,[],[f11,f12]) ).
fof(f92,plain,
( as = complement(complement(as))
| member(f1(as,complement(complement(as))),complement(as)) ),
inference(subsumption_resolution,[],[f85,f74]) ).
fof(f74,plain,
member(f1(as,complement(complement(as))),as),
inference(resolution,[],[f72,f35]) ).
fof(f35,plain,
! [X6] :
( member(f1(as,complement(complement(as))),complement(X6))
| member(f1(as,complement(complement(as))),X6) ),
inference(resolution,[],[f6,f20]) ).
fof(f20,plain,
little_set(f1(as,complement(complement(as)))),
inference(forward_demodulation,[],[f15,f12]) ).
fof(f15,plain,
little_set(f1(as,cs)),
inference(extensionality_resolution,[],[f2,f11]) ).
fof(f2,axiom,
! [X0,X1] :
( little_set(f1(X0,X1))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality1) ).
fof(f6,axiom,
! [X2,X0] :
( ~ little_set(X2)
| member(X2,complement(X0))
| member(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f85,plain,
( ~ member(f1(as,complement(complement(as))),as)
| as = complement(complement(as))
| member(f1(as,complement(complement(as))),complement(as)) ),
inference(resolution,[],[f4,f35]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ member(f1(X0,X1),X1)
| ~ member(f1(X0,X1),X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET012-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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
% 0.13/0.34 % Computer : n008.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 12:55:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.47 % (27830)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.48 % (27838)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)
% 0.19/0.52 % (27840)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)
% 0.19/0.52 % (27822)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 % (27832)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 % (27829)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 % (27821)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 % (27818)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)
% 0.19/0.53 % (27847)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)
% 0.19/0.53 % (27819)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)
% 0.19/0.53 % (27820)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)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (27819)Refutation not found, incomplete strategy% (27819)------------------------------
% 0.19/0.53 % (27819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (27819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (27819)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (27819)Memory used [KB]: 5373
% 0.19/0.53 % (27819)Time elapsed: 0.125 s
% 0.19/0.53 % (27819)Instructions burned: 1 (million)
% 0.19/0.53 % (27819)------------------------------
% 0.19/0.53 % (27819)------------------------------
% 0.19/0.53 % (27840)First to succeed.
% 0.19/0.53 % (27828)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 % (27823)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)
% 0.19/0.53 % (27825)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 % (27826)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 % (27826)Instruction limit reached!
% 0.19/0.53 % (27826)------------------------------
% 0.19/0.53 % (27826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (27826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (27826)Termination reason: Unknown
% 0.19/0.53 % (27826)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (27826)Memory used [KB]: 5373
% 0.19/0.53 % (27826)Time elapsed: 0.135 s
% 0.19/0.53 % (27826)Instructions burned: 2 (million)
% 0.19/0.53 % (27826)------------------------------
% 0.19/0.53 % (27826)------------------------------
% 0.19/0.53 % (27824)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)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 TRYING [3]
% 1.40/0.53 TRYING [4]
% 1.40/0.53 % (27825)Instruction limit reached!
% 1.40/0.53 % (27825)------------------------------
% 1.40/0.53 % (27825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53 % (27825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53 % (27825)Termination reason: Unknown
% 1.40/0.53 % (27825)Termination phase: Saturation
% 1.40/0.53
% 1.40/0.53 % (27825)Memory used [KB]: 5500
% 1.40/0.53 % (27825)Time elapsed: 0.139 s
% 1.40/0.53 % (27825)Instructions burned: 7 (million)
% 1.40/0.53 % (27825)------------------------------
% 1.40/0.53 % (27825)------------------------------
% 1.40/0.53 % (27839)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.40/0.53 % (27827)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)
% 1.40/0.53 TRYING [5]
% 1.40/0.53 % (27845)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)
% 1.40/0.54 % (27842)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.40/0.54 % (27846)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.40/0.54 % (27844)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)
% 1.40/0.54 % (27843)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.40/0.54 % (27835)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.40/0.54 TRYING [1]
% 1.40/0.54 % (27837)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)
% 1.40/0.54 TRYING [2]
% 1.40/0.54 % (27841)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)
% 1.40/0.54 TRYING [3]
% 1.40/0.54 % (27834)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)
% 1.40/0.54 TRYING [4]
% 1.40/0.54 % (27840)Refutation found. Thanks to Tanya!
% 1.40/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.40/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.54 % (27840)------------------------------
% 1.40/0.54 % (27840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54 % (27840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54 % (27840)Termination reason: Refutation
% 1.40/0.54
% 1.40/0.54 % (27840)Memory used [KB]: 895
% 1.40/0.54 % (27840)Time elapsed: 0.089 s
% 1.40/0.54 % (27840)Instructions burned: 3 (million)
% 1.40/0.54 % (27840)------------------------------
% 1.40/0.54 % (27840)------------------------------
% 1.40/0.54 % (27817)Success in time 0.195 s
%------------------------------------------------------------------------------