TSTP Solution File: SET844-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET844-1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n009.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 18:25:51 EDT 2022
% Result : Unsatisfiable 2.04s 0.63s
% Output : Refutation 2.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 30 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 27 ( 12 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1822,plain,
$false,
inference(subsumption_resolution,[],[f1817,f310]) ).
fof(f310,axiom,
! [X2,X13] : c_lessequals(X13,X13,tc_set(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f1817,plain,
~ c_lessequals(c_Zorn_OTFin(v_S,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),
inference(resolution,[],[f1808,f1367]) ).
fof(f1367,axiom,
~ c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1808,plain,
! [X0] :
( c_lessequals(c_Union(X0,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| ~ c_lessequals(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f1807,f1460]) ).
fof(f1460,plain,
! [X2,X40,X54] :
( ~ c_in(c_Union(X54,tc_set(X2)),c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(X54,c_Zorn_OTFin(X40,X2),tc_set(tc_set(tc_set(X2)))) ),
inference(consistent_polarity_flipping,[],[f1363]) ).
fof(f1363,axiom,
! [X40,X2,X54] :
( ~ c_lessequals(X54,c_Zorn_OTFin(X40,X2),tc_set(tc_set(tc_set(X2))))
| c_in(c_Union(X54,tc_set(X2)),c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).
fof(f1807,plain,
! [X0] :
( c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(subsumption_resolution,[],[f1806,f1745]) ).
fof(f1745,plain,
~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(consistent_polarity_flipping,[],[f1365]) ).
fof(f1365,axiom,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1806,plain,
! [X0] :
( c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(trivial_inequality_removal,[],[f1805]) ).
fof(f1805,plain,
! [X0] :
( c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| v_m != v_m
| c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(superposition,[],[f1521,f1366]) ).
fof(f1366,axiom,
v_m = c_Zorn_Osucc(v_S,v_m,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1521,plain,
! [X40,X2,X18,X12] :
( c_Zorn_Osucc(X40,X12,X2) != X12
| c_in(X18,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| c_lessequals(X18,X12,tc_set(tc_set(X2)))
| c_in(X12,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2))) ),
inference(consistent_polarity_flipping,[],[f1364]) ).
fof(f1364,axiom,
! [X40,X2,X18,X12] :
( ~ c_in(X18,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| c_Zorn_Osucc(X40,X12,X2) != X12
| ~ c_in(X12,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| c_lessequals(X18,X12,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Oeq__succ__upper_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET844-1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.32 % Computer : n009.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Aug 30 14:21:05 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.18/0.48 % (4092)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.49 % (4076)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.53 % (4086)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)
% 0.18/0.53 % (4078)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)
% 1.37/0.54 % (4091)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)
% 1.37/0.54 % (4068)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.37/0.54 % (4070)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)
% 1.37/0.54 % (4065)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)
% 1.37/0.54 % (4084)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)
% 1.37/0.54 % (4072)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.37/0.54 % (4072)Instruction limit reached!
% 1.37/0.54 % (4072)------------------------------
% 1.37/0.54 % (4072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.54 % (4072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.54 % (4072)Termination reason: Unknown
% 1.37/0.54 % (4072)Termination phase: shuffling
% 1.37/0.54
% 1.37/0.54 % (4072)Memory used [KB]: 1791
% 1.37/0.54 % (4072)Time elapsed: 0.002 s
% 1.37/0.54 % (4072)Instructions burned: 2 (million)
% 1.37/0.54 % (4072)------------------------------
% 1.37/0.54 % (4072)------------------------------
% 1.37/0.55 % (4073)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)
% 1.37/0.55 % (4066)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)
% 1.37/0.55 % (4069)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)
% 1.37/0.55 % (4083)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)
% 1.52/0.55 % (4071)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.52/0.55 % (4085)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.52/0.56 % (4067)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)
% 1.52/0.56 % (4071)Instruction limit reached!
% 1.52/0.56 % (4071)------------------------------
% 1.52/0.56 % (4071)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.56 % (4071)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.56 % (4071)Termination reason: Unknown
% 1.52/0.56 % (4071)Termination phase: Saturation
% 1.52/0.56
% 1.52/0.56 % (4071)Memory used [KB]: 6652
% 1.52/0.56 % (4071)Time elapsed: 0.006 s
% 1.52/0.56 % (4071)Instructions burned: 8 (million)
% 1.52/0.56 % (4071)------------------------------
% 1.52/0.56 % (4071)------------------------------
% 1.52/0.56 % (4074)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.52/0.56 % (4064)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)
% 1.52/0.56 % (4088)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.52/0.56 % (4075)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)
% 1.52/0.56 % (4077)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.52/0.56 % (4080)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)
% 1.52/0.56 % (4089)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.52/0.56 % (4093)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)
% 1.52/0.57 % (4081)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.52/0.57 % (4079)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)
% 1.52/0.58 % (4090)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)
% 1.52/0.58 % (4087)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)
% 1.52/0.59 % (4082)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.52/0.61 % (4083)First to succeed.
% 1.52/0.61 % (4066)Instruction limit reached!
% 1.52/0.61 % (4066)------------------------------
% 1.52/0.61 % (4066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.62 % (4076)Instruction limit reached!
% 1.52/0.62 % (4076)------------------------------
% 1.52/0.62 % (4076)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.62 % (4076)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.62 % (4076)Termination reason: Unknown
% 1.52/0.62 % (4076)Termination phase: Saturation
% 1.52/0.62
% 1.52/0.62 % (4076)Memory used [KB]: 8059
% 1.52/0.62 % (4066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.62 % (4066)Termination reason: Unknown
% 1.52/0.62 % (4066)Termination phase: Saturation
% 1.52/0.62
% 1.52/0.62 % (4066)Memory used [KB]: 2558
% 1.52/0.62 % (4066)Time elapsed: 0.186 s
% 1.52/0.62 % (4066)Instructions burned: 37 (million)
% 1.52/0.62 % (4066)------------------------------
% 1.52/0.62 % (4066)------------------------------
% 1.52/0.62 % (4076)Time elapsed: 0.196 s
% 1.52/0.62 % (4076)Instructions burned: 101 (million)
% 1.52/0.62 % (4076)------------------------------
% 1.52/0.62 % (4076)------------------------------
% 2.04/0.63 % (4068)Instruction limit reached!
% 2.04/0.63 % (4068)------------------------------
% 2.04/0.63 % (4068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.63 % (4068)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.63 % (4068)Termination reason: Unknown
% 2.04/0.63 % (4068)Termination phase: Saturation
% 2.04/0.63
% 2.04/0.63 % (4068)Memory used [KB]: 7164
% 2.04/0.63 % (4068)Time elapsed: 0.217 s
% 2.04/0.63 % (4068)Instructions burned: 51 (million)
% 2.04/0.63 % (4068)------------------------------
% 2.04/0.63 % (4068)------------------------------
% 2.04/0.63 % (4070)Instruction limit reached!
% 2.04/0.63 % (4070)------------------------------
% 2.04/0.63 % (4070)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.63 % (4070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.63 % (4070)Termination reason: Unknown
% 2.04/0.63 % (4070)Termination phase: Finite model building preprocessing
% 2.04/0.63
% 2.04/0.63 % (4070)Memory used [KB]: 2942
% 2.04/0.63 % (4070)Time elapsed: 0.027 s
% 2.04/0.63 % (4070)Instructions burned: 52 (million)
% 2.04/0.63 % (4070)------------------------------
% 2.04/0.63 % (4070)------------------------------
% 2.04/0.63 % (4083)Refutation found. Thanks to Tanya!
% 2.04/0.63 % SZS status Unsatisfiable for theBenchmark
% 2.04/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 2.04/0.63 % (4083)------------------------------
% 2.04/0.63 % (4083)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.63 % (4083)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.63 % (4083)Termination reason: Refutation
% 2.04/0.63
% 2.04/0.63 % (4083)Memory used [KB]: 2430
% 2.04/0.63 % (4083)Time elapsed: 0.201 s
% 2.04/0.63 % (4083)Instructions burned: 29 (million)
% 2.04/0.63 % (4083)------------------------------
% 2.04/0.63 % (4083)------------------------------
% 2.04/0.63 % (4063)Success in time 0.294 s
%------------------------------------------------------------------------------