TSTP Solution File: GEO026-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO026-2 : 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 : 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 16:11:34 EDT 2022
% Result : Unsatisfiable 1.43s 0.54s
% Output : Refutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 12 unt; 0 def)
% Number of atoms : 58 ( 7 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 67 ( 33 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f167,plain,
$false,
inference(subsumption_resolution,[],[f164,f23]) ).
fof(f23,axiom,
w != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_w_is_x) ).
fof(f164,plain,
w = x,
inference(resolution,[],[f161,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_equidistance) ).
fof(f161,plain,
! [X0] : equidistant(x,X0,w,X0),
inference(subsumption_resolution,[],[f160,f48]) ).
fof(f48,plain,
! [X2,X3] : equidistant(X2,X3,X2,X3),
inference(resolution,[],[f26,f1]) ).
fof(f1,axiom,
! [X0,X1] : equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_for_equidistance) ).
fof(f26,plain,
! [X2,X3,X4,X5] :
( ~ equidistant(X3,X2,X4,X5)
| equidistant(X2,X3,X4,X5) ),
inference(resolution,[],[f2,f1]) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X4,X5)
| ~ equidistant(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_for_equidistance) ).
fof(f160,plain,
! [X0] :
( ~ equidistant(v,X0,v,X0)
| equidistant(x,X0,w,X0) ),
inference(resolution,[],[f126,f48]) ).
fof(f126,plain,
! [X2,X3] :
( ~ equidistant(u,X2,u,X3)
| ~ equidistant(v,X2,v,X3)
| equidistant(x,X2,w,X3) ),
inference(subsumption_resolution,[],[f124,f83]) ).
fof(f83,plain,
equidistant(v,x,v,w),
inference(resolution,[],[f77,f26]) ).
fof(f77,plain,
equidistant(x,v,v,w),
inference(resolution,[],[f47,f48]) ).
fof(f47,plain,
! [X0,X1] :
( ~ equidistant(v,w,X0,X1)
| equidistant(x,v,X0,X1) ),
inference(resolution,[],[f26,f25]) ).
fof(f25,plain,
! [X0,X1] :
( equidistant(v,x,X0,X1)
| ~ equidistant(v,w,X0,X1) ),
inference(resolution,[],[f2,f21]) ).
fof(f21,axiom,
equidistant(v,w,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_to_w_equals_v_to_x) ).
fof(f124,plain,
! [X2,X3] :
( equidistant(x,X2,w,X3)
| ~ equidistant(v,X2,v,X3)
| ~ equidistant(v,x,v,w)
| ~ equidistant(u,X2,u,X3) ),
inference(resolution,[],[f73,f20]) ).
fof(f20,axiom,
between(u,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_x) ).
fof(f73,plain,
! [X16,X14,X15] :
( ~ between(u,v,X14)
| ~ equidistant(u,X15,u,X16)
| ~ equidistant(v,X15,v,X16)
| equidistant(X14,X15,w,X16)
| ~ equidistant(v,X14,v,w) ),
inference(subsumption_resolution,[],[f72,f22]) ).
fof(f22,axiom,
u != v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_not_v) ).
fof(f72,plain,
! [X16,X14,X15] :
( equidistant(X14,X15,w,X16)
| ~ equidistant(v,X15,v,X16)
| ~ between(u,v,X14)
| ~ equidistant(v,X14,v,w)
| ~ equidistant(u,X15,u,X16)
| u = v ),
inference(resolution,[],[f48,f42]) ).
fof(f42,plain,
! [X2,X3,X0,X1,X4] :
( ~ equidistant(X2,X0,u,v)
| X0 = X2
| equidistant(X1,X3,w,X4)
| ~ equidistant(X0,X1,v,w)
| ~ equidistant(X0,X3,v,X4)
| ~ equidistant(X2,X3,u,X4)
| ~ between(X2,X0,X1) ),
inference(resolution,[],[f6,f19]) ).
fof(f19,axiom,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X8,X6,X9,X7] :
( ~ between(X6,X7,X8)
| ~ equidistant(X1,X2,X7,X8)
| ~ between(X0,X1,X2)
| equidistant(X2,X3,X8,X9)
| ~ equidistant(X1,X3,X7,X9)
| ~ equidistant(X0,X3,X6,X9)
| X0 = X1
| ~ equidistant(X0,X1,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outer_five_segment) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO026-2 : 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_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 : Mon Aug 29 21:01:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.49 % (23207)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.49 % (23198)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 % (23197)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)
% 0.21/0.51 % (23208)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.51 % (23194)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)
% 0.21/0.51 TRYING [1]
% 0.21/0.51 TRYING [2]
% 0.21/0.51 % (23195)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)
% 0.21/0.51 % (23209)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)
% 0.21/0.51 % (23218)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)
% 0.21/0.51 % (23210)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)
% 1.29/0.52 % (23206)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)
% 1.29/0.52 % (23222)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)
% 1.29/0.52 % (23201)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.29/0.52 % (23216)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.29/0.52 % (23200)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)
% 1.29/0.52 TRYING [1]
% 1.29/0.52 TRYING [2]
% 1.29/0.53 % (23203)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)
% 1.29/0.53 % (23199)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)
% 1.29/0.53 % (23195)Refutation not found, incomplete strategy% (23195)------------------------------
% 1.29/0.53 % (23195)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.53 % (23220)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.29/0.53 % (23195)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.53 % (23195)Termination reason: Refutation not found, incomplete strategy
% 1.29/0.53
% 1.29/0.53 % (23195)Memory used [KB]: 5500
% 1.29/0.53 % (23195)Time elapsed: 0.129 s
% 1.29/0.53 % (23195)Instructions burned: 2 (million)
% 1.29/0.53 % (23195)------------------------------
% 1.29/0.53 % (23195)------------------------------
% 1.29/0.53 % (23212)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.29/0.53 % (23224)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)
% 1.43/0.53 TRYING [3]
% 1.43/0.53 % (23223)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.43/0.53 TRYING [1]
% 1.43/0.53 TRYING [2]
% 1.43/0.54 % (23218)First to succeed.
% 1.43/0.54 % (23214)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)
% 1.43/0.54 % (23218)Refutation found. Thanks to Tanya!
% 1.43/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.43/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.43/0.54 % (23218)------------------------------
% 1.43/0.54 % (23218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.54 % (23218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.54 % (23218)Termination reason: Refutation
% 1.43/0.54
% 1.43/0.54 % (23218)Memory used [KB]: 5500
% 1.43/0.54 % (23218)Time elapsed: 0.095 s
% 1.43/0.54 % (23218)Instructions burned: 9 (million)
% 1.43/0.54 % (23218)------------------------------
% 1.43/0.54 % (23218)------------------------------
% 1.43/0.54 % (23190)Success in time 0.184 s
%------------------------------------------------------------------------------