TSTP Solution File: LCL216-3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL216-3 : TPTP v8.1.0. Released v2.3.0.
% 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 : n010.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 17:47:22 EDT 2022
% Result : Unsatisfiable 0.14s 0.57s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 57 ( 44 unt; 0 def)
% Number of atoms : 72 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 18 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 58 ( 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1176,plain,
$false,
inference(subsumption_resolution,[],[f1174,f24]) ).
fof(f24,plain,
~ theorem(sF6),
inference(definition_folding,[],[f13,f23,f22,f21,f20,f19,f18,f17]) ).
fof(f17,plain,
or(p,q) = sF0,
introduced(function_definition,[]) ).
fof(f18,plain,
sF1 = not(sF0),
introduced(function_definition,[]) ).
fof(f19,plain,
not(q) = sF2,
introduced(function_definition,[]) ).
fof(f20,plain,
or(p,sF2) = sF3,
introduced(function_definition,[]) ).
fof(f21,plain,
not(sF3) = sF4,
introduced(function_definition,[]) ).
fof(f22,plain,
or(sF4,p) = sF5,
introduced(function_definition,[]) ).
fof(f23,plain,
sF6 = or(sF1,sF5),
introduced(function_definition,[]) ).
fof(f13,plain,
~ theorem(or(not(or(p,q)),or(not(or(p,not(q))),p))),
inference(definition_unfolding,[],[f9,f6,f6]) ).
fof(f6,axiom,
! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f9,axiom,
~ theorem(implies(or(p,q),implies(or(p,not(q)),p))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f1174,plain,
theorem(sF6),
inference(resolution,[],[f1157,f109]) ).
fof(f109,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f25,f15]) ).
fof(f15,plain,
! [X3,X4] :
( ~ theorem(or(not(X4),X3))
| ~ theorem(X4)
| theorem(X3) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f8,axiom,
! [X3,X4] :
( ~ theorem(implies(X4,X3))
| theorem(X3)
| ~ theorem(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f25,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f11,f7]) ).
fof(f7,axiom,
! [X3] :
( ~ axiom(X3)
| theorem(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f11,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f1157,plain,
theorem(or(sF6,sF6)),
inference(resolution,[],[f836,f1075]) ).
fof(f1075,plain,
theorem(or(sF6,sF5)),
inference(resolution,[],[f826,f844]) ).
fof(f844,plain,
theorem(or(sF6,p)),
inference(resolution,[],[f843,f138]) ).
fof(f138,plain,
! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X1,X0)) ),
inference(resolution,[],[f35,f15]) ).
fof(f35,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f12,f7]) ).
fof(f12,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f843,plain,
theorem(or(p,sF6)),
inference(subsumption_resolution,[],[f838,f448]) ).
fof(f448,plain,
theorem(or(sF2,sF5)),
inference(forward_demodulation,[],[f443,f22]) ).
fof(f443,plain,
theorem(or(sF2,or(sF4,p))),
inference(resolution,[],[f174,f108]) ).
fof(f108,plain,
theorem(or(sF4,or(sF2,p))),
inference(resolution,[],[f45,f7]) ).
fof(f45,plain,
axiom(or(sF4,or(sF2,p))),
inference(forward_demodulation,[],[f37,f21]) ).
fof(f37,plain,
axiom(or(not(sF3),or(sF2,p))),
inference(superposition,[],[f12,f20]) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X1,or(X0,X2))) ),
inference(resolution,[],[f74,f15]) ).
fof(f74,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f14,f7]) ).
fof(f14,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f838,plain,
( ~ theorem(or(sF2,sF5))
| theorem(or(p,sF6)) ),
inference(resolution,[],[f398,f395]) ).
fof(f395,plain,
! [X0] :
( ~ theorem(or(sF1,or(X0,sF5)))
| theorem(or(X0,sF6)) ),
inference(resolution,[],[f166,f15]) ).
fof(f166,plain,
! [X0] : theorem(or(not(or(sF1,or(X0,sF5))),or(X0,sF6))),
inference(resolution,[],[f82,f7]) ).
fof(f82,plain,
! [X3] : axiom(or(not(or(sF1,or(X3,sF5))),or(X3,sF6))),
inference(superposition,[],[f14,f23]) ).
fof(f398,plain,
! [X0] :
( theorem(or(sF1,or(p,X0)))
| ~ theorem(or(sF2,X0)) ),
inference(resolution,[],[f168,f15]) ).
fof(f168,plain,
! [X0] : theorem(or(not(or(sF2,X0)),or(sF1,or(p,X0)))),
inference(resolution,[],[f96,f7]) ).
fof(f96,plain,
! [X0] : axiom(or(not(or(sF2,X0)),or(sF1,or(p,X0)))),
inference(forward_demodulation,[],[f95,f19]) ).
fof(f95,plain,
! [X0] : axiom(or(not(or(not(q),X0)),or(sF1,or(p,X0)))),
inference(forward_demodulation,[],[f87,f18]) ).
fof(f87,plain,
! [X0] : axiom(or(not(or(not(q),X0)),or(not(sF0),or(p,X0)))),
inference(superposition,[],[f10,f17]) ).
fof(f10,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f826,plain,
! [X3] :
( ~ theorem(or(X3,p))
| theorem(or(X3,sF5)) ),
inference(resolution,[],[f391,f110]) ).
fof(f110,plain,
! [X0,X1] :
( theorem(or(X1,X0))
| ~ theorem(X0) ),
inference(resolution,[],[f26,f15]) ).
fof(f26,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f16,f7]) ).
fof(f16,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f391,plain,
! [X0] :
( ~ theorem(or(sF4,or(X0,p)))
| theorem(or(X0,sF5)) ),
inference(resolution,[],[f163,f15]) ).
fof(f163,plain,
! [X0] : theorem(or(not(or(sF4,or(X0,p))),or(X0,sF5))),
inference(resolution,[],[f81,f7]) ).
fof(f81,plain,
! [X2] : axiom(or(not(or(sF4,or(X2,p))),or(X2,sF5))),
inference(superposition,[],[f14,f22]) ).
fof(f836,plain,
! [X3] :
( ~ theorem(or(X3,sF5))
| theorem(or(X3,sF6)) ),
inference(resolution,[],[f395,f110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LCL216-3 : TPTP v8.1.0. Released v2.3.0.
% 0.00/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.30 % Computer : n010.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Aug 30 01:37:44 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.14/0.46 % (2460)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.46 % (2458)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.14/0.46 % (2470)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.14/0.47 % (2462)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.14/0.47 % (2474)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 (3000ds/498Mi)
% 0.14/0.47 % (2476)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.14/0.47 % (2460)Instruction limit reached!
% 0.14/0.47 % (2460)------------------------------
% 0.14/0.47 % (2460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47 TRYING [1]
% 0.14/0.47 TRYING [2]
% 0.14/0.47 TRYING [3]
% 0.14/0.48 % (2460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48 % (2460)Termination reason: Unknown
% 0.14/0.48 % (2460)Termination phase: Saturation
% 0.14/0.48
% 0.14/0.48 % (2460)Memory used [KB]: 5373
% 0.14/0.48 % (2460)Time elapsed: 0.101 s
% 0.14/0.48 % (2460)Instructions burned: 2 (million)
% 0.14/0.48 % (2460)------------------------------
% 0.14/0.48 % (2460)------------------------------
% 0.14/0.48 % (2468)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 (3000ds/99Mi)
% 0.14/0.48 % (2466)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 (3000ds/68Mi)
% 0.14/0.48 % (2478)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 (3000ds/68Mi)
% 0.14/0.49 TRYING [4]
% 0.14/0.49 % (2459)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.14/0.50 % (2463)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.14/0.51 % (2464)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.14/0.51 % (2465)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.14/0.51 % (2456)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.14/0.51 % (2455)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.14/0.51 % (2453)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.14/0.51 % (2453)Refutation not found, incomplete strategy% (2453)------------------------------
% 0.14/0.51 % (2453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.51 % (2453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.51 % (2453)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.51
% 0.14/0.51 % (2453)Memory used [KB]: 5373
% 0.14/0.51 % (2453)Time elapsed: 0.152 s
% 0.14/0.51 % (2453)------------------------------
% 0.14/0.51 % (2453)------------------------------
% 0.14/0.52 % (2459)Instruction limit reached!
% 0.14/0.52 % (2459)------------------------------
% 0.14/0.52 % (2459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.52 % (2459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.52 % (2459)Termination reason: Unknown
% 0.14/0.52 % (2459)Termination phase: Saturation
% 0.14/0.52
% 0.14/0.52 % (2459)Memory used [KB]: 5500
% 0.14/0.52 % (2459)Time elapsed: 0.137 s
% 0.14/0.52 % (2459)Instructions burned: 8 (million)
% 0.14/0.52 % (2459)------------------------------
% 0.14/0.52 % (2459)------------------------------
% 0.14/0.52 % (2480)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.14/0.52 % (2481)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 (3000ds/355Mi)
% 0.14/0.52 % (2471)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 (3000ds/100Mi)
% 0.14/0.52 % (2473)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.14/0.52 % (2472)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 (3000ds/176Mi)
% 0.14/0.52 % (2475)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 (3000ds/467Mi)
% 0.14/0.53 % (2457)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 (3000ds/48Mi)
% 0.14/0.53 % (2467)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 (3000ds/75Mi)
% 0.14/0.53 % (2458)Instruction limit reached!
% 0.14/0.53 % (2458)------------------------------
% 0.14/0.53 % (2458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.53 % (2479)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 (3000ds/177Mi)
% 0.14/0.54 % (2458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.54 % (2458)Termination reason: Unknown
% 0.14/0.54 % (2458)Termination phase: Finite model building SAT solving
% 0.14/0.54
% 0.14/0.54 % (2458)Memory used [KB]: 6908
% 0.14/0.54 % (2458)Time elapsed: 0.139 s
% 0.14/0.54 % (2458)Instructions burned: 53 (million)
% 0.14/0.54 % (2458)------------------------------
% 0.14/0.54 % (2458)------------------------------
% 0.14/0.55 % (2462)Instruction limit reached!
% 0.14/0.55 % (2462)------------------------------
% 0.14/0.55 % (2462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.56 % (2470)First to succeed.
% 0.14/0.56 % (2477)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.14/0.56 % (2462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.57 % (2462)Termination reason: Unknown
% 0.14/0.57 % (2462)Termination phase: Saturation
% 0.14/0.57
% 0.14/0.57 % (2462)Memory used [KB]: 6012
% 0.14/0.57 % (2462)Time elapsed: 0.187 s
% 0.14/0.57 % (2462)Instructions burned: 51 (million)
% 0.14/0.57 % (2462)------------------------------
% 0.14/0.57 % (2462)------------------------------
% 0.14/0.57 % (2469)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.14/0.57 TRYING [1]
% 0.14/0.57 TRYING [2]
% 0.14/0.57 % (2470)Refutation found. Thanks to Tanya!
% 0.14/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.57 % (2470)------------------------------
% 0.14/0.57 % (2470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.57 % (2470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.57 % (2470)Termination reason: Refutation
% 0.14/0.57
% 0.14/0.57 % (2470)Memory used [KB]: 6268
% 0.14/0.57 % (2470)Time elapsed: 0.203 s
% 0.14/0.57 % (2470)Instructions burned: 47 (million)
% 0.14/0.57 % (2470)------------------------------
% 0.14/0.57 % (2470)------------------------------
% 0.14/0.57 % (2450)Success in time 0.259 s
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