TSTP Solution File: HWV022-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : HWV022-1 : TPTP v8.1.0. Released v2.5.0.
% 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 16:58:16 EDT 2022
% Result : Unsatisfiable 1.36s 0.57s
% Output : Refutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 20
% Syntax : Number of formulae : 63 ( 26 unt; 3 typ; 0 def)
% Number of atoms : 124 ( 38 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 100 ( 36 ~; 64 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 41 ( 41 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_14,type,
sQ1_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_15,type,
sQ2_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_16,type,
sQ3_eqProxy: ( $real * $real ) > $o ).
fof(f892,plain,
$false,
inference(subsumption_resolution,[],[f887,f281]) ).
fof(f281,plain,
gt(fifo_length,n0),
inference(superposition,[],[f131,f194]) ).
fof(f194,plain,
fifo_length = plus(int_level(t_139),n1),
inference(literal_reordering,[],[f96]) ).
fof(f96,plain,
fifo_length = plus(int_level(t_139),n1),
inference(definition_unfolding,[],[f91,f21]) ).
fof(f21,axiom,
! [X25] : level(X25) = int_level(X25),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
fof(f91,axiom,
fifo_length = plus(level(t_139),n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f131,plain,
! [X1] : gt(plus(X1,n1),n0),
inference(literal_reordering,[],[f2]) ).
fof(f2,axiom,
! [X1] : gt(plus(X1,n1),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f887,plain,
~ gt(fifo_length,n0),
inference(resolution,[],[f853,f123]) ).
fof(f123,plain,
! [X2] :
( gt(X2,minus(X2,n1))
| ~ gt(X2,n0) ),
inference(literal_reordering,[],[f3]) ).
fof(f3,axiom,
! [X2] :
( gt(X2,minus(X2,n1))
| ~ gt(X2,n0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f853,plain,
~ gt(fifo_length,minus(fifo_length,n1)),
inference(backward_demodulation,[],[f773,f836]) ).
fof(f836,plain,
minus(fifo_length,n1) = int_level(t_139),
inference(subsumption_resolution,[],[f477,f835]) ).
fof(f835,plain,
gt(fifo_length,n1),
inference(subsumption_resolution,[],[f797,f817]) ).
fof(f817,plain,
fifo_length != int_level(t_139),
inference(superposition,[],[f115,f790]) ).
fof(f790,plain,
int_level(t_139) = int_level(plus(t_139,n1)),
inference(subsumption_resolution,[],[f610,f773]) ).
fof(f610,plain,
( gt(fifo_length,int_level(t_139))
| int_level(t_139) = int_level(plus(t_139,n1)) ),
inference(subsumption_resolution,[],[f600,f140]) ).
fof(f140,plain,
~ p_Reset(t_139),
inference(literal_reordering,[],[f94]) ).
fof(f94,axiom,
~ p_Reset(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
fof(f600,plain,
( int_level(t_139) = int_level(plus(t_139,n1))
| gt(fifo_length,int_level(t_139))
| p_Reset(t_139) ),
inference(resolution,[],[f598,f156]) ).
fof(f156,plain,
~ p_Rd(t_139),
inference(literal_reordering,[],[f92]) ).
fof(f92,axiom,
~ p_Rd(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f598,plain,
! [X34] :
( p_Rd(X34)
| int_level(X34) = int_level(plus(X34,n1))
| gt(fifo_length,int_level(X34))
| p_Reset(X34) ),
inference(subsumption_resolution,[],[f150,f178]) ).
fof(f178,plain,
! [X34] :
( p_Rd(X34)
| p_Wr(X34)
| int_level(X34) = int_level(plus(X34,n1))
| p_Reset(X34) ),
inference(literal_reordering,[],[f82]) ).
fof(f82,axiom,
! [X34] :
( p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| int_level(X34) = int_level(plus(X34,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_82) ).
fof(f150,plain,
! [X34] :
( ~ p_Wr(X34)
| gt(fifo_length,int_level(X34))
| p_Rd(X34)
| int_level(X34) = int_level(plus(X34,n1))
| p_Reset(X34) ),
inference(literal_reordering,[],[f44]) ).
fof(f44,axiom,
! [X34] :
( p_Reset(X34)
| gt(fifo_length,int_level(X34))
| ~ p_Wr(X34)
| p_Rd(X34)
| int_level(X34) = int_level(plus(X34,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).
fof(f115,plain,
fifo_length != int_level(plus(t_139,n1)),
inference(literal_reordering,[],[f97]) ).
fof(f97,plain,
fifo_length != int_level(plus(t_139,n1)),
inference(definition_unfolding,[],[f95,f21]) ).
fof(f95,axiom,
fifo_length != level(plus(t_139,n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_5) ).
fof(f797,plain,
( gt(fifo_length,n1)
| fifo_length = int_level(t_139) ),
inference(forward_demodulation,[],[f792,f194]) ).
fof(f792,plain,
( gt(plus(int_level(t_139),n1),n1)
| fifo_length = int_level(t_139) ),
inference(resolution,[],[f773,f522]) ).
fof(f522,plain,
! [X0] :
( gt(plus(X0,n1),n1)
| gt(fifo_length,X0)
| fifo_length = X0 ),
inference(forward_demodulation,[],[f518,f149]) ).
fof(f149,plain,
n1 = plus(n0,n1),
inference(literal_reordering,[],[f20]) ).
fof(f20,axiom,
n1 = plus(n0,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(f518,plain,
! [X0] :
( fifo_length = X0
| gt(plus(X0,n1),plus(n0,n1))
| gt(fifo_length,X0) ),
inference(resolution,[],[f334,f148]) ).
fof(f148,plain,
! [X6,X7] :
( ~ gt(X6,X7)
| gt(plus(X6,n1),plus(X7,n1)) ),
inference(literal_reordering,[],[f8]) ).
fof(f8,axiom,
! [X6,X7] :
( ~ gt(X6,X7)
| gt(plus(X6,n1),plus(X7,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f334,plain,
! [X0] :
( gt(fifo_length,X0)
| gt(X0,n0)
| fifo_length = X0 ),
inference(resolution,[],[f304,f173]) ).
fof(f173,plain,
! [X12,X13] :
( gt(X13,X12)
| gt(X12,X13)
| X12 = X13 ),
inference(literal_reordering,[],[f12]) ).
fof(f12,axiom,
! [X12,X13] :
( gt(X13,X12)
| X12 = X13
| gt(X12,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(f304,plain,
! [X5] :
( ~ gt(X5,fifo_length)
| gt(X5,n0) ),
inference(resolution,[],[f145,f281]) ).
fof(f145,plain,
! [X16,X14,X15] :
( ~ gt(X15,X16)
| gt(X14,X16)
| ~ gt(X14,X15) ),
inference(literal_reordering,[],[f13]) ).
fof(f13,axiom,
! [X16,X14,X15] :
( gt(X14,X16)
| ~ gt(X14,X15)
| ~ gt(X15,X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f477,plain,
( ~ gt(fifo_length,n1)
| minus(fifo_length,n1) = int_level(t_139) ),
inference(resolution,[],[f400,f187]) ).
fof(f187,plain,
! [X3,X4] :
( ~ def_10(X4,X3)
| ~ gt(X3,X4) ),
inference(literal_reordering,[],[f6]) ).
fof(f6,axiom,
! [X3,X4] :
( ~ def_10(X4,X3)
| ~ gt(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f400,plain,
( def_10(n1,fifo_length)
| minus(fifo_length,n1) = int_level(t_139) ),
inference(superposition,[],[f186,f194]) ).
fof(f186,plain,
! [X4,X5] :
( def_10(X4,plus(X5,X4))
| minus(plus(X5,X4),X4) = X5 ),
inference(literal_reordering,[],[f98]) ).
fof(f98,plain,
! [X4,X5] :
( minus(plus(X5,X4),X4) = X5
| def_10(X4,plus(X5,X4)) ),
inference(equality_resolution,[],[f5]) ).
fof(f5,axiom,
! [X3,X4,X5] :
( def_10(X4,X3)
| plus(X5,X4) != X3
| minus(X3,X4) = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f773,plain,
~ gt(fifo_length,int_level(t_139)),
inference(subsumption_resolution,[],[f772,f115]) ).
fof(f772,plain,
( fifo_length = int_level(plus(t_139,n1))
| ~ gt(fifo_length,int_level(t_139)) ),
inference(forward_demodulation,[],[f771,f194]) ).
fof(f771,plain,
( ~ gt(fifo_length,int_level(t_139))
| int_level(plus(t_139,n1)) = plus(int_level(t_139),n1) ),
inference(subsumption_resolution,[],[f770,f156]) ).
fof(f770,plain,
( int_level(plus(t_139,n1)) = plus(int_level(t_139),n1)
| ~ gt(fifo_length,int_level(t_139))
| p_Rd(t_139) ),
inference(subsumption_resolution,[],[f762,f140]) ).
fof(f762,plain,
( int_level(plus(t_139,n1)) = plus(int_level(t_139),n1)
| ~ gt(fifo_length,int_level(t_139))
| p_Reset(t_139)
| p_Rd(t_139) ),
inference(resolution,[],[f114,f192]) ).
fof(f192,plain,
p_Wr(t_139),
inference(literal_reordering,[],[f93]) ).
fof(f93,axiom,
p_Wr(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
fof(f114,plain,
! [X34] :
( ~ p_Wr(X34)
| int_level(plus(X34,n1)) = plus(int_level(X34),n1)
| p_Rd(X34)
| ~ gt(fifo_length,int_level(X34))
| p_Reset(X34) ),
inference(literal_reordering,[],[f35]) ).
fof(f35,axiom,
! [X34] :
( ~ p_Wr(X34)
| ~ gt(fifo_length,int_level(X34))
| p_Reset(X34)
| int_level(plus(X34,n1)) = plus(int_level(X34),n1)
| p_Rd(X34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_35) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HWV022-1 : TPTP v8.1.0. Released v2.5.0.
% 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
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 22:50:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (17255)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)
% 0.19/0.50 % (17264)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)
% 0.19/0.51 % (17278)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.21/0.52 % (17251)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)
% 1.21/0.52 % (17276)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)
% 1.21/0.52 % (17267)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.21/0.52 % (17263)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.21/0.52 % (17253)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)
% 1.21/0.52 % (17254)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.36/0.53 % (17258)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.36/0.53 % (17250)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)
% 1.36/0.53 % (17272)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)
% 1.36/0.53 % (17252)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)
% 1.36/0.53 % (17262)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.36/0.53 % (17259)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)
% 1.36/0.53 % (17269)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)
% 1.36/0.54 TRYING [1]
% 1.36/0.54 % (17258)Instruction limit reached!
% 1.36/0.54 % (17258)------------------------------
% 1.36/0.54 % (17258)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.54 % (17258)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.54 % (17258)Termination reason: Unknown
% 1.36/0.54 % (17258)Termination phase: Blocked clause elimination
% 1.36/0.54
% 1.36/0.54 % (17258)Memory used [KB]: 1023
% 1.36/0.54 % (17258)Time elapsed: 0.004 s
% 1.36/0.54 % (17258)Instructions burned: 3 (million)
% 1.36/0.54 % (17258)------------------------------
% 1.36/0.54 % (17258)------------------------------
% 1.36/0.54 % (17261)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)
% 1.36/0.54 % (17268)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.36/0.54 % (17260)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.36/0.54 % (17256)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)
% 1.36/0.54 % (17279)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)
% 1.36/0.54 % (17274)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.36/0.54 % (17270)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)
% 1.36/0.54 TRYING [2]
% 1.36/0.54 % (17266)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)
% 1.36/0.54 % (17265)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)
% 1.36/0.54 % (17273)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)
% 1.36/0.54 % (17277)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)
% 1.36/0.55 % (17275)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.36/0.55 % (17257)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.36/0.55 TRYING [3]
% 1.36/0.55 % (17271)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.36/0.56 TRYING [1]
% 1.36/0.56 % (17255)Instruction limit reached!
% 1.36/0.56 % (17255)------------------------------
% 1.36/0.56 % (17255)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.56 % (17257)Instruction limit reached!
% 1.36/0.56 % (17257)------------------------------
% 1.36/0.56 % (17257)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.56 % (17257)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.56 % (17257)Termination reason: Unknown
% 1.36/0.56 % (17257)Termination phase: Saturation
% 1.36/0.56
% 1.36/0.56 % (17257)Memory used [KB]: 5628
% 1.36/0.56 % (17257)Time elapsed: 0.127 s
% 1.36/0.56 % (17257)Instructions burned: 8 (million)
% 1.36/0.56 % (17257)------------------------------
% 1.36/0.56 % (17257)------------------------------
% 1.36/0.56 TRYING [1]
% 1.36/0.56 TRYING [2]
% 1.36/0.57 % (17264)First to succeed.
% 1.36/0.57 % (17264)Refutation found. Thanks to Tanya!
% 1.36/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.36/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.36/0.57 % (17264)------------------------------
% 1.36/0.57 % (17264)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.57 % (17264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.57 % (17264)Termination reason: Refutation
% 1.36/0.57
% 1.36/0.57 % (17264)Memory used [KB]: 6268
% 1.36/0.57 % (17264)Time elapsed: 0.024 s
% 1.36/0.57 % (17264)Instructions burned: 37 (million)
% 1.36/0.57 % (17264)------------------------------
% 1.36/0.57 % (17264)------------------------------
% 1.36/0.57 % (17246)Success in time 0.214 s
%------------------------------------------------------------------------------