TSTP Solution File: GRP047-2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP047-2 : 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 : n029.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 16:19:15 EDT 2022
% Result : Unsatisfiable 2.26s 0.65s
% Output : Refutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 13 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 42 ( 23 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f665,plain,
$false,
inference(subsumption_resolution,[],[f457,f145]) ).
fof(f145,plain,
! [X0,X1] : product(multiply(X0,identity),X1,multiply(X0,X1)),
inference(resolution,[],[f43,f14]) ).
fof(f14,plain,
! [X0] : product(identity,X0,X0),
inference(literal_reordering,[],[f1]) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f43,plain,
! [X8,X6,X9,X7] :
( ~ product(X7,X8,X9)
| product(multiply(X6,X7),X8,multiply(X6,X9)) ),
inference(resolution,[],[f24,f11]) ).
fof(f11,plain,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
inference(literal_reordering,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function1) ).
fof(f24,plain,
! [X10,X11,X8,X9,X12] :
( ~ product(X10,X12,X8)
| product(X8,X9,multiply(X10,X11))
| ~ product(X12,X9,X11) ),
inference(resolution,[],[f13,f11]) ).
fof(f13,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X5,X3)
| product(X4,X2,X3)
| ~ product(X1,X2,X5)
| ~ product(X0,X1,X4) ),
inference(literal_reordering,[],[f6]) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X1,X2,X5)
| product(X4,X2,X3)
| ~ product(X0,X1,X4)
| ~ product(X0,X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity2) ).
fof(f457,plain,
~ product(multiply(c,identity),a,multiply(c,a)),
inference(resolution,[],[f150,f19]) ).
fof(f19,plain,
! [X0,X1] :
( ~ product(X0,X1,multiply(c,b))
| ~ product(X0,X1,multiply(c,a)) ),
inference(resolution,[],[f10,f12]) ).
fof(f12,plain,
~ equalish(multiply(c,a),multiply(c,b)),
inference(literal_reordering,[],[f9]) ).
fof(f9,axiom,
~ equalish(multiply(c,a),multiply(c,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_multiply_substitution2) ).
fof(f10,plain,
! [X2,X3,X0,X1] :
( equalish(X2,X3)
| ~ product(X0,X1,X2)
| ~ product(X0,X1,X3) ),
inference(literal_reordering,[],[f4]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| equalish(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function2) ).
fof(f150,plain,
! [X10] : product(multiply(X10,identity),a,multiply(X10,b)),
inference(resolution,[],[f43,f30]) ).
fof(f30,plain,
product(identity,a,b),
inference(resolution,[],[f20,f14]) ).
fof(f20,plain,
! [X0,X1] :
( ~ product(X0,X1,a)
| product(X0,X1,b) ),
inference(resolution,[],[f15,f16]) ).
fof(f16,plain,
equalish(a,b),
inference(literal_reordering,[],[f8]) ).
fof(f8,axiom,
equalish(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b) ).
fof(f15,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X0,X1)
| ~ product(X3,X2,X0)
| product(X3,X2,X1) ),
inference(literal_reordering,[],[f7]) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( product(X3,X2,X1)
| ~ equalish(X0,X1)
| ~ product(X3,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_substitution3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP047-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 22:20:11 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.52 % (32026)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 % (32000)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)
% 0.20/0.53 % (31997)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)
% 0.20/0.53 % (32012)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)
% 0.20/0.53 % (32027)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)
% 0.20/0.53 % (32015)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (32023)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (32001)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (32019)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (32017)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)
% 0.20/0.54 % (32002)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)
% 0.20/0.54 % (32004)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (31999)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)
% 0.20/0.54 % (32003)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)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (31998)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)
% 0.20/0.54 TRYING [3]
% 0.20/0.54 % (31998)Refutation not found, incomplete strategy% (31998)------------------------------
% 0.20/0.54 % (31998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (31998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (31998)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (31998)Memory used [KB]: 5373
% 0.20/0.54 % (31998)Time elapsed: 0.130 s
% 0.20/0.54 % (31998)Instructions burned: 1 (million)
% 0.20/0.54 % (31998)------------------------------
% 0.20/0.54 % (31998)------------------------------
% 0.20/0.54 % (32024)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)
% 0.20/0.54 TRYING [4]
% 0.20/0.55 % (32005)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 % (32006)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)
% 0.20/0.55 % (32005)Instruction limit reached!
% 0.20/0.55 % (32005)------------------------------
% 0.20/0.55 % (32005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (32005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (32005)Termination reason: Unknown
% 0.20/0.55 % (32005)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (32005)Memory used [KB]: 5373
% 0.20/0.55 % (32005)Time elapsed: 0.150 s
% 0.20/0.55 % (32005)Instructions burned: 3 (million)
% 0.20/0.55 % (32005)------------------------------
% 0.20/0.55 % (32005)------------------------------
% 0.20/0.55 % (32009)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55 % (32004)Instruction limit reached!
% 0.20/0.55 % (32004)------------------------------
% 0.20/0.55 % (32004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (32020)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)
% 0.20/0.55 % (32004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (32004)Termination reason: Unknown
% 0.20/0.55 % (32008)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)
% 0.20/0.55 % (32004)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (32004)Memory used [KB]: 5373
% 0.20/0.55 % (32004)Time elapsed: 0.103 s
% 0.20/0.55 % (32004)Instructions burned: 7 (million)
% 0.20/0.55 % (32004)------------------------------
% 0.20/0.55 % (32004)------------------------------
% 0.20/0.55 % (32013)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)
% 0.20/0.55 % (32014)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55 TRYING [1]
% 0.20/0.55 TRYING [2]
% 0.20/0.55 TRYING [1]
% 0.20/0.55 TRYING [3]
% 0.20/0.55 TRYING [2]
% 0.20/0.55 TRYING [3]
% 0.20/0.55 % (32022)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55 % (32021)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)
% 0.20/0.55 TRYING [4]
% 0.20/0.56 TRYING [4]
% 0.20/0.56 % (32010)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.56 % (32025)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)
% 0.20/0.56 % (32011)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)
% 1.61/0.56 % (32016)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)
% 1.61/0.58 % (32007)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.73/0.58 TRYING [5]
% 1.73/0.58 TRYING [5]
% 1.73/0.60 TRYING [5]
% 1.73/0.60 % (31999)Instruction limit reached!
% 1.73/0.60 % (31999)------------------------------
% 1.73/0.60 % (31999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.60 % (31999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.60 % (31999)Termination reason: Unknown
% 1.73/0.60 % (31999)Termination phase: Saturation
% 1.73/0.60
% 1.73/0.60 % (31999)Memory used [KB]: 1151
% 1.73/0.60 % (31999)Time elapsed: 0.174 s
% 1.73/0.60 % (31999)Instructions burned: 38 (million)
% 1.73/0.60 % (31999)------------------------------
% 1.73/0.60 % (31999)------------------------------
% 1.73/0.60 % (32003)Instruction limit reached!
% 1.73/0.60 % (32003)------------------------------
% 1.73/0.60 % (32003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.60 % (32003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.60 % (32003)Termination reason: Unknown
% 1.73/0.60 % (32003)Termination phase: Finite model building constraint generation
% 1.73/0.60
% 1.73/0.60 % (32003)Memory used [KB]: 7164
% 1.73/0.60 % (32003)Time elapsed: 0.195 s
% 1.73/0.60 % (32003)Instructions burned: 51 (million)
% 1.73/0.60 % (32003)------------------------------
% 1.73/0.60 % (32003)------------------------------
% 1.73/0.61 % (32014)Instruction limit reached!
% 1.73/0.61 % (32014)------------------------------
% 1.73/0.61 % (32014)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.61 % (32014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.61 % (32014)Termination reason: Unknown
% 1.73/0.61 % (32014)Termination phase: Finite model building constraint generation
% 1.73/0.61
% 1.73/0.61 % (32014)Memory used [KB]: 7675
% 1.73/0.61 % (32014)Time elapsed: 0.164 s
% 1.73/0.61 % (32014)Instructions burned: 61 (million)
% 1.73/0.61 % (32014)------------------------------
% 1.73/0.61 % (32014)------------------------------
% 1.73/0.62 % (32002)Instruction limit reached!
% 1.73/0.62 % (32002)------------------------------
% 1.73/0.62 % (32002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.62 % (32002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.62 % (32002)Termination reason: Unknown
% 1.73/0.62 % (32002)Termination phase: Saturation
% 1.73/0.62
% 1.73/0.62 % (32002)Memory used [KB]: 5884
% 1.73/0.62 % (32002)Time elapsed: 0.220 s
% 1.73/0.62 % (32002)Instructions burned: 49 (million)
% 1.73/0.62 % (32002)------------------------------
% 1.73/0.62 % (32002)------------------------------
% 2.13/0.63 % (32006)Instruction limit reached!
% 2.13/0.63 % (32006)------------------------------
% 2.13/0.63 % (32006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.63 % (32006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.63 % (32006)Termination reason: Unknown
% 2.13/0.63 % (32006)Termination phase: Saturation
% 2.13/0.63
% 2.13/0.63 % (32006)Memory used [KB]: 1151
% 2.13/0.63 % (32006)Time elapsed: 0.224 s
% 2.13/0.63 % (32006)Instructions burned: 51 (million)
% 2.13/0.63 % (32006)------------------------------
% 2.13/0.63 % (32006)------------------------------
% 2.13/0.64 % (32000)Instruction limit reached!
% 2.13/0.64 % (32000)------------------------------
% 2.13/0.64 % (32000)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.64 % (32001)Instruction limit reached!
% 2.13/0.64 % (32001)------------------------------
% 2.13/0.64 % (32001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.64 % (32012)Instruction limit reached!
% 2.13/0.64 % (32012)------------------------------
% 2.13/0.64 % (32012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.64 % (32010)Instruction limit reached!
% 2.13/0.64 % (32010)------------------------------
% 2.13/0.64 % (32010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.64 % (32010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.64 % (32010)Termination reason: Unknown
% 2.13/0.64 % (32010)Termination phase: Saturation
% 2.13/0.64
% 2.13/0.64 % (32010)Memory used [KB]: 6140
% 2.13/0.64 % (32010)Time elapsed: 0.227 s
% 2.13/0.64 % (32010)Instructions burned: 100 (million)
% 2.13/0.64 % (32010)------------------------------
% 2.13/0.64 % (32010)------------------------------
% 2.26/0.64 % (32024)First to succeed.
% 2.26/0.65 % (32024)Refutation found. Thanks to Tanya!
% 2.26/0.65 % SZS status Unsatisfiable for theBenchmark
% 2.26/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.26/0.65 % (32024)------------------------------
% 2.26/0.65 % (32024)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.65 % (32024)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.65 % (32024)Termination reason: Refutation
% 2.26/0.65
% 2.26/0.65 % (32024)Memory used [KB]: 6012
% 2.26/0.65 % (32024)Time elapsed: 0.025 s
% 2.26/0.65 % (32024)Instructions burned: 44 (million)
% 2.26/0.65 % (32024)------------------------------
% 2.26/0.65 % (32024)------------------------------
% 2.26/0.65 % (31994)Success in time 0.283 s
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