TSTP Solution File: GRP039-6 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP039-6 : 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 : n022.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 16:19:13 EDT 2022
% Result : Unsatisfiable 0.19s 0.57s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 18
% Syntax : Number of formulae : 52 ( 19 unt; 0 def)
% Number of atoms : 107 ( 1 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 95 ( 40 ~; 55 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f524,plain,
$false,
inference(subsumption_resolution,[],[f523,f396]) ).
fof(f396,plain,
subgroup_member(sF0),
inference(subsumption_resolution,[],[f395,f19]) ).
fof(f19,axiom,
subgroup_member(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_in_subgroup) ).
fof(f395,plain,
( subgroup_member(sF0)
| ~ subgroup_member(b) ),
inference(resolution,[],[f394,f5]) ).
fof(f5,axiom,
! [X2] :
( subgroup_member(inverse(X2))
| ~ subgroup_member(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_inverse) ).
fof(f394,plain,
( ~ subgroup_member(inverse(b))
| subgroup_member(sF0) ),
inference(subsumption_resolution,[],[f388,f25]) ).
fof(f25,plain,
( subgroup_member(sF0)
| ~ subgroup_member(a) ),
inference(superposition,[],[f5,f23]) ).
fof(f23,plain,
inverse(a) = sF0,
introduced(function_definition,[]) ).
fof(f388,plain,
( subgroup_member(sF0)
| ~ subgroup_member(inverse(b))
| subgroup_member(a) ),
inference(resolution,[],[f383,f227]) ).
fof(f227,plain,
product(inverse(b),c,sF0),
inference(resolution,[],[f112,f7]) ).
fof(f7,axiom,
! [X2] : product(identity,X2,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f112,plain,
! [X0] :
( ~ product(identity,sF0,X0)
| product(inverse(b),c,X0) ),
inference(resolution,[],[f82,f9]) ).
fof(f9,axiom,
! [X2] : product(inverse(X2),X2,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f82,plain,
! [X21,X22,X23] :
( ~ product(X21,b,X22)
| ~ product(X22,sF0,X23)
| product(X21,c,X23) ),
inference(resolution,[],[f11,f24]) ).
fof(f24,plain,
product(b,sF0,c),
inference(definition_folding,[],[f20,f23]) ).
fof(f20,axiom,
product(b,inverse(a),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_times_a_inverse_is_c) ).
fof(f11,axiom,
! [X2,X3,X8,X7,X4,X5] :
( ~ product(X3,X5,X8)
| ~ product(X2,X3,X7)
| ~ product(X7,X5,X4)
| product(X2,X8,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1) ).
fof(f383,plain,
! [X0,X1] :
( ~ product(X0,c,X1)
| subgroup_member(X1)
| subgroup_member(a)
| ~ subgroup_member(X0) ),
inference(resolution,[],[f381,f6]) ).
fof(f6,axiom,
! [X0,X1,X6] :
( ~ subgroup_member(X1)
| ~ product(X0,X1,X6)
| ~ subgroup_member(X0)
| subgroup_member(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_product) ).
fof(f381,plain,
( subgroup_member(c)
| subgroup_member(a) ),
inference(subsumption_resolution,[],[f380,f22]) ).
fof(f22,axiom,
~ subgroup_member(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_d_is_in_subgroup) ).
fof(f380,plain,
( subgroup_member(a)
| subgroup_member(d)
| subgroup_member(c) ),
inference(duplicate_literal_removal,[],[f379]) ).
fof(f379,plain,
( subgroup_member(a)
| subgroup_member(d)
| subgroup_member(c)
| subgroup_member(a) ),
inference(resolution,[],[f339,f17]) ).
fof(f17,axiom,
! [X0,X1] :
( subgroup_member(element_in_O2(X0,X1))
| subgroup_member(X0)
| subgroup_member(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',an_element_in_O2) ).
fof(f339,plain,
( ~ subgroup_member(element_in_O2(a,d))
| subgroup_member(a)
| subgroup_member(c) ),
inference(resolution,[],[f326,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ equalish(X0,X1)
| subgroup_member(X1)
| ~ subgroup_member(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subgroup_member_substitution) ).
fof(f326,plain,
( equalish(element_in_O2(a,d),c)
| subgroup_member(a) ),
inference(resolution,[],[f313,f38]) ).
fof(f38,plain,
! [X0,X1] :
( ~ product(X0,identity,X1)
| equalish(X1,X0) ),
inference(resolution,[],[f13,f8]) ).
fof(f8,axiom,
! [X2] : product(X2,identity,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
fof(f13,axiom,
! [X2,X3,X4,X5] :
( ~ product(X2,X3,X4)
| ~ product(X2,X3,X5)
| equalish(X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_defined) ).
fof(f313,plain,
( product(c,identity,element_in_O2(a,d))
| subgroup_member(a) ),
inference(resolution,[],[f117,f8]) ).
fof(f117,plain,
! [X0,X1] :
( ~ product(X0,X1,c)
| subgroup_member(a)
| product(X0,X1,element_in_O2(a,d)) ),
inference(resolution,[],[f92,f2]) ).
fof(f2,axiom,
! [X2,X3,X4,X5] :
( ~ equalish(X2,X3)
| ~ product(X4,X5,X2)
| product(X4,X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_substitution3) ).
fof(f92,plain,
( equalish(c,element_in_O2(a,d))
| subgroup_member(a) ),
inference(subsumption_resolution,[],[f91,f22]) ).
fof(f91,plain,
( equalish(c,element_in_O2(a,d))
| subgroup_member(d)
| subgroup_member(a) ),
inference(resolution,[],[f54,f18]) ).
fof(f18,axiom,
! [X0,X1] :
( product(X0,element_in_O2(X0,X1),X1)
| subgroup_member(X1)
| subgroup_member(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_O2) ).
fof(f54,plain,
! [X12] :
( ~ product(a,X12,d)
| equalish(c,X12) ),
inference(resolution,[],[f15,f21]) ).
fof(f21,axiom,
product(a,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_c_is_d) ).
fof(f15,axiom,
! [X0,X1,X6,X9] :
( ~ product(X0,X9,X6)
| ~ product(X0,X1,X6)
| equalish(X9,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f523,plain,
~ subgroup_member(sF0),
inference(resolution,[],[f522,f5]) ).
fof(f522,plain,
~ subgroup_member(inverse(sF0)),
inference(subsumption_resolution,[],[f521,f415]) ).
fof(f415,plain,
~ subgroup_member(a),
inference(subsumption_resolution,[],[f414,f22]) ).
fof(f414,plain,
( ~ subgroup_member(a)
| subgroup_member(d) ),
inference(resolution,[],[f405,f21]) ).
fof(f405,plain,
! [X0,X1] :
( ~ product(X0,c,X1)
| ~ subgroup_member(X0)
| subgroup_member(X1) ),
inference(resolution,[],[f403,f6]) ).
fof(f403,plain,
subgroup_member(c),
inference(subsumption_resolution,[],[f400,f19]) ).
fof(f400,plain,
( subgroup_member(c)
| ~ subgroup_member(b) ),
inference(resolution,[],[f397,f24]) ).
fof(f397,plain,
! [X0,X1] :
( ~ product(X0,sF0,X1)
| ~ subgroup_member(X0)
| subgroup_member(X1) ),
inference(resolution,[],[f396,f6]) ).
fof(f521,plain,
( ~ subgroup_member(inverse(sF0))
| subgroup_member(a) ),
inference(resolution,[],[f213,f1]) ).
fof(f213,plain,
equalish(inverse(sF0),a),
inference(resolution,[],[f49,f26]) ).
fof(f26,plain,
product(sF0,a,identity),
inference(superposition,[],[f9,f23]) ).
fof(f49,plain,
! [X2,X3] :
( ~ product(X2,X3,identity)
| equalish(inverse(X2),X3) ),
inference(resolution,[],[f15,f10]) ).
fof(f10,axiom,
! [X2] : product(X2,inverse(X2),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP039-6 : 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 : n022.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 22:11:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.52 % (1872)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)
% 0.19/0.52 % (1864)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)
% 0.19/0.52 % (1855)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)
% 0.19/0.52 % (1860)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)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (1849)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)
% 0.19/0.53 % (1858)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)
% 0.19/0.53 % (1859)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (1854)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)
% 0.19/0.53 % (1861)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53 % (1856)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (1857)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (1857)Instruction limit reached!
% 0.19/0.53 % (1857)------------------------------
% 0.19/0.53 % (1857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (1857)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (1857)Termination reason: Unknown
% 0.19/0.53 % (1857)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (1857)Memory used [KB]: 5373
% 0.19/0.53 % (1857)Time elapsed: 0.133 s
% 0.19/0.53 % (1857)Instructions burned: 2 (million)
% 0.19/0.53 % (1857)------------------------------
% 0.19/0.53 % (1857)------------------------------
% 0.19/0.53 % (1850)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)
% 0.19/0.53 % (1863)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)
% 0.19/0.53 % (1852)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)
% 0.19/0.53 % (1851)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)
% 0.19/0.53 % (1850)Refutation not found, incomplete strategy% (1850)------------------------------
% 0.19/0.53 % (1850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (1850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (1850)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (1850)Memory used [KB]: 5373
% 0.19/0.53 % (1850)Time elapsed: 0.133 s
% 0.19/0.53 % (1850)Instructions burned: 2 (million)
% 0.19/0.53 % (1850)------------------------------
% 0.19/0.53 % (1850)------------------------------
% 0.19/0.54 % (1870)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54 % (1873)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 % (1871)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)
% 0.19/0.54 % (1874)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 % (1876)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)
% 0.19/0.54 % (1856)Instruction limit reached!
% 0.19/0.54 % (1856)------------------------------
% 0.19/0.54 % (1856)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (1856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (1856)Termination reason: Unknown
% 0.19/0.54 % (1856)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (1856)Memory used [KB]: 5500
% 0.19/0.54 % (1856)Time elapsed: 0.086 s
% 0.19/0.54 % (1856)Instructions burned: 7 (million)
% 0.19/0.54 % (1856)------------------------------
% 0.19/0.54 % (1856)------------------------------
% 0.19/0.54 % (1853)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (1865)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)
% 0.19/0.54 % (1862)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (1875)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)
% 0.19/0.55 TRYING [1]
% 0.19/0.55 % (1866)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.55 % (1869)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)
% 0.19/0.55 TRYING [2]
% 0.19/0.55 % (1878)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)
% 0.19/0.55 TRYING [3]
% 0.19/0.55 TRYING [1]
% 0.19/0.55 % (1868)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)
% 0.19/0.55 TRYING [2]
% 0.19/0.55 TRYING [3]
% 0.19/0.55 % (1867)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.55 TRYING [4]
% 0.19/0.55 TRYING [4]
% 0.19/0.55 % (1877)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.56 % (1864)First to succeed.
% 0.19/0.57 % (1864)Refutation found. Thanks to Tanya!
% 0.19/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.57 % (1864)------------------------------
% 0.19/0.57 % (1864)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (1864)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (1864)Termination reason: Refutation
% 0.19/0.57
% 0.19/0.57 % (1864)Memory used [KB]: 1151
% 0.19/0.57 % (1864)Time elapsed: 0.096 s
% 0.19/0.57 % (1864)Instructions burned: 25 (million)
% 0.19/0.57 % (1864)------------------------------
% 0.19/0.57 % (1864)------------------------------
% 0.19/0.57 % (1848)Success in time 0.216 s
%------------------------------------------------------------------------------