TSTP Solution File: GRP132-1.002 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP132-1.002 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n013.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 16:14:31 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 9 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 93 ( 48 ~; 45 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f61,plain,
$false,
inference(subsumption_resolution,[],[f60,f55]) ).
fof(f55,plain,
~ product(e_1,e_1,e_1),
inference(resolution,[],[f52,f17]) ).
fof(f17,plain,
! [X0,X1] :
( ~ product(X0,e_2,X1)
| ~ product(X0,e_1,X1) ),
inference(resolution,[],[f7,f3]) ).
fof(f3,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( equalish(X2,X3)
| ~ product(X0,X3,X1)
| ~ product(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f52,plain,
product(e_1,e_2,e_1),
inference(resolution,[],[f51,f25]) ).
fof(f25,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(resolution,[],[f22,f1]) ).
fof(f1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
fof(f22,plain,
! [X1] :
( ~ group_element(X1)
| product(X1,e_2,e_1)
| product(X1,e_2,e_2) ),
inference(resolution,[],[f5,f2]) ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
fof(f5,axiom,
! [X0,X1] :
( ~ group_element(X1)
| ~ group_element(X0)
| product(X0,X1,e_1)
| product(X0,X1,e_2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
fof(f51,plain,
~ product(e_1,e_2,e_2),
inference(subsumption_resolution,[],[f48,f36]) ).
fof(f36,plain,
( ~ product(e_2,e_2,e_1)
| ~ product(e_1,e_2,e_2) ),
inference(subsumption_resolution,[],[f35,f17]) ).
fof(f35,plain,
( ~ product(e_2,e_2,e_1)
| product(e_2,e_1,e_1)
| ~ product(e_1,e_2,e_2) ),
inference(duplicate_literal_removal,[],[f34]) ).
fof(f34,plain,
( ~ product(e_2,e_2,e_1)
| ~ product(e_1,e_2,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_1) ),
inference(resolution,[],[f32,f24]) ).
fof(f24,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,[],[f21,f2]) ).
fof(f21,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2) ),
inference(resolution,[],[f5,f1]) ).
fof(f32,plain,
! [X0,X1] :
( ~ product(X0,X1,e_2)
| ~ product(X1,e_2,e_2)
| product(e_2,e_1,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[],[f24,f11]) ).
fof(f11,plain,
! [X2,X3,X0,X1] :
( ~ product(X1,e_1,X3)
| ~ product(X0,X1,e_1)
| ~ product(X2,e_2,X3)
| ~ product(X0,X2,e_2) ),
inference(resolution,[],[f3,f10]) ).
fof(f10,axiom,
! [X8,X6,X9,X7,X4,X5] :
( equalish(X5,X8)
| ~ product(X9,X4,X5)
| ~ product(X7,X8,X6)
| ~ product(X4,X5,X6)
| ~ product(X9,X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg2_2) ).
fof(f48,plain,
( product(e_2,e_2,e_1)
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[],[f26,f19]) ).
fof(f19,plain,
! [X0,X1] :
( ~ product(e_2,X0,X1)
| ~ product(e_1,X0,X1) ),
inference(resolution,[],[f8,f3]) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( equalish(X2,X3)
| ~ product(X2,X1,X0)
| ~ product(X3,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f26,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(resolution,[],[f22,f2]) ).
fof(f60,plain,
product(e_1,e_1,e_1),
inference(resolution,[],[f59,f23]) ).
fof(f23,plain,
( product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,[],[f21,f1]) ).
fof(f59,plain,
~ product(e_1,e_1,e_2),
inference(subsumption_resolution,[],[f31,f58]) ).
fof(f58,plain,
( ~ product(e_2,e_1,e_1)
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[],[f53,f52]) ).
fof(f53,plain,
! [X0,X1] :
( ~ product(X0,e_2,X1)
| ~ product(X0,e_1,e_2)
| ~ product(e_2,X1,e_1) ),
inference(resolution,[],[f52,f12]) ).
fof(f12,plain,
! [X6,X7,X4,X5] :
( ~ product(e_1,X7,X5)
| ~ product(X6,e_1,X7)
| ~ product(X6,e_2,X4)
| ~ product(e_2,X4,X5) ),
inference(resolution,[],[f3,f9]) ).
fof(f9,axiom,
! [X8,X6,X9,X7,X4,X5] :
( equalish(X4,X7)
| ~ product(X7,X8,X6)
| ~ product(X9,X4,X5)
| ~ product(X4,X5,X6)
| ~ product(X9,X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg2_1) ).
fof(f31,plain,
( product(e_2,e_1,e_1)
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[],[f24,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP132-1.002 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 22:12:02 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (27879)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.51 % (27887)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (27874)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51 % (27895)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.19/0.51 % (27895)Refutation not found, incomplete strategy% (27895)------------------------------
% 0.19/0.51 % (27895)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (27895)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (27895)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (27895)Memory used [KB]: 1279
% 0.19/0.51 % (27895)Time elapsed: 0.002 s
% 0.19/0.51 % (27895)Instructions burned: 1 (million)
% 0.19/0.51 % (27895)------------------------------
% 0.19/0.51 % (27895)------------------------------
% 0.19/0.51 % (27874)First to succeed.
% 0.19/0.51 % (27883)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.51 Detected maximum model sizes of [2]
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 % (27887)Refutation not found, incomplete strategy% (27887)------------------------------
% 0.19/0.51 % (27887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (27875)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (27887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (27887)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (27887)Memory used [KB]: 5756
% 0.19/0.51 % (27887)Time elapsed: 0.131 s
% 0.19/0.51 % (27887)Instructions burned: 1 (million)
% 0.19/0.51 % (27887)------------------------------
% 0.19/0.51 % (27887)------------------------------
% 0.19/0.51 % (27891)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51 % (27872)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.51 % (27872)Refutation not found, incomplete strategy% (27872)------------------------------
% 0.19/0.51 % (27872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (27872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (27872)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (27872)Memory used [KB]: 5756
% 0.19/0.51 % (27872)Time elapsed: 0.001 s
% 0.19/0.51 % (27872)------------------------------
% 0.19/0.51 % (27872)------------------------------
% 0.19/0.51 % (27876)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (27877)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (27882)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.52 % (27878)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.52 % (27868)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.52 % (27871)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.52 % (27871)Refutation not found, incomplete strategy% (27871)------------------------------
% 0.19/0.52 % (27871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (27871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (27871)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (27871)Memory used [KB]: 5756
% 0.19/0.52 % (27871)Time elapsed: 0.002 s
% 0.19/0.52 % (27871)Instructions burned: 1 (million)
% 0.19/0.52 % (27871)------------------------------
% 0.19/0.52 % (27871)------------------------------
% 0.19/0.52 % (27897)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (27870)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.52 % (27870)Refutation not found, incomplete strategy% (27870)------------------------------
% 0.19/0.52 % (27870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (27890)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.52 % (27870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (27874)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (27874)------------------------------
% 0.19/0.52 % (27874)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (27874)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (27874)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (27874)Memory used [KB]: 1279
% 0.19/0.52 % (27874)Time elapsed: 0.114 s
% 0.19/0.52 % (27874)Instructions burned: 4 (million)
% 0.19/0.52 % (27874)------------------------------
% 0.19/0.52 % (27874)------------------------------
% 0.19/0.52 % (27866)Success in time 0.175 s
%------------------------------------------------------------------------------