TSTP Solution File: GRP128-4.003 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP128-4.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n026.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 16:14:27 EDT 2022
% Result : Unsatisfiable 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 40 ( 12 unt; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 86 ( 32 ~; 54 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f162,plain,
$false,
inference(subsumption_resolution,[],[f157,f50]) ).
fof(f50,plain,
product(e_1,e_1,e_1),
inference(subsumption_resolution,[],[f49,f4]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X2,X3)
| ~ product(X0,X1,X2)
| product(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3_2) ).
fof(f49,plain,
( product(e_3,e_1,e_1)
| product(e_1,e_1,e_1) ),
inference(subsumption_resolution,[],[f46,f4]) ).
fof(f46,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(resolution,[],[f37,f5]) ).
fof(f5,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
fof(f37,plain,
! [X0] :
( ~ group_element(X0)
| product(e_2,e_1,X0)
| product(e_1,e_1,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[],[f1,f5]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ group_element(X0)
| ~ group_element(X1)
| product(e_3,X0,X1)
| product(e_2,X0,X1)
| product(e_1,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',row_surjectivity) ).
fof(f157,plain,
~ product(e_1,e_1,e_1),
inference(resolution,[],[f150,f19]) ).
fof(f19,plain,
! [X0,X1] :
( ~ product(X0,X1,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[],[f15,f8]) ).
fof(f8,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f15,axiom,
! [X0,X1,X4,X5] :
( equalish(X4,X5)
| ~ product(X0,X1,X4)
| ~ product(X0,X1,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
fof(f150,plain,
product(e_1,e_1,e_2),
inference(subsumption_resolution,[],[f143,f50]) ).
fof(f143,plain,
( ~ product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(resolution,[],[f136,f20]) ).
fof(f20,plain,
! [X2,X3] :
( ~ product(X2,X3,e_3)
| ~ product(X2,X3,e_1) ),
inference(resolution,[],[f15,f9]) ).
fof(f9,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f136,plain,
( product(e_1,e_1,e_3)
| product(e_1,e_1,e_2) ),
inference(subsumption_resolution,[],[f130,f83]) ).
fof(f83,plain,
product(e_2,e_2,e_2),
inference(subsumption_resolution,[],[f82,f4]) ).
fof(f82,plain,
( product(e_1,e_2,e_2)
| product(e_2,e_2,e_2) ),
inference(subsumption_resolution,[],[f80,f4]) ).
fof(f80,plain,
( product(e_3,e_2,e_2)
| product(e_1,e_2,e_2)
| product(e_2,e_2,e_2) ),
inference(resolution,[],[f38,f6]) ).
fof(f6,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
fof(f38,plain,
! [X1] :
( ~ group_element(X1)
| product(e_1,e_2,X1)
| product(e_3,e_2,X1)
| product(e_2,e_2,X1) ),
inference(resolution,[],[f1,f6]) ).
fof(f130,plain,
( product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[],[f113,f28]) ).
fof(f28,plain,
! [X6,X7] :
( ~ product(X6,e_3,X7)
| ~ product(X6,e_2,X7) ),
inference(resolution,[],[f16,f11]) ).
fof(f11,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f16,axiom,
! [X0,X1,X4,X5] :
( equalish(X4,X5)
| ~ product(X0,X4,X1)
| ~ product(X0,X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f113,plain,
( product(e_2,e_3,e_2)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(subsumption_resolution,[],[f105,f85]) ).
fof(f85,plain,
~ product(e_2,e_1,e_2),
inference(resolution,[],[f83,f25]) ).
fof(f25,plain,
! [X0,X1] :
( ~ product(X0,e_2,X1)
| ~ product(X0,e_1,X1) ),
inference(resolution,[],[f16,f8]) ).
fof(f105,plain,
( product(e_1,e_1,e_2)
| product(e_2,e_3,e_2)
| product(e_1,e_1,e_3)
| product(e_2,e_1,e_2) ),
inference(resolution,[],[f102,f57]) ).
fof(f57,plain,
! [X0] :
( ~ product(X0,e_1,e_3)
| product(e_1,e_1,e_2)
| product(X0,e_3,e_2)
| product(e_2,e_1,e_2) ),
inference(resolution,[],[f47,f18]) ).
fof(f18,axiom,
! [X2,X3,X0,X1] :
( ~ product(X2,X1,X3)
| product(X0,X2,X3)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
fof(f47,plain,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_1,e_2) ),
inference(resolution,[],[f37,f6]) ).
fof(f102,plain,
( product(e_2,e_1,e_3)
| product(e_1,e_1,e_3) ),
inference(duplicate_literal_removal,[],[f101]) ).
fof(f101,plain,
( product(e_2,e_1,e_3)
| product(e_1,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_1,e_1,e_3) ),
inference(resolution,[],[f100,f48]) ).
fof(f48,plain,
( product(e_3,e_1,e_3)
| product(e_1,e_1,e_3)
| product(e_2,e_1,e_3) ),
inference(resolution,[],[f37,f7]) ).
fof(f7,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
fof(f100,plain,
! [X0] :
( ~ product(X0,e_1,e_3)
| product(e_1,e_1,e_3)
| product(e_2,e_1,e_3) ),
inference(subsumption_resolution,[],[f96,f26]) ).
fof(f26,plain,
! [X2,X3] :
( ~ product(X2,e_3,X3)
| ~ product(X2,e_1,X3) ),
inference(resolution,[],[f16,f9]) ).
fof(f96,plain,
! [X0] :
( product(X0,e_3,e_3)
| product(e_1,e_1,e_3)
| product(e_2,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[],[f48,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP128-4.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:33:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.50 % (26328)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)
% 0.21/0.51 % (26344)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)
% 0.21/0.51 % (26322)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.51 % (26330)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)
% 0.21/0.51 % (26330)Instruction limit reached!
% 0.21/0.51 % (26330)------------------------------
% 0.21/0.51 % (26330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (26333)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)
% 0.21/0.52 % (26328)First to succeed.
% 0.21/0.52 % (26338)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.52 % (26330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (26330)Termination reason: Unknown
% 0.21/0.52 % (26330)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (26330)Memory used [KB]: 5884
% 0.21/0.52 % (26330)Time elapsed: 0.091 s
% 0.21/0.52 % (26330)Instructions burned: 3 (million)
% 0.21/0.52 % (26330)------------------------------
% 0.21/0.52 % (26330)------------------------------
% 0.21/0.52 % (26326)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)
% 0.21/0.52 % (26338)Refutation not found, incomplete strategy% (26338)------------------------------
% 0.21/0.52 % (26338)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (26338)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (26338)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52
% 0.21/0.52 % (26326)Refutation not found, incomplete strategy% (26326)------------------------------
% 0.21/0.52 % (26326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (26326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (26326)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52
% 0.21/0.52 % (26326)Memory used [KB]: 5756
% 0.21/0.52 % (26326)Time elapsed: 0.114 s
% 0.21/0.52 % (26326)Instructions burned: 1 (million)
% 0.21/0.52 % (26326)------------------------------
% 0.21/0.52 % (26326)------------------------------
% 0.21/0.52 % (26338)Memory used [KB]: 5884
% 0.21/0.52 % (26338)Time elapsed: 0.114 s
% 0.21/0.52 % (26338)Instructions burned: 1 (million)
% 0.21/0.52 % (26338)------------------------------
% 0.21/0.52 % (26338)------------------------------
% 0.21/0.52 % (26325)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)
% 0.21/0.52 % (26325)Refutation not found, incomplete strategy% (26325)------------------------------
% 0.21/0.52 % (26325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (26325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (26325)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52
% 0.21/0.52 % (26325)Memory used [KB]: 5756
% 0.21/0.52 % (26325)Time elapsed: 0.114 s
% 0.21/0.52 % (26325)Instructions burned: 1 (million)
% 0.21/0.52 % (26325)------------------------------
% 0.21/0.52 % (26325)------------------------------
% 0.21/0.53 % (26337)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)
% 0.21/0.53 % (26328)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (26328)------------------------------
% 0.21/0.53 % (26328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (26328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (26328)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (26328)Memory used [KB]: 1407
% 0.21/0.53 % (26328)Time elapsed: 0.106 s
% 0.21/0.53 % (26328)Instructions burned: 11 (million)
% 0.21/0.53 % (26328)------------------------------
% 0.21/0.53 % (26328)------------------------------
% 0.21/0.53 % (26319)Success in time 0.17 s
%------------------------------------------------------------------------------