TSTP Solution File: GRP125-1.003 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP125-1.003 : 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 : n018.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 16:14:21 EDT 2022
% Result : Unsatisfiable 0.20s 0.59s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 43 ( 12 unt; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 91 ( 38 ~; 50 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f139,plain,
$false,
inference(avatar_sat_refutation,[],[f98,f106,f113,f138]) ).
fof(f138,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f137]) ).
fof(f137,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f136,f8]) ).
fof(f8,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
fof(f136,plain,
( equalish(e_3,e_1)
| ~ spl0_1 ),
inference(resolution,[],[f114,f16]) ).
fof(f16,plain,
! [X0,X1] :
( ~ product(X1,X1,X0)
| equalish(X0,X1) ),
inference(resolution,[],[f11,f14]) ).
fof(f14,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).
fof(f11,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| equalish(X2,X3)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
fof(f114,plain,
( product(e_1,e_1,e_3)
| ~ spl0_1 ),
inference(resolution,[],[f89,f72]) ).
fof(f72,plain,
! [X0] :
( ~ product(e_3,e_2,X0)
| product(X0,e_1,e_3) ),
inference(resolution,[],[f71,f15]) ).
fof(f15,axiom,
! [X0,X1,X4,X5] :
( ~ product(X1,X0,X5)
| ~ product(X0,X1,X4)
| product(X4,X5,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
fof(f71,plain,
product(e_2,e_3,e_1),
inference(subsumption_resolution,[],[f70,f9]) ).
fof(f9,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
fof(f70,plain,
( equalish(e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(subsumption_resolution,[],[f69,f7]) ).
fof(f7,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f69,plain,
( product(e_2,e_3,e_1)
| equalish(e_2,e_3)
| equalish(e_3,e_2) ),
inference(subsumption_resolution,[],[f66,f2]) ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
fof(f66,plain,
( ~ group_element(e_2)
| equalish(e_2,e_3)
| product(e_2,e_3,e_1)
| equalish(e_3,e_2) ),
inference(resolution,[],[f34,f18]) ).
fof(f18,plain,
! [X0,X1] :
( ~ product(X0,X1,X0)
| equalish(X1,X0) ),
inference(resolution,[],[f12,f14]) ).
fof(f12,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X3,X1)
| ~ product(X0,X2,X1)
| equalish(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f34,plain,
! [X13] :
( product(X13,e_3,e_2)
| product(X13,e_3,e_1)
| equalish(X13,e_3)
| ~ group_element(X13) ),
inference(subsumption_resolution,[],[f29,f3]) ).
fof(f3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
fof(f29,plain,
! [X13] :
( equalish(X13,e_3)
| product(X13,e_3,e_2)
| ~ group_element(X13)
| ~ group_element(e_3)
| product(X13,e_3,e_1) ),
inference(resolution,[],[f10,f20]) ).
fof(f20,plain,
! [X0,X1] :
( ~ product(X0,X1,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f13,f14]) ).
fof(f13,axiom,
! [X2,X3,X0,X1] :
( ~ product(X3,X1,X0)
| ~ product(X2,X1,X0)
| equalish(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f10,axiom,
! [X0,X1] :
( product(X0,X1,e_3)
| ~ group_element(X0)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
fof(f89,plain,
( product(e_3,e_2,e_1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl0_1
<=> product(e_3,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f113,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f112]) ).
fof(f112,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f111,f5]) ).
fof(f5,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f111,plain,
( equalish(e_1,e_3)
| ~ spl0_3 ),
inference(resolution,[],[f97,f18]) ).
fof(f97,plain,
( product(e_3,e_1,e_3)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl0_3
<=> product(e_3,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f106,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f105]) ).
fof(f105,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f104,f9]) ).
fof(f104,plain,
( equalish(e_3,e_2)
| ~ spl0_2 ),
inference(resolution,[],[f93,f20]) ).
fof(f93,plain,
( product(e_3,e_2,e_2)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl0_2
<=> product(e_3,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f98,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f85,f95,f91,f87]) ).
fof(f85,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(subsumption_resolution,[],[f84,f3]) ).
fof(f84,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| ~ group_element(e_3)
| product(e_3,e_1,e_3) ),
inference(subsumption_resolution,[],[f83,f2]) ).
fof(f83,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3) ),
inference(resolution,[],[f72,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP125-1.003 : TPTP v8.1.0. Released v1.2.0.
% 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
% 0.13/0.34 % Computer : n018.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:17:24 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.56 % (10511)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.56 % (10520)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)
% 0.20/0.57 % (10519)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)
% 0.20/0.57 % (10536)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.20/0.57 % (10528)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.57 % (10527)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)
% 0.20/0.57 % (10517)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)
% 0.20/0.57 % (10535)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.58 % (10536)Refutation not found, incomplete strategy% (10536)------------------------------
% 0.20/0.58 % (10536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (10515)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)
% 0.20/0.58 % (10536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (10536)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.58
% 0.20/0.58 % (10536)Memory used [KB]: 5756
% 0.20/0.58 % (10536)Time elapsed: 0.157 s
% 0.20/0.58 % (10536)Instructions burned: 1 (million)
% 0.20/0.58 % (10536)------------------------------
% 0.20/0.58 % (10536)------------------------------
% 0.20/0.58 % (10515)Refutation not found, incomplete strategy% (10515)------------------------------
% 0.20/0.58 % (10515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (10515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (10515)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.58
% 0.20/0.58 % (10515)Memory used [KB]: 5756
% 0.20/0.58 % (10515)Time elapsed: 0.160 s
% 0.20/0.58 % (10515)Instructions burned: 1 (million)
% 0.20/0.58 % (10515)------------------------------
% 0.20/0.58 % (10515)------------------------------
% 0.20/0.58 % (10528)First to succeed.
% 0.20/0.58 % (10526)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)
% 0.20/0.59 Detected maximum model sizes of [3]
% 0.20/0.59 TRYING [1]
% 0.20/0.59 TRYING [2]
% 0.20/0.59 TRYING [3]
% 0.20/0.59 % (10528)Refutation found. Thanks to Tanya!
% 0.20/0.59 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.59 % (10528)------------------------------
% 0.20/0.59 % (10528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (10528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (10528)Termination reason: Refutation
% 0.20/0.59
% 0.20/0.59 % (10528)Memory used [KB]: 5884
% 0.20/0.59 % (10528)Time elapsed: 0.162 s
% 0.20/0.59 % (10528)Instructions burned: 6 (million)
% 0.20/0.59 % (10528)------------------------------
% 0.20/0.59 % (10528)------------------------------
% 0.20/0.59 % (10510)Success in time 0.232 s
%------------------------------------------------------------------------------