TSTP Solution File: GRP703+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP703+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n028.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 16:18:21 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 43 ( 22 unt; 0 def)
% Number of atoms : 76 ( 54 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 62 ( 29 ~; 23 |; 6 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 45 ( 39 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f256,plain,
$false,
inference(avatar_sat_refutation,[],[f51,f247,f251,f254]) ).
fof(f254,plain,
spl2_3,
inference(avatar_contradiction_clause,[],[f253]) ).
fof(f253,plain,
( $false
| spl2_3 ),
inference(subsumption_resolution,[],[f252,f37]) ).
fof(f37,plain,
! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(mult(X0,X1),op_c),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(mult(X0,X1),op_c),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] : mult(X1,mult(X0,op_c)) = mult(mult(X1,X0),op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f09) ).
fof(f252,plain,
( mult(sK1,mult(sK0,op_c)) != mult(mult(sK1,sK0),op_c)
| spl2_3 ),
inference(forward_demodulation,[],[f50,f180]) ).
fof(f180,plain,
op_c = op_e,
inference(superposition,[],[f76,f34]) ).
fof(f34,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
inference(rectify,[],[f19]) ).
fof(f19,plain,
! [X1,X0] : mult(rd(X0,X1),X1) = X0,
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] : mult(rd(X1,X0),X0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f76,plain,
! [X0] : op_e = mult(rd(op_c,mult(X0,op_c)),mult(op_c,X0)),
inference(superposition,[],[f38,f35]) ).
fof(f35,plain,
! [X0,X1] : mult(mult(X0,op_c),X1) = mult(X0,mult(op_c,X1)),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] : mult(mult(X0,op_c),X1) = mult(X0,mult(op_c,X1)),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] : mult(X1,mult(op_c,X0)) = mult(mult(X1,op_c),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f10) ).
fof(f38,plain,
! [X0,X1] : op_e = mult(mult(rd(op_c,mult(X0,X1)),X1),X0),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] : op_e = mult(mult(rd(op_c,mult(X0,X1)),X1),X0),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X0] : op_e = mult(mult(rd(op_c,mult(X1,X0)),X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f12) ).
fof(f50,plain,
( mult(mult(sK1,sK0),op_e) != mult(sK1,mult(sK0,op_e))
| spl2_3 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f48,plain,
( spl2_3
<=> mult(mult(sK1,sK0),op_e) = mult(sK1,mult(sK0,op_e)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f251,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f250]) ).
fof(f250,plain,
( $false
| spl2_2 ),
inference(subsumption_resolution,[],[f249,f36]) ).
fof(f36,plain,
! [X0,X1] : mult(mult(op_c,X0),X1) = mult(op_c,mult(X0,X1)),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] : mult(mult(op_c,X0),X1) = mult(op_c,mult(X0,X1)),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] : mult(op_c,mult(X1,X0)) = mult(mult(op_c,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).
fof(f249,plain,
( mult(op_c,mult(sK1,sK0)) != mult(mult(op_c,sK1),sK0)
| spl2_2 ),
inference(forward_demodulation,[],[f46,f180]) ).
fof(f46,plain,
( mult(op_e,mult(sK1,sK0)) != mult(mult(op_e,sK1),sK0)
| spl2_2 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f44,plain,
( spl2_2
<=> mult(op_e,mult(sK1,sK0)) = mult(mult(op_e,sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f247,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f246]) ).
fof(f246,plain,
( $false
| spl2_1 ),
inference(subsumption_resolution,[],[f245,f35]) ).
fof(f245,plain,
( mult(sK1,mult(op_c,sK0)) != mult(mult(sK1,op_c),sK0)
| spl2_1 ),
inference(backward_demodulation,[],[f42,f180]) ).
fof(f42,plain,
( mult(mult(sK1,op_e),sK0) != mult(sK1,mult(op_e,sK0))
| spl2_1 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f40,plain,
( spl2_1
<=> mult(mult(sK1,op_e),sK0) = mult(sK1,mult(op_e,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f51,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f31,f48,f44,f40]) ).
fof(f31,plain,
( mult(mult(sK1,sK0),op_e) != mult(sK1,mult(sK0,op_e))
| mult(op_e,mult(sK1,sK0)) != mult(mult(op_e,sK1),sK0)
| mult(mult(sK1,op_e),sK0) != mult(sK1,mult(op_e,sK0)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
( mult(op_e,mult(sK1,sK0)) != mult(mult(op_e,sK1),sK0)
| mult(mult(sK1,sK0),op_e) != mult(sK1,mult(sK0,op_e))
| mult(mult(sK1,op_e),sK0) != mult(sK1,mult(op_e,sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f25,f26]) ).
fof(f26,plain,
( ? [X0,X1] :
( mult(mult(op_e,X1),X0) != mult(op_e,mult(X1,X0))
| mult(mult(X1,X0),op_e) != mult(X1,mult(X0,op_e))
| mult(X1,mult(op_e,X0)) != mult(mult(X1,op_e),X0) )
=> ( mult(op_e,mult(sK1,sK0)) != mult(mult(op_e,sK1),sK0)
| mult(mult(sK1,sK0),op_e) != mult(sK1,mult(sK0,op_e))
| mult(mult(sK1,op_e),sK0) != mult(sK1,mult(op_e,sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
? [X0,X1] :
( mult(mult(op_e,X1),X0) != mult(op_e,mult(X1,X0))
| mult(mult(X1,X0),op_e) != mult(X1,mult(X0,op_e))
| mult(X1,mult(op_e,X0)) != mult(mult(X1,op_e),X0) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
? [X1,X0] :
( mult(op_e,mult(X0,X1)) != mult(mult(op_e,X0),X1)
| mult(X0,mult(X1,op_e)) != mult(mult(X0,X1),op_e)
| mult(mult(X0,op_e),X1) != mult(X0,mult(op_e,X1)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
~ ! [X0,X1] :
( mult(op_e,mult(X0,X1)) = mult(mult(op_e,X0),X1)
& mult(mult(X0,op_e),X1) = mult(X0,mult(op_e,X1))
& mult(X0,mult(X1,op_e)) = mult(mult(X0,X1),op_e) ),
inference(rectify,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X3,X4] :
( mult(X3,mult(X4,op_e)) = mult(mult(X3,X4),op_e)
& mult(op_e,mult(X3,X4)) = mult(mult(op_e,X3),X4)
& mult(X3,mult(op_e,X4)) = mult(mult(X3,op_e),X4) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X3,X4] :
( mult(X3,mult(X4,op_e)) = mult(mult(X3,X4),op_e)
& mult(op_e,mult(X3,X4)) = mult(mult(op_e,X3),X4)
& mult(X3,mult(op_e,X4)) = mult(mult(X3,op_e),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP703+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % 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 : n028.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 22:55:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.52 % (13304)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.52 % (13321)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (13305)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.53 % (13305)Refutation not found, incomplete strategy% (13305)------------------------------
% 0.20/0.53 % (13305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (13313)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (13305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (13305)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (13305)Memory used [KB]: 5884
% 0.20/0.53 % (13305)Time elapsed: 0.106 s
% 0.20/0.53 % (13305)Instructions burned: 2 (million)
% 0.20/0.53 % (13305)------------------------------
% 0.20/0.53 % (13305)------------------------------
% 0.20/0.53 % (13311)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53 % (13303)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53 % (13321)Refutation not found, incomplete strategy% (13321)------------------------------
% 0.20/0.53 % (13321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (13313)Refutation not found, incomplete strategy% (13313)------------------------------
% 0.20/0.53 % (13313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (13321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (13321)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (13321)Memory used [KB]: 5884
% 0.20/0.53 % (13321)Time elapsed: 0.110 s
% 0.20/0.53 % (13321)Instructions burned: 3 (million)
% 0.20/0.53 % (13321)------------------------------
% 0.20/0.53 % (13321)------------------------------
% 0.20/0.53 % (13313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (13313)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (13313)Memory used [KB]: 6012
% 0.20/0.53 % (13313)Time elapsed: 0.109 s
% 0.20/0.53 % (13313)Instructions burned: 2 (million)
% 0.20/0.53 % (13313)------------------------------
% 0.20/0.53 % (13313)------------------------------
% 0.20/0.53 % (13304)Refutation not found, incomplete strategy% (13304)------------------------------
% 0.20/0.53 % (13304)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (13304)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (13304)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (13304)Memory used [KB]: 5884
% 0.20/0.53 % (13304)Time elapsed: 0.112 s
% 0.20/0.53 % (13304)Instructions burned: 2 (million)
% 0.20/0.53 % (13304)------------------------------
% 0.20/0.53 % (13304)------------------------------
% 0.20/0.53 % (13319)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.54 % (13303)First to succeed.
% 0.20/0.54 % (13320)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.54 % (13312)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (13312)Instruction limit reached!
% 0.20/0.55 % (13312)------------------------------
% 0.20/0.55 % (13312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (13311)Instruction limit reached!
% 0.20/0.55 % (13311)------------------------------
% 0.20/0.55 % (13311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (13311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (13311)Termination reason: Unknown
% 0.20/0.55 % (13311)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (13311)Memory used [KB]: 5884
% 0.20/0.55 % (13311)Time elapsed: 0.137 s
% 0.20/0.55 % (13311)Instructions burned: 3 (million)
% 0.20/0.55 % (13311)------------------------------
% 0.20/0.55 % (13311)------------------------------
% 0.20/0.55 % (13320)Also succeeded, but the first one will report.
% 0.20/0.55 % (13303)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (13303)------------------------------
% 0.20/0.55 % (13303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (13303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (13303)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (13303)Memory used [KB]: 6140
% 0.20/0.55 % (13303)Time elapsed: 0.116 s
% 0.20/0.55 % (13303)Instructions burned: 12 (million)
% 0.20/0.55 % (13303)------------------------------
% 0.20/0.55 % (13303)------------------------------
% 0.20/0.55 % (13296)Success in time 0.191 s
%------------------------------------------------------------------------------