TSTP Solution File: SEU032+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU032+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n027.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 18:26:24 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 42 ( 14 unt; 0 def)
% Number of atoms : 150 ( 41 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 177 ( 69 ~; 59 |; 34 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 31 ( 28 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f118,plain,
$false,
inference(trivial_inequality_removal,[],[f117]) ).
fof(f117,plain,
identity_relation(relation_rng(sK3)) != identity_relation(relation_rng(sK3)),
inference(forward_demodulation,[],[f116,f103]) ).
fof(f103,plain,
relation_rng(sK3) = relation_dom(function_inverse(sK3)),
inference(unit_resulting_resolution,[],[f91,f92,f93,f96]) ).
fof(f96,plain,
! [X0] :
( ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0)
| relation_rng(X0) = relation_dom(function_inverse(X0)) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ( relation_rng(X0) = relation_dom(function_inverse(X0))
& relation_dom(X0) = relation_rng(function_inverse(X0)) )
| ~ one_to_one(X0) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ( relation_rng(X0) = relation_dom(function_inverse(X0))
& relation_dom(X0) = relation_rng(function_inverse(X0)) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> ( relation_rng(X0) = relation_dom(function_inverse(X0))
& relation_dom(X0) = relation_rng(function_inverse(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_funct_1) ).
fof(f93,plain,
function(sK3),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( function_inverse(function_inverse(sK3)) != sK3
& function(sK3)
& one_to_one(sK3)
& relation(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f62,f69]) ).
fof(f69,plain,
( ? [X0] :
( function_inverse(function_inverse(X0)) != X0
& function(X0)
& one_to_one(X0)
& relation(X0) )
=> ( function_inverse(function_inverse(sK3)) != sK3
& function(sK3)
& one_to_one(sK3)
& relation(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
? [X0] :
( function_inverse(function_inverse(X0)) != X0
& function(X0)
& one_to_one(X0)
& relation(X0) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
? [X0] :
( function_inverse(function_inverse(X0)) != X0
& one_to_one(X0)
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,negated_conjecture,
~ ! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
=> function_inverse(function_inverse(X0)) = X0 ) ),
inference(negated_conjecture,[],[f41]) ).
fof(f41,conjecture,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
=> function_inverse(function_inverse(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_funct_1) ).
fof(f92,plain,
one_to_one(sK3),
inference(cnf_transformation,[],[f70]) ).
fof(f91,plain,
relation(sK3),
inference(cnf_transformation,[],[f70]) ).
fof(f116,plain,
identity_relation(relation_dom(function_inverse(sK3))) != identity_relation(relation_rng(sK3)),
inference(forward_demodulation,[],[f115,f99]) ).
fof(f99,plain,
relation_composition(function_inverse(sK3),sK3) = identity_relation(relation_rng(sK3)),
inference(unit_resulting_resolution,[],[f91,f92,f93,f83]) ).
fof(f83,plain,
! [X0] :
( ~ one_to_one(X0)
| relation_composition(function_inverse(X0),X0) = identity_relation(relation_rng(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ~ function(X0)
| ( relation_composition(function_inverse(X0),X0) = identity_relation(relation_rng(X0))
& relation_composition(X0,function_inverse(X0)) = identity_relation(relation_dom(X0)) )
| ~ relation(X0)
| ~ one_to_one(X0) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ( relation_composition(function_inverse(X0),X0) = identity_relation(relation_rng(X0))
& relation_composition(X0,function_inverse(X0)) = identity_relation(relation_dom(X0)) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> ( relation_composition(function_inverse(X0),X0) = identity_relation(relation_rng(X0))
& relation_composition(X0,function_inverse(X0)) = identity_relation(relation_dom(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_funct_1) ).
fof(f115,plain,
identity_relation(relation_dom(function_inverse(sK3))) != relation_composition(function_inverse(sK3),sK3),
inference(unit_resulting_resolution,[],[f91,f93,f97,f100,f101,f94,f102,f75]) ).
fof(f75,plain,
! [X0,X1] :
( relation_composition(X0,X1) != identity_relation(relation_dom(X0))
| relation_rng(X0) != relation_dom(X1)
| function_inverse(X0) = X1
| ~ function(X1)
| ~ relation(X0)
| ~ function(X0)
| ~ one_to_one(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ! [X1] :
( function_inverse(X0) = X1
| ~ function(X1)
| relation_composition(X0,X1) != identity_relation(relation_dom(X0))
| ~ one_to_one(X0)
| ~ relation(X1)
| relation_rng(X0) != relation_dom(X1) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( function_inverse(X0) = X1
| relation_rng(X0) != relation_dom(X1)
| relation_composition(X0,X1) != identity_relation(relation_dom(X0))
| ~ one_to_one(X0)
| ~ function(X1)
| ~ relation(X1) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( ( relation_rng(X0) = relation_dom(X1)
& relation_composition(X0,X1) = identity_relation(relation_dom(X0))
& one_to_one(X0) )
=> function_inverse(X0) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_funct_1) ).
fof(f102,plain,
relation_rng(function_inverse(sK3)) = relation_dom(sK3),
inference(unit_resulting_resolution,[],[f91,f92,f93,f95]) ).
fof(f95,plain,
! [X0] :
( ~ one_to_one(X0)
| relation_dom(X0) = relation_rng(function_inverse(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f94,plain,
function_inverse(function_inverse(sK3)) != sK3,
inference(cnf_transformation,[],[f70]) ).
fof(f101,plain,
relation(function_inverse(sK3)),
inference(unit_resulting_resolution,[],[f91,f93,f87]) ).
fof(f87,plain,
! [X0] :
( relation(function_inverse(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ~ function(X0)
| ( relation(function_inverse(X0))
& function(function_inverse(X0)) )
| ~ relation(X0) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ( relation(function_inverse(X0))
& function(function_inverse(X0)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( relation(function_inverse(X0))
& function(function_inverse(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_funct_1) ).
fof(f100,plain,
function(function_inverse(sK3)),
inference(unit_resulting_resolution,[],[f91,f93,f86]) ).
fof(f86,plain,
! [X0] :
( function(function_inverse(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f97,plain,
one_to_one(function_inverse(sK3)),
inference(unit_resulting_resolution,[],[f91,f92,f93,f80]) ).
fof(f80,plain,
! [X0] :
( one_to_one(function_inverse(X0))
| ~ function(X0)
| ~ one_to_one(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ~ function(X0)
| ~ one_to_one(X0)
| ~ relation(X0)
| one_to_one(function_inverse(X0)) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0] :
( one_to_one(function_inverse(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> one_to_one(function_inverse(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t62_funct_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU032+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 14:50:31 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.46 % (366)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.46 % (357)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.47 % (366)Instruction limit reached!
% 0.19/0.47 % (366)------------------------------
% 0.19/0.47 % (366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (366)Termination reason: Unknown
% 0.19/0.47 % (366)Termination phase: Saturation
% 0.19/0.47
% 0.19/0.47 % (366)Memory used [KB]: 5884
% 0.19/0.47 % (366)Time elapsed: 0.003 s
% 0.19/0.47 % (366)Instructions burned: 2 (million)
% 0.19/0.47 % (366)------------------------------
% 0.19/0.47 % (366)------------------------------
% 0.19/0.49 % (357)Instruction limit reached!
% 0.19/0.49 % (357)------------------------------
% 0.19/0.49 % (357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (357)Termination reason: Unknown
% 0.19/0.49 % (357)Termination phase: Saturation
% 0.19/0.49
% 0.19/0.49 % (357)Memory used [KB]: 6396
% 0.19/0.49 % (357)Time elapsed: 0.094 s
% 0.19/0.49 % (357)Instructions burned: 34 (million)
% 0.19/0.49 % (357)------------------------------
% 0.19/0.49 % (357)------------------------------
% 0.19/0.50 % (354)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)
% 0.19/0.50 % (354)Refutation not found, incomplete strategy% (354)------------------------------
% 0.19/0.50 % (354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (354)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (354)Memory used [KB]: 6012
% 0.19/0.50 % (354)Time elapsed: 0.073 s
% 0.19/0.50 % (354)Instructions burned: 3 (million)
% 0.19/0.50 % (354)------------------------------
% 0.19/0.50 % (354)------------------------------
% 0.19/0.50 % (370)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)
% 0.19/0.51 % (349)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51 % (348)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.51 % (362)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)
% 0.19/0.51 % (362)Instruction limit reached!
% 0.19/0.51 % (362)------------------------------
% 0.19/0.51 % (362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (362)Termination reason: Unknown
% 0.19/0.51 % (362)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (362)Memory used [KB]: 6012
% 0.19/0.51 % (362)Time elapsed: 0.088 s
% 0.19/0.51 % (362)Instructions burned: 4 (million)
% 0.19/0.51 % (362)------------------------------
% 0.19/0.51 % (362)------------------------------
% 0.19/0.52 % (351)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (351)First to succeed.
% 0.19/0.52 % (350)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (355)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)
% 0.19/0.52 % (368)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.52 % (352)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52 % (352)Refutation not found, incomplete strategy% (352)------------------------------
% 0.19/0.52 % (352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (352)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (352)Memory used [KB]: 6012
% 0.19/0.52 % (352)Time elapsed: 0.125 s
% 0.19/0.52 % (352)Instructions burned: 2 (million)
% 0.19/0.52 % (352)------------------------------
% 0.19/0.52 % (352)------------------------------
% 0.19/0.52 % (365)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (365)Instruction limit reached!
% 0.19/0.52 % (365)------------------------------
% 0.19/0.52 % (365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (365)Termination reason: Unknown
% 0.19/0.52 % (365)Termination phase: Finite model building preprocessing
% 0.19/0.52
% 0.19/0.52 % (365)Memory used [KB]: 1407
% 0.19/0.52 % (365)Time elapsed: 0.002 s
% 0.19/0.52 % (365)Instructions burned: 3 (million)
% 0.19/0.52 % (365)------------------------------
% 0.19/0.52 % (365)------------------------------
% 0.19/0.53 % (351)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (351)------------------------------
% 0.19/0.53 % (351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (351)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (351)Memory used [KB]: 6012
% 0.19/0.53 % (351)Time elapsed: 0.126 s
% 0.19/0.53 % (351)Instructions burned: 2 (million)
% 0.19/0.53 % (351)------------------------------
% 0.19/0.53 % (351)------------------------------
% 0.19/0.53 % (347)Success in time 0.182 s
%------------------------------------------------------------------------------