TSTP Solution File: SEU140+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU140+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May 5 09:27:20 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 7 unt; 0 def)
% Number of atoms : 56 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 48 ( 18 ~; 11 |; 13 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 37 ( 28 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f177,plain,
$false,
inference(subsumption_resolution,[],[f175,f40]) ).
fof(f40,plain,
~ disjoint(sK0,sK2),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( ~ disjoint(sK0,sK2)
& disjoint(sK1,sK2)
& subset(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f25,f31]) ).
fof(f31,plain,
( ? [X0,X1,X2] :
( ~ disjoint(X0,X2)
& disjoint(X1,X2)
& subset(X0,X1) )
=> ( ~ disjoint(sK0,sK2)
& disjoint(sK1,sK2)
& subset(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
? [X0,X1,X2] :
( ~ disjoint(X0,X2)
& disjoint(X1,X2)
& subset(X0,X1) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
? [X0,X1,X2] :
( ~ disjoint(X0,X2)
& disjoint(X1,X2)
& subset(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X2] :
( ( disjoint(X1,X2)
& subset(X0,X1) )
=> disjoint(X0,X2) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0,X1,X2] :
( ( disjoint(X1,X2)
& subset(X0,X1) )
=> disjoint(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_xboole_1) ).
fof(f175,plain,
disjoint(sK0,sK2),
inference(trivial_inequality_removal,[],[f174]) ).
fof(f174,plain,
( empty_set != empty_set
| disjoint(sK0,sK2) ),
inference(superposition,[],[f50,f168]) ).
fof(f168,plain,
empty_set = set_intersection2(sK0,sK2),
inference(resolution,[],[f125,f38]) ).
fof(f38,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f32]) ).
fof(f125,plain,
! [X0] :
( ~ subset(X0,sK1)
| empty_set = set_intersection2(X0,sK2) ),
inference(resolution,[],[f103,f44]) ).
fof(f44,plain,
! [X0] :
( ~ subset(X0,empty_set)
| empty_set = X0 ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( empty_set = X0
| ~ subset(X0,empty_set) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( subset(X0,empty_set)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_1) ).
fof(f103,plain,
! [X0] :
( subset(set_intersection2(X0,sK2),empty_set)
| ~ subset(X0,sK1) ),
inference(superposition,[],[f52,f72]) ).
fof(f72,plain,
empty_set = set_intersection2(sK1,sK2),
inference(resolution,[],[f49,f39]) ).
fof(f39,plain,
disjoint(sK1,sK2),
inference(cnf_transformation,[],[f32]) ).
fof(f49,plain,
! [X0,X1] :
( ~ disjoint(X0,X1)
| set_intersection2(X0,X1) = empty_set ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ( disjoint(X0,X1)
| set_intersection2(X0,X1) != empty_set )
& ( set_intersection2(X0,X1) = empty_set
| ~ disjoint(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( disjoint(X0,X1)
<=> set_intersection2(X0,X1) = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_xboole_0) ).
fof(f52,plain,
! [X2,X0,X1] :
( subset(set_intersection2(X0,X2),set_intersection2(X1,X2))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( subset(set_intersection2(X0,X2),set_intersection2(X1,X2))
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2] :
( subset(X0,X1)
=> subset(set_intersection2(X0,X2),set_intersection2(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_xboole_1) ).
fof(f50,plain,
! [X0,X1] :
( set_intersection2(X0,X1) != empty_set
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU140+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n013.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 : Fri May 3 11:01:19 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % (18676)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.35 % (18680)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.35 % (18681)WARNING: value z3 for option sas not known
% 0.13/0.35 % (18681)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 TRYING [3]
% 0.13/0.36 % (18681)First to succeed.
% 0.13/0.36 TRYING [4]
% 0.13/0.36 % (18681)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18676"
% 0.13/0.36 % (18681)Refutation found. Thanks to Tanya!
% 0.13/0.36 % SZS status Theorem for theBenchmark
% 0.13/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.36 % (18681)------------------------------
% 0.13/0.36 % (18681)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36 % (18681)Termination reason: Refutation
% 0.13/0.36
% 0.13/0.36 % (18681)Memory used [KB]: 837
% 0.13/0.36 % (18681)Time elapsed: 0.005 s
% 0.13/0.36 % (18681)Instructions burned: 7 (million)
% 0.13/0.36 % (18676)Success in time 0.006 s
%------------------------------------------------------------------------------