%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV377+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:47:32 PM UTC 2026
% Result : Theorem 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 38 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 15 ~; 7 |; 5 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 51 ( 43 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28,axiom,
! [U,V] :
( ok(triple(U,V,bad))
<=> $false ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [U,V,W] :
( ~ ok(triple(U,V,W))
=> W = bad ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [U,V,W,X] : insert_cpq(triple(U,V,W),X) = triple(insert_pqp(U,X),insert_slb(V,pair(X,bottom)),W),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,conjecture,
! [U,V,W,X] :
( ~ ok(triple(U,V,W))
=> ~ ok(insert_cpq(triple(U,V,W),X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
~ ! [U,V,W,X] :
( ~ ok(triple(U,V,W))
=> ~ ok(insert_cpq(triple(U,V,W),X)) ),
inference(negated_conjecture,[status(cth)],[f42]) ).
fof(f111,plain,
! [U,V] :
( ( $true
| ok(triple(U,V,bad)) )
& ( $false
| ~ ok(triple(U,V,bad)) ) ),
inference(NNF_transformation,[status(thm)],[f28]) ).
fof(f112,plain,
( ( $true
| ! [U,V] : ok(triple(U,V,bad)) )
& ( $false
| ! [U,V] : ~ ok(triple(U,V,bad)) ) ),
inference(miniscoping,[status(thm)],[f111]) ).
fof(f113,plain,
! [U,V] : ~ ok(triple(U,V,bad)),
inference(true_and_false_simplification,[status(thm)],[f112]) ).
fof(f114,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f115,plain,
! [U,V,W] :
( W = bad
| ok(triple(U,V,W)) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f116,plain,
! [W] :
( W = bad
| ! [U,V] : ok(triple(U,V,W)) ),
inference(miniscoping,[status(thm)],[f115]) ).
fof(f117,plain,
! [X0,X1,X2] :
( X2 = bad
| ok(triple(X0,X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f116]) ).
fof(f118,plain,
! [X0,X1,X2,X3] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f144,plain,
? [U,V,W,X] :
( ok(insert_cpq(triple(U,V,W),X))
& ~ ok(triple(U,V,W)) ),
inference(pre_NNF_transformation,[status(thm)],[f43]) ).
fof(f145,plain,
? [U,V,W] :
( ? [X] : ok(insert_cpq(triple(U,V,W),X))
& ~ ok(triple(U,V,W)) ),
inference(miniscoping,[status(thm)],[f144]) ).
fof(f146,plain,
( ok(insert_cpq(triple(sK0_skl,sK1_skl,sK2_skl),sK3_skl))
& ~ ok(triple(sK0_skl,sK1_skl,sK2_skl)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(U,sK0_skl),skolemize(V,sK1_skl),skolemize(W,sK2_skl),skolemize(X,sK3_skl)],[f145]) ).
fof(f147,plain,
~ ok(triple(sK0_skl,sK1_skl,sK2_skl)),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f148,plain,
ok(insert_cpq(triple(sK0_skl,sK1_skl,sK2_skl),sK3_skl)),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f151,plain,
sK2_skl = bad,
inference(resolution,[status(thm)],[f117,f147]) ).
fof(f153,plain,
ok(insert_cpq(triple(sK0_skl,sK1_skl,bad),sK3_skl)),
inference(backward_demodulation,[status(thm)],[f151,f148]) ).
fof(f215,plain,
! [X0,X1,X2] : ~ ok(insert_cpq(triple(X0,X1,bad),X2)),
inference(paramodulation,[status(thm)],[f118,f114]) ).
fof(f223,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f153,f215]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV377+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n003.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 08:45:15 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.060508 seconds
% 0.14/0.42 % CPU time: 0.168874 seconds
% 0.14/0.42 % Total memory used: 103.484 MB
% 0.14/0.42 % Net memory used: 103.390 MB
%------------------------------------------------------------------------------