%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : COL089-2 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 12:08:43 PM UTC 2026
% Result : Unsatisfiable 0.24s 1.25s
% Output : CNFRefutation 4.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 44 ( 15 unt; 3 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 95 ( 48 ~; 44 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f153,axiom,
! [P,Q] :
( member(comb_app(P,Q),comb)
| ~ member(Q,comb)
| ~ member(P,comb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f154,axiom,
! [A] :
( member(pair(A,A),rtrancl(contract))
| ~ member(A,comb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f177,axiom,
! [P3,Q3,R3,C] :
( member(pair(comb_app(R3,P3),C),rtrancl(contract))
| ~ member(pair(comb_app(R3,Q3),C),rtrancl(contract))
| ~ member(R3,comb)
| ~ member(pair(P3,Q3),contract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f178,axiom,
! [R] : trans(rtrancl(R)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f179,axiom,
! [R,A,B,C] :
( member(pair(A,C),R)
| ~ member(pair(B,C),R)
| ~ member(pair(A,B),R)
| ~ trans(R) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f180,axiom,
! [A,B] :
( member(B,comb)
| ~ member(pair(A,B),contract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f181,hypothesis,
member(r,comb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f184,hypothesis,
member(pair(y,z),contract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f185,hypothesis,
member(pair(comb_app(r,p),comb_app(r,y)),rtrancl(contract)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f186,negated_conjecture,
~ member(pair(comb_app(r,p),comb_app(r,z)),rtrancl(contract)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f406,plain,
! [X0,X1] :
( member(comb_app(X0,X1),comb)
| ~ member(X1,comb)
| ~ member(X0,comb) ),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f407,plain,
! [X0] :
( member(pair(X0,X0),rtrancl(contract))
| ~ member(X0,comb) ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f437,plain,
! [P3,R3,C] :
( member(pair(comb_app(R3,P3),C),rtrancl(contract))
| ! [Q3] :
( ~ member(pair(comb_app(R3,Q3),C),rtrancl(contract))
| ~ member(R3,comb)
| ~ member(pair(P3,Q3),contract) ) ),
inference(miniscoping,[status(thm)],[f177]) ).
fof(f438,plain,
! [X0,X1,X2,X3] :
( member(pair(comb_app(X2,X0),X3),rtrancl(contract))
| ~ member(pair(comb_app(X2,X1),X3),rtrancl(contract))
| ~ member(X2,comb)
| ~ member(pair(X0,X1),contract) ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f439,plain,
! [X0] : trans(rtrancl(X0)),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f440,plain,
! [R,A,C] :
( member(pair(A,C),R)
| ! [B] :
( ~ member(pair(B,C),R)
| ~ member(pair(A,B),R)
| ~ trans(R) ) ),
inference(miniscoping,[status(thm)],[f179]) ).
fof(f441,plain,
! [X0,X1,X2,X3] :
( member(pair(X1,X3),X0)
| ~ member(pair(X2,X3),X0)
| ~ member(pair(X1,X2),X0)
| ~ trans(X0) ),
inference(cnf_transformation,[status(thm)],[f440]) ).
fof(f442,plain,
! [B] :
( member(B,comb)
| ! [A] : ~ member(pair(A,B),contract) ),
inference(miniscoping,[status(thm)],[f180]) ).
fof(f443,plain,
! [X0,X1] :
( member(X1,comb)
| ~ member(pair(X0,X1),contract) ),
inference(cnf_transformation,[status(thm)],[f442]) ).
fof(f444,plain,
member(r,comb),
inference(cnf_transformation,[status(thm)],[f181]) ).
fof(f447,plain,
member(pair(y,z),contract),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f448,plain,
member(pair(comb_app(r,p),comb_app(r,y)),rtrancl(contract)),
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f449,plain,
~ member(pair(comb_app(r,p),comb_app(r,z)),rtrancl(contract)),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f459,plain,
! [X0,X1] :
( member(pair(comb_app(X0,y),X1),rtrancl(contract))
| ~ member(pair(comb_app(X0,z),X1),rtrancl(contract))
| ~ member(X0,comb) ),
inference(resolution,[status(thm)],[f438,f447]) ).
fof(f552,plain,
member(z,comb),
inference(resolution,[status(thm)],[f443,f447]) ).
fof(f709,plain,
! [X0,X1,X2,X3] :
( member(pair(X0,X3),rtrancl(X2))
| ~ member(pair(X1,X3),rtrancl(X2))
| ~ member(pair(X0,X1),rtrancl(X2)) ),
inference(resolution,[status(thm)],[f439,f441]) ).
fof(f710,plain,
! [X0] :
( ~ member(pair(X0,comb_app(r,z)),rtrancl(contract))
| ~ member(pair(comb_app(r,p),X0),rtrancl(contract)) ),
inference(resolution,[status(thm)],[f709,f449]) ).
fof(f730,plain,
~ member(pair(comb_app(r,y),comb_app(r,z)),rtrancl(contract)),
inference(resolution,[status(thm)],[f710,f448]) ).
fof(f740,plain,
( ~ member(pair(comb_app(r,z),comb_app(r,z)),rtrancl(contract))
| ~ member(r,comb) ),
inference(resolution,[status(thm)],[f730,f459]) ).
fof(f742,definition,
( sQ17_spl
<=> member(r,comb) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f744,plain,
( sQ17_spl
| ~ member(r,comb) ),
inference(component_clause,[status(thm)],[f742]) ).
fof(f745,definition,
( sQ18_spl
<=> member(pair(comb_app(r,z),comb_app(r,z)),rtrancl(contract)) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f747,plain,
( sQ18_spl
| ~ member(pair(comb_app(r,z),comb_app(r,z)),rtrancl(contract)) ),
inference(component_clause,[status(thm)],[f745]) ).
fof(f748,plain,
( ~ sQ18_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f740,f742,f745]) ).
fof(f749,plain,
( sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f744,f444]) ).
fof(f750,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f749]) ).
fof(f751,plain,
( sQ18_spl
| ~ member(comb_app(r,z),comb) ),
inference(resolution,[status(thm)],[f747,f407]) ).
fof(f753,plain,
( sQ18_spl
| ~ member(z,comb)
| ~ member(r,comb) ),
inference(resolution,[status(thm)],[f751,f406]) ).
fof(f754,definition,
( sQ19_spl
<=> member(z,comb) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f756,plain,
( sQ19_spl
| ~ member(z,comb) ),
inference(component_clause,[status(thm)],[f754]) ).
fof(f757,plain,
( sQ18_spl
| ~ sQ19_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f753,f742,f754,f745]) ).
fof(f758,plain,
( sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f756,f552]) ).
fof(f759,plain,
sQ19_spl,
inference(contradiction_clause,[status(thm)],[f758]) ).
fof(f760,plain,
$false,
inference(sat_refutation,[status(thm)],[f748,f750,f757,f759]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : COL089-2 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n014.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 14:10:05 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.51 % Drodi V4.1.1
% 0.24/1.25 % Refutation found
% 0.24/1.25 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.24/1.25 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.90/1.32 % Elapsed time: 0.834996 seconds
% 4.90/1.32 % CPU time: 5.946515 seconds
% 4.90/1.32 % Total memory used: 138.868 MB
% 4.90/1.32 % Net memory used: 130.690 MB
%------------------------------------------------------------------------------