%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ131+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 02:00:08 PM UTC 2026
% Result : Theorem 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of formulae : 46 ( 15 unt; 6 def)
% Number of atoms : 101 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 98 ( 43 ~; 42 |; 1 &)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 7 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
student(michael),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
course(csc410),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A] :
( course(A)
=> professor(coordinatorof(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] :
( course(X)
=> teaches(coordinatorof(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X,Y] :
( ( course(Y)
& student(X) )
=> ( enrolled(X,Y)
=> ! [Z] :
( professor(Z)
=> ( teaches(Z,Y)
=> taughtby(X,Z) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
enrolled(michael,csc410),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
coordinatorof(csc410) = victor,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,conjecture,
taughtby(michael,victor),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
~ taughtby(michael,victor),
inference(negated_conjecture,[status(cth)],[f16]) ).
fof(f24,plain,
student(michael),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f26,plain,
course(csc410),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f27,plain,
! [A] :
( professor(coordinatorof(A))
| ~ course(A) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f28,plain,
! [X0] :
( professor(coordinatorof(X0))
| ~ course(X0) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f45,plain,
! [X] :
( teaches(coordinatorof(X),X)
| ~ course(X) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f46,plain,
! [X0] :
( teaches(coordinatorof(X0),X0)
| ~ course(X0) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f47,plain,
! [X,Y] :
( ! [Z] :
( taughtby(X,Z)
| ~ teaches(Z,Y)
| ~ professor(Z) )
| ~ enrolled(X,Y)
| ~ course(Y)
| ~ student(X) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f48,plain,
! [X0,X1,X2] :
( taughtby(X0,X2)
| ~ teaches(X2,X1)
| ~ professor(X2)
| ~ enrolled(X0,X1)
| ~ course(X1)
| ~ student(X0) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f49,plain,
enrolled(michael,csc410),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f50,plain,
coordinatorof(csc410) = victor,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f51,plain,
~ taughtby(michael,victor),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f52,plain,
( professor(victor)
| ~ course(csc410) ),
inference(paramodulation,[status(thm)],[f50,f28]) ).
fof(f53,definition,
( sQ0_spl
<=> course(csc410) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f55,plain,
( sQ0_spl
| ~ course(csc410) ),
inference(component_clause,[status(thm)],[f53]) ).
fof(f56,definition,
( sQ1_spl
<=> professor(victor) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f59,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f52,f53,f56]) ).
fof(f60,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f55,f26]) ).
fof(f61,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f60]) ).
fof(f62,plain,
( teaches(victor,csc410)
| ~ course(csc410) ),
inference(paramodulation,[status(thm)],[f50,f46]) ).
fof(f63,definition,
( sQ2_spl
<=> teaches(victor,csc410) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f64,plain,
( ~ sQ2_spl
| teaches(victor,csc410) ),
inference(component_clause,[status(thm)],[f63]) ).
fof(f66,plain,
( sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f62,f53,f63]) ).
fof(f67,plain,
! [X0] :
( ~ sQ2_spl
| taughtby(X0,victor)
| ~ professor(victor)
| ~ enrolled(X0,csc410)
| ~ course(csc410)
| ~ student(X0) ),
inference(resolution,[status(thm)],[f48,f64]) ).
fof(f71,definition,
! [X0] :
( sQ3_spl
<=> ( taughtby(X0,victor)
| ~ enrolled(X0,csc410)
| ~ student(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f72,plain,
! [X0] :
( ~ sQ3_spl
| taughtby(X0,victor)
| ~ enrolled(X0,csc410)
| ~ student(X0) ),
inference(component_clause,[status(thm)],[f71]) ).
fof(f74,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f67,f71,f53,f56,f63]) ).
fof(f82,plain,
( ~ sQ3_spl
| taughtby(michael,victor)
| ~ student(michael) ),
inference(resolution,[status(thm)],[f72,f49]) ).
fof(f90,definition,
( sQ6_spl
<=> student(michael) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f92,plain,
( sQ6_spl
| ~ student(michael) ),
inference(component_clause,[status(thm)],[f90]) ).
fof(f93,definition,
( sQ7_spl
<=> taughtby(michael,victor) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f94,plain,
( ~ sQ7_spl
| taughtby(michael,victor) ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f96,plain,
( ~ sQ3_spl
| sQ7_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f82,f90,f93,f71]) ).
fof(f97,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f92,f24]) ).
fof(f98,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f97]) ).
fof(f99,plain,
( ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f94,f51]) ).
fof(f100,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f99]) ).
fof(f101,plain,
$false,
inference(sat_refutation,[status(thm)],[f59,f61,f66,f74,f96,f98,f100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ131+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 03:57:44 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.14/0.36 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.050152 seconds
% 0.14/0.42 % CPU time: 0.148137 seconds
% 0.14/0.42 % Total memory used: 66.760 MB
% 0.14/0.42 % Net memory used: 66.387 MB
%------------------------------------------------------------------------------