%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN981+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 09:11:19 AM UTC 2026
% Result : Theorem 0.10s 0.38s
% Output : Proof 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 69 ( 25 ~; 16 |; 21 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 30 ( 2 sgn 18 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
( ( ? [Y] :
( q(Y)
=> r(Y) )
& ! [X] :
( p(X)
=> q(X) ) )
=> ? [Z] :
( p(Z)
=> r(Z) ) ),
file('theBenchmark.p',prove_this) ).
fof(f_1_1,negated_conjecture,
( ~ ? [Z] :
( p(Z)
=> r(Z) )
& ? [Y] :
( q(Y)
=> r(Y) )
& ! [X] :
( p(X)
=> q(X) ) ),
inference(negate,[status(cth)],[prove_this]) ).
fof(f_1_2,negated_conjecture,
( ! [Z] :
( ~ r(Z)
& p(Z) )
& ? [Y] :
( r(Y)
| ~ q(Y) )
& ! [X] :
( q(X)
| ~ p(X) ) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
( ! [U_2] :
( ~ r(U_2)
& p(U_2) )
& ? [U_1] :
( r(U_1)
| ~ q(U_1) )
& ! [U_0] :
( q(U_0)
| ~ p(U_0) ) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ! [U_6] : ~ r(U_6)
& ! [U_5] : p(U_5)
& ( ? [U_4] : r(U_4)
| ? [U_3] : ~ q(U_3) )
& ! [U_0] :
( q(U_0)
| ~ p(U_0) ) ),
inference(miniscope,[status(thm)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ! [U_6] : ~ r(U_6)
& ! [U_5] : p(U_5)
& ( ? [U_4] : r(U_4)
| ~ q(sK1) )
& ! [U_0] :
( q(U_0)
| ~ p(U_0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_3,sK1)],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ! [U_6] : ~ r(U_6)
& ! [U_5] : p(U_5)
& ( r(sK2)
| ~ q(sK1) )
& ! [U_0] :
( q(U_0)
| ~ p(U_0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_4,sK2)],[f_1_5]) ).
fof(f_1_7,negated_conjecture,
( ! [U_6] : ~ r(U_6)
& ! [U_5] : p(U_5)
& ( r(sK2)
| ~ q(sK1) )
& ! [U_0] :
( q(U_0)
| ~ p(U_0) ) ),
inference(definitional_conversion,[status(esa)],[f_1_6]) ).
cnf(f_1_8,negated_conjecture,
( q(U_0)
| ~ p(U_0) ),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_9,negated_conjecture,
( r(sK2)
| ~ q(sK1) ),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_10,negated_conjecture,
p(U_5),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_11,negated_conjecture,
~ r(U_6),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(t1,plain,
~ r(sK2),
inference(start,[status(thm),parent(0:0)],[f_1_11]) ).
cnf(t2,plain,
( ~ q(sK1)
| r(sK2) ),
inference(extension,[status(thm),parent(t1:1)],[f_1_9]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ p(sK1)
| q(sK1) ),
inference(extension,[status(thm),parent(t2:2)],[f_1_8]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
p(sK1),
inference(extension,[status(thm),parent(t4:2)],[f_1_10]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN981+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n006.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 07:29:12 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % SZS status Theorem for theBenchmark
% 0.10/0.38 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------