%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN359+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n002.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 : Fri Sep 25 03:34:29 PM UTC 2026
% Result : Theorem 2.99s 0.89s
% Output : Proof 2.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 19 ( 12 unt; 0 def)
% Number of atoms : 46 ( 10 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 42 ( 15 ~; 9 |; 12 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-4 aty)
% Number of variables : 33 ( 4 sgn 13 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,conjecture,
( ( ! [X,Y] :
( big_q(X,Y)
=> big_q(X,X) )
& ! [Y] :
( big_r(Y)
=> ? [Z] : big_q(Y,Z) )
& ? [X] : big_r(X) )
=> ? [X,Y] :
( big_r(Y)
& big_q(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2110) ).
fof(f0_neg,negated_conjecture,
~ ( ( ! [X,Y] :
( big_q(X,Y)
=> big_q(X,X) )
& ! [Y] :
( big_r(Y)
=> ? [Z] : big_q(Y,Z) )
& ? [X] : big_r(X) )
=> ? [X,Y] :
( big_r(Y)
& big_q(X,Y) ) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
( ! [X,Y] :
( ~ big_r(Y)
| ~ big_q(X,Y) )
& ! [X,Y] :
( big_q(X,X)
| ~ big_q(X,Y) )
& ! [Y] :
( ? [Z] : big_q(Y,Z)
| ~ big_r(Y) )
& ? [X] : big_r(X) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
! [Y,X] :
( ( ~ big_r(Y)
| ~ big_q(X,Y) )
& ( big_q(X,X)
| ~ big_q(X,Y) )
& ( big_q(Y,sk1(Y))
| ~ big_r(Y) )
& big_r(sk0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f0_nnf]) ).
cnf(c1,plain,
( big_q(X1,sk1(X1))
| ~ big_r(X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi1,negated_conjecture,
ifeq(big_r(X0),true,big_q(X0,sk1(X0)),true) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(c0,plain,
big_r(sk0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,negated_conjecture,
big_r(sk0) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(h0,plain,
big_q(sk0,sk1(sk0)) = true,
inference(hyper_resolution,[status(thm)],[hi1,hi0]) ).
cnf(c2,plain,
( big_q(X0,X0)
| ~ big_q(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi2,negated_conjecture,
ifeq(big_q(X0,X1),true,big_q(X0,X0),true) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h1,plain,
big_q(sk0,sk0) = true,
inference(hyper_resolution,[status(thm)],[hi2,h0]) ).
cnf(c3,plain,
( ~ big_r(X1)
| ~ big_q(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi3,negated_conjecture,
ifeq(big_q(X0,X1),true,ifeq(big_r(X1),true,false,true),true) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi3,h1,hi0]) ).
cnf(t20,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t20]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN359+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 01:01:34 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.99/0.89 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.99/0.89 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------