%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN336+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 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 : Fri Sep 25 03:34:24 PM UTC 2026
% Result : Theorem 3.96s 1.04s
% Output : Proof 3.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 14 unt; 0 def)
% Number of atoms : 34 ( 11 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 22 ( 6 ~; 0 |; 8 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 6 sgn 8 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,conjecture,
! [X] :
? [Y1,Y2] :
! [Z] :
( big_f(X,Z)
=> ( big_f(Y1,Z)
=> ( big_f(Y2,Z)
=> ( big_f(Y1,X)
=> big_f(Z,Y2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_15_1) ).
fof(f0_neg,negated_conjecture,
~ ! [X] :
? [Y1,Y2] :
! [Z] :
( big_f(X,Z)
=> ( big_f(Y1,Z)
=> ( big_f(Y2,Z)
=> ( big_f(Y1,X)
=> big_f(Z,Y2) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
? [X] :
! [Y1,Y2] :
? [Z] :
( ~ big_f(Z,Y2)
& big_f(Y1,X)
& big_f(Y2,Z)
& big_f(Y1,Z)
& big_f(X,Z) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
! [Y1,Y2] :
( ~ big_f(sk1(Y1,Y2),Y2)
& big_f(Y1,sk0)
& big_f(Y2,sk1(Y1,Y2))
& big_f(Y1,sk1(Y1,Y2))
& big_f(sk0,sk1(Y1,Y2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f0_nnf]) ).
cnf(c4,plain,
~ big_f(sk1(X1,X2),X2),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(t5,plain,
eq(big_f(sk1(X1,X2),X2),true) = efalse,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(t11,plain,
eq(big_f(sk1(X1,X2),X2),true) = efalse,
inference(orient,[status(thm)],[t5]) ).
cnf(c3,plain,
big_f(X1,sk0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(t0,plain,
big_f(X1,sk0) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t8,plain,
big_f(X1,sk0) = true,
inference(orient,[status(thm)],[t0]) ).
cnf(t12,plain,
efalse = eq(true,true),
inference(cp,[status(thm)],[t11,t8]) ).
cnf(t1,plain,
eq(X1,X1) = etrue,
introduced(definition) ).
cnf(t10,plain,
eq(X1,X1) = etrue,
inference(orient,[status(thm)],[t1]) ).
cnf(t16,plain,
efalse = etrue,
inference(step,[status(thm)],[t12,t10]) ).
cnf(t13,plain,
efalse = etrue,
inference(orient,[status(thm)],[t16]) ).
cnf(goal_0,negated_conjecture,
etrue != efalse,
introduced(definition) ).
cnf(g0_0,plain,
etrue != etrue,
inference(rw,[status(thm)],[goal_0,t13]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN336+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.37 % Computer : n003.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 00:55:07 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.96/1.04 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.96/1.04 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------