%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN079+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 : 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 : Fri Sep 25 03:33:45 PM UTC 2026
% Result : Theorem 3.46s 0.82s
% Output : Proof 3.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 19 unt; 0 def)
% Number of atoms : 31 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 12 ~; 6 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 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; 0-4 aty)
% Number of variables : 15 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X,Y,Z] :
( ( big_f(Y,Z)
& big_f(X,Y) )
=> big_f(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel57_3) ).
fof(f2_nnf,plain,
! [X,Y,Z] :
( big_f(X,Z)
| ~ big_f(Y,Z)
| ~ big_f(X,Y) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y,Z] :
( big_f(X,Z)
| ~ big_f(Y,Z)
| ~ big_f(X,Y) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( big_f(X0,X2)
| ~ big_f(X1,X2)
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi2,axiom,
ifeq(big_f(X0,X1),true,ifeq(big_f(X1,X2),true,big_f(X0,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
fof(f0,axiom,
big_f(f(a,b),f(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel57_1) ).
fof(f0_nnf,plain,
big_f(f(a,b),f(b,c)),
inference(nnf_transformation,[status(thm)],[f0]) ).
cnf(c0,plain,
big_f(f(a,b),f(b,c)),
inference(cnf_transformation,[status(esa)],[f0_nnf]) ).
cnf(hi0,axiom,
big_f(f(a,b),f(b,c)) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
fof(f1,axiom,
big_f(f(b,c),f(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel57_2) ).
fof(f1_nnf,plain,
big_f(f(b,c),f(a,c)),
inference(nnf_transformation,[status(thm)],[f1]) ).
cnf(c1,plain,
big_f(f(b,c),f(a,c)),
inference(cnf_transformation,[status(esa)],[f1_nnf]) ).
cnf(hi1,axiom,
big_f(f(b,c),f(a,c)) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(t1,plain,
big_f(f(a,b),f(a,c)) = true,
inference(hyper_resolution,[status(thm)],[hi2,hi0,hi1]) ).
cnf(t6,plain,
big_f(f(a,b),f(a,c)) = true,
inference(orient,[status(thm)],[t1]) ).
fof(f3,conjecture,
big_f(f(a,b),f(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel57) ).
fof(f3_neg,negated_conjecture,
~ big_f(f(a,b),f(a,c)),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f3_nnf,plain,
~ big_f(f(a,b),f(a,c)),
inference(nnf_transformation,[status(thm)],[f3_neg]) ).
fof(f3_sk,plain,
~ big_f(f(a,b),f(a,c)),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
~ big_f(f(a,b),f(a,c)),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(goal_0,negated_conjecture,
big_f(f(a,b),f(a,c)) != true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t6]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN079+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 00:07:17 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.46/0.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.46/0.82 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------