%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN073-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n011.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 03:33:43 PM UTC 2026
% Result : Unsatisfiable 3.26s 16.14s
% Output : Proof 3.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 20 unt; 0 def)
% Number of atoms : 28 ( 15 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 7 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f1,negated_conjecture,
~ big_f(X,f(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f1_nnf,plain,
! [X] : ~ big_f(X,f(X)),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X] : ~ big_f(X,f(X)),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
~ big_f(X0,f(X0)),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(t4,plain,
big_f(X1,f(X1)) = false,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(t11,plain,
big_f(X1,f(X1)) = false,
inference(orient,[status(thm)],[t4]) ).
cnf(f0,negated_conjecture,
( big_f(X,Y)
| big_f(a,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f0_nnf,plain,
! [X,Y] :
( big_f(X,Y)
| big_f(a,X) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y] :
( big_f(X,Y)
| big_f(a,X) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( big_f(X0,X1)
| big_f(a,X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(t5,plain,
or(big_f(a,X1),big_f(X1,X2)) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t10,plain,
or(big_f(a,X1),big_f(X1,X2)) = true,
inference(orient,[status(thm)],[t5]) ).
cnf(t13,plain,
true = or(big_f(a,X1),false),
inference(cp,[status(thm)],[t10,t11]) ).
cnf(t0,plain,
or(X1,false) = X1,
introduced(definition) ).
cnf(t6,plain,
or(X1,false) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t21,plain,
true = big_f(a,X1),
inference(step,[status(thm)],[t13,t6]) ).
cnf(t14,plain,
big_f(a,X1) = true,
inference(orient,[status(thm)],[t21]) ).
cnf(t15,plain,
true = false,
inference(cp,[status(thm)],[t14,t11]) ).
cnf(t16,plain,
false = true,
inference(orient,[status(thm)],[t15]) ).
cnf(t22,plain,
big_f(X1,f(X1)) = true,
inference(step,[status(thm)],[t11,t16]) ).
cnf(t17,plain,
big_f(X1,f(X1)) = true,
inference(orient,[status(thm)],[t22]) ).
cnf(goal_0,negated_conjecture,
big_f(X1,f(X1)) != true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t17]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN073-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/15.42 % CPULimit : 300
% 0.07/15.42 % WCLimit : 300
% 0.07/15.42 % DateTime : Fri Sep 25 00:05:07 UTC 2026
% 0.07/15.43 % CPUTime :
% 0.07/15.43 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.26/16.14 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.26/16.14 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------