%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : ALG391-1 : TPTP v9.3.1. Released v4.1.0.
% 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 12:52:27 PM UTC 2026
% Result : Unsatisfiable 53.96s 17.48s
% Output : Proof 53.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 6 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 13 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f1105,negated_conjecture,
( V_xa = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Polynomial_Odegree(V_xa,t_a) != c_Polynomial_Odegree(v_cs____,t_a)
| c_Polynomial_Opoly(v_cs____,hAPP(v_x,V_xa),t_a) != c_Polynomial_Opoly(V_xa,hAPP(v_x,V_xa),t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1105_nnf,plain,
! [V_xa] :
( V_xa = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Polynomial_Odegree(V_xa,t_a) != c_Polynomial_Odegree(v_cs____,t_a)
| c_Polynomial_Opoly(v_cs____,hAPP(v_x,V_xa),t_a) != c_Polynomial_Opoly(V_xa,hAPP(v_x,V_xa),t_a) ),
inference(nnf_transformation,[status(thm)],[f1105]) ).
fof(f1105_sk,plain,
! [V_xa] :
( V_xa = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Polynomial_Odegree(V_xa,t_a) != c_Polynomial_Odegree(v_cs____,t_a)
| c_Polynomial_Opoly(v_cs____,hAPP(v_x,V_xa),t_a) != c_Polynomial_Opoly(V_xa,hAPP(v_x,V_xa),t_a) ),
inference(skolemisation,[status(esa)],[f1105_nnf]) ).
cnf(c1105,plain,
( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Polynomial_Odegree(X0,t_a) != c_Polynomial_Odegree(v_cs____,t_a)
| c_Polynomial_Opoly(v_cs____,hAPP(v_x,X0),t_a) != c_Polynomial_Opoly(X0,hAPP(v_x,X0),t_a) ),
inference(cnf_transformation,[status(esa)],[f1105_sk]) ).
cnf(p828,plain,
( v_cs____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Polynomial_Odegree(v_cs____,t_a) != c_Polynomial_Odegree(v_cs____,t_a) ),
inference(equality_resolution,[status(thm)],[c1105]) ).
cnf(p830,plain,
v_cs____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference(equality_resolution,[status(thm)],[p828]) ).
cnf(f1103,negated_conjecture,
v_cs____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1103_nnf,plain,
v_cs____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference(nnf_transformation,[status(thm)],[f1103]) ).
fof(f1103_sk,plain,
v_cs____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference(skolemisation,[status(esa)],[f1103_nnf]) ).
cnf(c1103,plain,
v_cs____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference(cnf_transformation,[status(esa)],[f1103_sk]) ).
cnf(p831,plain,
$false,
inference(resolution,[status(thm)],[p830,c1103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG391-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/10.37 % Computer : n002.cluster.edu
% 0.08/10.37 % Model : x86_64 x86_64
% 0.08/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/10.37 % Memory : 8046.5625MB
% 0.08/10.37 % OS : Linux 6.8.0-71-generic
% 0.08/10.37 % CPULimit : 300
% 0.08/10.37 % WCLimit : 300
% 0.08/10.37 % DateTime : Fri Sep 25 05:35:20 UTC 2026
% 0.08/10.37 % CPUTime :
% 0.08/10.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 53.96/17.48 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 53.96/17.48 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------