%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ALG347-1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:08:30 PM UTC 2026
% Result : Unsatisfiable 16.33s 10.99s
% Output : CNFRefutation 16.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 18 ( 10 unt; 4 nHn; 14 RR)
% Number of literals : 31 ( 19 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 19 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_degree__pCons__eq_0,axiom,
( c_Polynomial_Odegree(c_Polynomial_OpCons(X2,X3,X1),X1) = c_Suc(c_Polynomial_Odegree(X3,X1))
| X3 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_HOL_Ozero(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_degree__pCons__eq_0) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_HOL_Ozero,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ocomm__semiring__0_HOL_Ozero) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Ocomm__semiring__0(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(cls_conjecture_2,negated_conjecture,
c_Polynomial_Odegree(c_Polynomial_OpCons(v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a),t_a) != c_Suc(c_Polynomial_Odegree(v_pa,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a) = c_Polynomial_Odegree(v_pa,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_offset__poly__eq__0__iff_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X3,X1) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_offset__poly__eq__0__iff_0) ).
cnf(cls_conjecture_1,negated_conjecture,
v_pa != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_0_7,axiom,
( c_Polynomial_Odegree(c_Polynomial_OpCons(X2,X3,X1),X1) = c_Suc(c_Polynomial_Odegree(X3,X1))
| X3 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_HOL_Ozero(X1) ),
cls_degree__pCons__eq_0 ).
cnf(c_0_8,axiom,
( class_HOL_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
clsrel_Ring__and__Field_Ocomm__semiring__0_HOL_Ozero ).
cnf(c_0_9,plain,
( c_Polynomial_Odegree(c_Polynomial_OpCons(X1,X2,X3),X3) = c_Suc(c_Polynomial_Odegree(X2,X3))
| X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,negated_conjecture,
class_Ring__and__Field_Ocomm__semiring__0(t_a),
tfree_tcs ).
cnf(c_0_11,negated_conjecture,
c_Polynomial_Odegree(c_Polynomial_OpCons(v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a),t_a) != c_Suc(c_Polynomial_Odegree(v_pa,t_a)),
cls_conjecture_2 ).
cnf(c_0_12,negated_conjecture,
( c_Polynomial_Odegree(c_Polynomial_OpCons(X1,X2,t_a),t_a) = c_Suc(c_Polynomial_Odegree(X2,t_a))
| X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a) = c_Polynomial_Odegree(v_pa,t_a),
cls_conjecture_0 ).
cnf(c_0_14,axiom,
( X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X3,X1) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
cls_offset__poly__eq__0__iff_0 ).
cnf(c_0_15,negated_conjecture,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).
cnf(c_0_16,negated_conjecture,
v_pa != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
cls_conjecture_1 ).
cnf(c_0_17,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_10])]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG347-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n028.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 10:32:45 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 16.33/10.99 % Version : CSE_E---1.7
% 16.33/10.99 % Problem : theBenchmark.p
% 16.33/10.99 % SZS status Unsatisfiable for theBenchmark.p
% 16.33/10.99 % SZS output start CNFRefutation
% See solution above
% 16.45/11.05 % Total time : 8.446s
%------------------------------------------------------------------------------