%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ALG367-1 : 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 : n026.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 04:08:33 PM UTC 2026
% Result : Unsatisfiable 11.79s 9.61s
% Output : CNFRefutation 11.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 6 unt; 0 nHn; 10 RR)
% Number of literals : 24 ( 13 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 19 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
( v_thesis____
| c_Polynomial_Opoly(X1,v_q(X1),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_z,v_q(X1),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_Polynomial_Odegree(X1,tc_Complex_Ocomplex) != c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_0,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_poly__offset__poly_0,axiom,
( c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X3,X1),X4,X1) = c_Polynomial_Opoly(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_poly__offset__poly_0) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).
cnf(cls_degree__offset__poly_0,axiom,
( c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X3,X1),X1) = c_Polynomial_Odegree(X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_degree__offset__poly_0) ).
cnf(c_0_5,negated_conjecture,
( v_thesis____
| c_Polynomial_Opoly(X1,v_q(X1),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_z,v_q(X1),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_Polynomial_Odegree(X1,tc_Complex_Ocomplex) != c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) ),
cls_conjecture_1 ).
cnf(c_0_6,negated_conjecture,
~ v_thesis____,
cls_conjecture_0 ).
cnf(c_0_7,negated_conjecture,
( c_Polynomial_Opoly(X1,v_q(X1),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_z,v_q(X1),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_Polynomial_Odegree(X1,tc_Complex_Ocomplex) != c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) ),
inference(sr,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,axiom,
( c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X3,X1),X4,X1) = c_Polynomial_Opoly(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
cls_poly__offset__poly_0 ).
cnf(c_0_9,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0 ).
cnf(c_0_10,negated_conjecture,
( c_Polynomial_Opoly(X1,c_HOL_Oplus__class_Oplus(X2,v_q(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_z,v_q(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).
cnf(c_0_11,negated_conjecture,
c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_p,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),
inference(er,[status(thm)],[c_0_10]) ).
cnf(c_0_12,axiom,
( c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X3,X1),X1) = c_Polynomial_Odegree(X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
cls_degree__offset__poly_0 ).
cnf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.21 % Problem : ALG367-1 : TPTP v9.2.1. Released v4.1.0.
% 0.03/0.21 % 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
% 0.13/0.46 % Computer : n026.cluster.edu
% 0.13/0.46 % Model : x86_64 x86_64
% 0.13/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.46 % Memory : 8042.1875MB
% 0.13/0.46 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.46 % CPULimit : 300
% 0.13/0.46 % WCLimit : 300
% 0.13/0.46 % DateTime : Tue May 5 10:33:38 EDT 2026
% 0.13/0.47 % CPUTime :
% 0.13/0.47 % start to proof: theBenchmark
% 11.79/9.61 % Version : CSE_E---1.7
% 11.79/9.61 % Problem : theBenchmark.p
% 11.79/9.61 % SZS status Unsatisfiable for theBenchmark.p
% 11.79/9.61 % SZS output start CNFRefutation
% See solution above
% 11.79/9.65 % Total time : 7.506s
%------------------------------------------------------------------------------