%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ALG428-1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n009.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 04:08:42 PM UTC 2026
% Result : Unsatisfiable 2.30s 2.11s
% Output : CNFRefutation 2.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 15 ( 9 unt; 2 nHn; 13 RR)
% Number of literals : 23 ( 9 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 11 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_that_0,axiom,
( v_thesis____
| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_Suc(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Suc__pred_0,axiom,
( c_Suc(c_HOL_Ominus__class_Ominus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X1
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__pred_0) ).
cnf(cls_le__neq__implies__less_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| X1 = X2
| ~ c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__neq__implies__less_0) ).
cnf(cls_le0_0,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le0_0) ).
cnf(cls_dp_0,axiom,
c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dp_0) ).
cnf(c_0_6,axiom,
( v_thesis____
| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_Suc(X1) ),
cls_that_0 ).
cnf(c_0_7,negated_conjecture,
~ v_thesis____,
cls_conjecture_0 ).
cnf(c_0_8,plain,
c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_Suc(X1),
inference(sr,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,axiom,
( c_Suc(c_HOL_Ominus__class_Ominus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X1
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
cls_Suc__pred_0 ).
cnf(c_0_10,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_nat),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9])]) ).
cnf(c_0_11,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| X1 = X2
| ~ c_lessequals(X1,X2,tc_nat) ),
cls_le__neq__implies__less_0 ).
cnf(c_0_12,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),
cls_le0_0 ).
cnf(c_0_13,axiom,
c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat),
cls_dp_0 ).
cnf(c_0_14,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ALG428-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.31 % Computer : n009.cluster.edu
% 0.15/0.31 % Model : x86_64 x86_64
% 0.15/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.31 % Memory : 8042.1875MB
% 0.15/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.31 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 10:33:26 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 2.30/2.11 % Version : CSE_E---1.7
% 2.30/2.11 % Problem : theBenchmark.p
% 2.30/2.11 % SZS status Unsatisfiable for theBenchmark.p
% 2.30/2.11 % SZS output start CNFRefutation
% See solution above
% 2.30/2.12 % Total time : 1.429s
%------------------------------------------------------------------------------