%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV585-1 : 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 : n003.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 05:27:00 PM UTC 2026
% Result : Unsatisfiable 204.14s 144.97s
% Output : CNFRefutation 204.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of clauses : 40 ( 15 unt; 6 nHn; 30 RR)
% Number of literals : 74 ( 20 equ; 37 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 45 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_nat__mult__2_0,axiom,
c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mult__2_0) ).
cnf(cls_comp__arith_I115_J_0,axiom,
c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comp__arith_I115_J_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_n,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_2,negated_conjecture,
( v_x != c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,v_n,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_mult__less__cancel1_1,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel1_1) ).
cnf(cls_xt1_I10_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I10_J_0) ).
cnf(clsarity_nat__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).
cnf(cls_even__nat__div__two__times__two_0,axiom,
( c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_Divides_Odiv__class_Odiv(X1,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat),tc_nat) = X1
| ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_even__nat__div__two__times__two_0) ).
cnf(cls_lessI_0,axiom,
c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lessI_0) ).
cnf(cls_odd__nat__div__two__times__two__plus__one_0,axiom,
( c_Suc(c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_Divides_Odiv__class_Odiv(X1,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat),tc_nat)) = X1
| c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_odd__nat__div__two__times__two__plus__one_0) ).
cnf(cls_conjecture_1,negated_conjecture,
( v_x != c_Suc(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),X1,tc_nat))
| ~ c_HOL_Oord__class_Oless(X1,v_n,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_nat__neq__iff_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| X2 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__neq__iff_0) ).
cnf(cls_nat__less__le_1,axiom,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__less__le_1) ).
cnf(c_0_13,axiom,
c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),
cls_nat__mult__2_0 ).
cnf(c_0_14,axiom,
c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),
cls_comp__arith_I115_J_0 ).
cnf(c_0_15,negated_conjecture,
c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_n,tc_nat),tc_nat),
cls_conjecture_0 ).
cnf(c_0_16,plain,
c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
( v_x != c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,v_n,tc_nat) ),
cls_conjecture_2 ).
cnf(c_0_18,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat) ),
cls_mult__less__cancel1_1 ).
cnf(c_0_19,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
cls_xt1_I10_J_0 ).
cnf(c_0_20,negated_conjecture,
c_HOL_Oord__class_Oless(v_x,c_HOL_Oplus__class_Oplus(v_n,v_n,tc_nat),tc_nat),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_14]),c_0_16]) ).
cnf(c_0_21,axiom,
class_Orderings_Oorder(tc_nat),
clsarity_nat__Orderings_Oorder ).
cnf(c_0_22,negated_conjecture,
( c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X1,tc_nat) != v_x
| ~ c_HOL_Oord__class_Oless(X1,v_n,tc_nat) ),
inference(rw,[status(thm)],[c_0_17,c_0_14]) ).
cnf(c_0_23,axiom,
( c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_Divides_Odiv__class_Odiv(X1,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat),tc_nat) = X1
| ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
cls_even__nat__div__two__times__two_0 ).
cnf(c_0_24,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X2,tc_nat),tc_nat) ),
inference(spm,[status(thm)],[c_0_18,c_0_16]) ).
cnf(c_0_25,negated_conjecture,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(v_n,v_n,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,v_x,tc_nat) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_26,axiom,
c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
cls_lessI_0 ).
cnf(c_0_27,axiom,
( c_Suc(c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_Divides_Odiv__class_Odiv(X1,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat),tc_nat)) = X1
| c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
cls_odd__nat__div__two__times__two__plus__one_0 ).
cnf(c_0_28,negated_conjecture,
( v_x != c_Suc(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),X1,tc_nat))
| ~ c_HOL_Oord__class_Oless(X1,v_n,tc_nat) ),
cls_conjecture_1 ).
cnf(c_0_29,negated_conjecture,
( X1 != v_x
| ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Odiv(X1,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat),v_n,tc_nat) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_30,plain,
( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Odiv(X1,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat),X2,tc_nat)
| ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X2,tc_nat),tc_nat) ),
inference(spm,[status(thm)],[c_0_18,c_0_23]) ).
cnf(c_0_31,negated_conjecture,
( c_HOL_Oord__class_Oless(X1,v_n,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X1,tc_nat),v_x,tc_nat) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_32,plain,
( c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_Divides_Odiv__class_Odiv(X1,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat),tc_nat),X1,tc_nat) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,negated_conjecture,
( c_Suc(c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X1,tc_nat)) != v_x
| ~ c_HOL_Oord__class_Oless(X1,v_n,tc_nat) ),
inference(rw,[status(thm)],[c_0_28,c_0_14]) ).
cnf(c_0_34,negated_conjecture,
( X1 != v_x
| ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(v_n,v_n,tc_nat),tc_nat) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_16]) ).
cnf(c_0_35,negated_conjecture,
( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Odiv(v_x,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat),v_n,tc_nat)
| c_Parity_Oeven__odd__class_Oeven(v_x,tc_nat) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
( X1 != v_x
| ~ c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Odiv(X1,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat),v_n,tc_nat) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_27]),c_0_29]) ).
cnf(c_0_37,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| X2 = X1 ),
cls_nat__neq__iff_0 ).
cnf(c_0_38,axiom,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
cls_nat__less__le_1 ).
cnf(c_0_39,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_34,c_0_35,c_0_36,c_0_37,c_0_38,c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV585-1 : 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
% 0.11/0.32 % Computer : n003.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 5 05:36:11 EDT 2026
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % start to proof: theBenchmark
% 204.14/144.97 % Version : CSE_E---1.7
% 204.14/144.97 % Problem : theBenchmark.p
% 204.14/144.97 % SZS status Unsatisfiable for theBenchmark.p
% 204.14/144.97 % SZS output start CNFRefutation
% See solution above
% 204.74/145.54 % Total time : 122.958s
%------------------------------------------------------------------------------