TSTP Solution File: SWV677-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWV677-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 : Fri May 3 03:19:39 EDT 2024
% Result : Unsatisfiable 10.23s 2.16s
% Output : CNFRefutation 10.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 3 unt; 12 nHn; 12 RR)
% Number of literals : 57 ( 32 equ; 24 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 35 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_474,plain,
( c_HOL_Ozero__class_Ozero(t_a) != v_a
| ~ class_Ring__and__Field_Ofield(t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nz_0) ).
cnf(c_604,plain,
( ~ class_Ring__and__Field_Ofield(X0)
| c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inverse__eq__divide_0) ).
cnf(c_616,plain,
( ~ c_lessequals(X0,X1,tc_nat)
| ~ class_Ring__and__Field_Ofield(X2)
| c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X3,X2),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2)
| c_HOL_Ozero__class_Ozero(X2) = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__diff__inverse_0) ).
cnf(c_651,plain,
( ~ c_lessequals(X0,X1,tc_nat)
| ~ class_Ring__and__Field_Ofield(X2)
| c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X3,X1,X2),c_Power_Opower__class_Opower(X3,X0,X2),X2) = c_Power_Opower__class_Opower(X3,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2)
| c_HOL_Ozero__class_Ozero(X2) = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__diff_0) ).
cnf(c_652,plain,
( c_lessequals(X0,X1,tc_nat)
| c_lessequals(X1,X0,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__le__linear_0) ).
cnf(c_686,negated_conjecture,
class_Ring__and__Field_Ofield(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(c_687,negated_conjecture,
( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a)
| c_lessequals(v_n,v_m,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_688,negated_conjecture,
( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a)
| ~ c_lessequals(v_n,v_m,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_1352,plain,
( ~ class_Ring__and__Field_Ofield(X0)
| c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
inference(prop_impl_just,[status(thm)],[c_604]) ).
cnf(c_6740,plain,
( X0 != t_a
| c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_1352,c_686]) ).
cnf(c_6741,plain,
c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),X0,t_a) = c_HOL_Oinverse__class_Oinverse(X0,t_a),
inference(unflattening,[status(thm)],[c_6740]) ).
cnf(c_6853,plain,
( X0 != t_a
| ~ c_lessequals(X1,X2,tc_nat)
| c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X3,X2,X0),c_Power_Opower__class_Opower(X3,X1,X0),X0) = c_Power_Opower__class_Opower(X3,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X0)
| c_HOL_Ozero__class_Ozero(X0) = X3 ),
inference(resolution_lifted,[status(thm)],[c_686,c_651]) ).
cnf(c_6854,plain,
( ~ c_lessequals(X0,X1,tc_nat)
| c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X1,t_a),c_Power_Opower__class_Opower(X2,X0,t_a),t_a) = c_Power_Opower__class_Opower(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),t_a)
| c_HOL_Ozero__class_Ozero(t_a) = X2 ),
inference(unflattening,[status(thm)],[c_6853]) ).
cnf(c_6865,plain,
( X0 != t_a
| ~ c_lessequals(X1,X2,tc_nat)
| c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X3,X1,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X3,X0),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X0)
| c_HOL_Ozero__class_Ozero(X0) = X3 ),
inference(resolution_lifted,[status(thm)],[c_686,c_616]) ).
cnf(c_6866,plain,
( ~ c_lessequals(X0,X1,tc_nat)
| c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X0,t_a),c_Power_Opower__class_Opower(X2,X1,t_a),t_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X2,t_a),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),t_a)
| c_HOL_Ozero__class_Ozero(t_a) = X2 ),
inference(unflattening,[status(thm)],[c_6865]) ).
cnf(c_7909,plain,
( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a)
| c_lessequals(v_n,v_m,tc_nat) ),
inference(prop_impl_just,[status(thm)],[c_687]) ).
cnf(c_9680,plain,
( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a)
| c_lessequals(v_n,v_m,tc_nat) ),
inference(demodulation,[status(thm)],[c_7909,c_6741]) ).
cnf(c_17826,plain,
( c_lessequals(v_m,v_n,tc_nat)
| c_lessequals(v_n,v_m,tc_nat) ),
inference(instantiation,[status(thm)],[c_652]) ).
cnf(c_17942,plain,
( ~ c_lessequals(X0,X1,tc_nat)
| c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,X1,t_a),c_Power_Opower__class_Opower(v_a,X0,t_a),t_a) = c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),t_a)
| c_HOL_Ozero__class_Ozero(t_a) = v_a ),
inference(instantiation,[status(thm)],[c_6854]) ).
cnf(c_17947,plain,
( ~ c_lessequals(X0,X1,tc_nat)
| c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,X0,t_a),c_Power_Opower__class_Opower(v_a,X1,t_a),t_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),t_a)
| c_HOL_Ozero__class_Ozero(t_a) = v_a ),
inference(instantiation,[status(thm)],[c_6866]) ).
cnf(c_19112,plain,
( ~ c_lessequals(v_n,v_m,tc_nat)
| c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) = c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a)
| c_HOL_Ozero__class_Ozero(t_a) = v_a ),
inference(instantiation,[status(thm)],[c_17942]) ).
cnf(c_19114,plain,
( ~ c_lessequals(v_m,v_n,tc_nat)
| c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a)
| c_HOL_Ozero__class_Ozero(t_a) = v_a ),
inference(instantiation,[status(thm)],[c_17947]) ).
cnf(c_19773,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_19114,c_19112,c_17826,c_9680,c_688,c_474,c_686]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV677-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 2 23:52:34 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 10.23/2.16 % SZS status Started for theBenchmark.p
% 10.23/2.16 % SZS status Unsatisfiable for theBenchmark.p
% 10.23/2.16
% 10.23/2.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.23/2.16
% 10.23/2.16 ------ iProver source info
% 10.23/2.16
% 10.23/2.16 git: date: 2024-05-02 19:28:25 +0000
% 10.23/2.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 10.23/2.16 git: non_committed_changes: false
% 10.23/2.16
% 10.23/2.16 ------ Parsing...successful
% 10.23/2.16
% 10.23/2.16
% 10.23/2.16
% 10.23/2.16 ------ Preprocessing... sup_sim: 9 sf_s rm: 137 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 8 sf_s rm: 25 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 25 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 25 0s sf_e pe_s pe_e
% 10.23/2.16
% 10.23/2.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.23/2.16
% 10.23/2.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.23/2.16 ------ Proving...
% 10.23/2.16 ------ Problem Properties
% 10.23/2.16
% 10.23/2.16
% 10.23/2.16 clauses 298
% 10.23/2.16 conjectures 1
% 10.23/2.16 EPR 15
% 10.23/2.16 Horn 253
% 10.23/2.16 unary 107
% 10.23/2.16 binary 127
% 10.23/2.16 lits 558
% 10.23/2.16 lits eq 204
% 10.23/2.16 fd_pure 0
% 10.23/2.16 fd_pseudo 0
% 10.23/2.16 fd_cond 30
% 10.23/2.16 fd_pseudo_cond 18
% 10.23/2.16 AC symbols 0
% 10.23/2.16
% 10.23/2.16 ------ Input Options Time Limit: Unbounded
% 10.23/2.16
% 10.23/2.16
% 10.23/2.16 ------
% 10.23/2.16 Current options:
% 10.23/2.16 ------
% 10.23/2.16
% 10.23/2.16
% 10.23/2.16
% 10.23/2.16
% 10.23/2.16 ------ Proving...
% 10.23/2.16
% 10.23/2.16
% 10.23/2.16 % SZS status Unsatisfiable for theBenchmark.p
% 10.23/2.16
% 10.23/2.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.23/2.16
% 10.23/2.16
%------------------------------------------------------------------------------