TSTP Solution File: SWV674-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWV674-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 03:19:38 EDT 2024
% Result : Unsatisfiable 8.39s 1.69s
% Output : CNFRefutation 8.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of clauses : 29 ( 11 unt; 5 nHn; 15 RR)
% Number of literals : 52 ( 30 equ; 23 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 36 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_394,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Opwr__0_0) ).
cnf(c_414,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_584,plain,
( ~ class_Ring__and__Field_Odivision__ring(X0)
| c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0)
| c_HOL_Ozero__class_Ozero(X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nonzero__power__inverse_0) ).
cnf(c_619,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_628,plain,
c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__nat_Odiff__0_0) ).
cnf(c_661,negated_conjecture,
class_Ring__and__Field_Ofield(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(c_663,negated_conjecture,
c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Ozero__class_Ozero(tc_nat),t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_667,plain,
( ~ class_Ring__and__Field_Ofield(X0)
| class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_Ring__and__Field_Ocomm__semiring__1) ).
cnf(c_670,plain,
( ~ class_Ring__and__Field_Ofield(X0)
| class_Ring__and__Field_Odivision__ring(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_Ring__and__Field_Odivision__ring) ).
cnf(c_1180,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
inference(prop_impl_just,[status(thm)],[c_394]) ).
cnf(c_1182,plain,
( class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(prop_impl_just,[status(thm)],[c_667]) ).
cnf(c_1183,plain,
( ~ class_Ring__and__Field_Ofield(X0)
| class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(renaming,[status(thm)],[c_1182]) ).
cnf(c_1234,plain,
( ~ class_Ring__and__Field_Ofield(X0)
| class_Ring__and__Field_Odivision__ring(X0) ),
inference(prop_impl_just,[status(thm)],[c_670]) ).
cnf(c_1246,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_414]) ).
cnf(c_5572,plain,
c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Ozero__class_Ozero(tc_nat),t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),v_x,t_a),
inference(demodulation,[status(thm)],[c_663,c_628]) ).
cnf(c_6905,plain,
( X0 != X1
| ~ class_Ring__and__Field_Ofield(X0)
| c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X2,X1),X3,X1) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X2,X3,X1),X1)
| c_HOL_Ozero__class_Ozero(X1) = X2 ),
inference(resolution_lifted,[status(thm)],[c_1234,c_584]) ).
cnf(c_6906,plain,
( ~ class_Ring__and__Field_Ofield(X0)
| c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0)
| c_HOL_Ozero__class_Ozero(X0) = X1 ),
inference(unflattening,[status(thm)],[c_6905]) ).
cnf(c_7532,plain,
( X0 != t_a
| c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0)
| c_HOL_Ozero__class_Ozero(X0) = X1 ),
inference(resolution_lifted,[status(thm)],[c_6906,c_661]) ).
cnf(c_7533,plain,
( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,t_a),X1,t_a) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X1,t_a),t_a)
| c_HOL_Ozero__class_Ozero(t_a) = X0 ),
inference(unflattening,[status(thm)],[c_7532]) ).
cnf(c_7618,plain,
( X0 != t_a
| class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(resolution_lifted,[status(thm)],[c_1183,c_661]) ).
cnf(c_7619,plain,
class_Ring__and__Field_Ocomm__semiring__1(t_a),
inference(unflattening,[status(thm)],[c_7618]) ).
cnf(c_7665,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_1246,c_661]) ).
cnf(c_7666,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_7665]) ).
cnf(c_8312,plain,
( X0 != t_a
| c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
inference(resolution_lifted,[status(thm)],[c_1180,c_7619]) ).
cnf(c_8313,plain,
c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),t_a) = c_HOL_Oone__class_Oone(t_a),
inference(unflattening,[status(thm)],[c_8312]) ).
cnf(c_18062,plain,
c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),v_x,t_a),
inference(superposition,[status(thm)],[c_8313,c_5572]) ).
cnf(c_20717,plain,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),v_x,t_a) != c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a),
inference(superposition,[status(thm)],[c_7666,c_18062]) ).
cnf(c_20718,plain,
c_HOL_Ozero__class_Ozero(t_a) = v_a,
inference(superposition,[status(thm)],[c_7533,c_20717]) ).
cnf(c_20719,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_20718,c_619,c_661]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV674-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 01:03:31 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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
% 8.39/1.69 % SZS status Started for theBenchmark.p
% 8.39/1.69 % SZS status Unsatisfiable for theBenchmark.p
% 8.39/1.69
% 8.39/1.69 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.39/1.69
% 8.39/1.69 ------ iProver source info
% 8.39/1.69
% 8.39/1.69 git: date: 2024-05-02 19:28:25 +0000
% 8.39/1.69 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.39/1.69 git: non_committed_changes: false
% 8.39/1.69
% 8.39/1.69 ------ Parsing...successful
% 8.39/1.69
% 8.39/1.69
% 8.39/1.69
% 8.39/1.69 ------ Preprocessing... sup_sim: 1 sf_s rm: 149 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e
% 8.39/1.69
% 8.39/1.69 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.39/1.69
% 8.39/1.69 ------ Preprocessing... sf_s rm: 1 0s sf_e
% 8.39/1.69 ------ Proving...
% 8.39/1.69 ------ Problem Properties
% 8.39/1.69
% 8.39/1.69
% 8.39/1.69 clauses 311
% 8.39/1.69 conjectures 0
% 8.39/1.69 EPR 30
% 8.39/1.69 Horn 248
% 8.39/1.69 unary 85
% 8.39/1.69 binary 84
% 8.39/1.69 lits 713
% 8.39/1.69 lits eq 203
% 8.39/1.69 fd_pure 0
% 8.39/1.69 fd_pseudo 0
% 8.39/1.69 fd_cond 30
% 8.39/1.69 fd_pseudo_cond 20
% 8.39/1.69 AC symbols 0
% 8.39/1.69
% 8.39/1.69 ------ Input Options Time Limit: Unbounded
% 8.39/1.69
% 8.39/1.69
% 8.39/1.69 ------
% 8.39/1.69 Current options:
% 8.39/1.69 ------
% 8.39/1.69
% 8.39/1.69
% 8.39/1.69
% 8.39/1.69
% 8.39/1.69 ------ Proving...
% 8.39/1.69
% 8.39/1.69
% 8.39/1.69 % SZS status Unsatisfiable for theBenchmark.p
% 8.39/1.69
% 8.39/1.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.39/1.69
% 8.39/1.69
%------------------------------------------------------------------------------