TSTP Solution File: FLD008-4 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : FLD008-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n017.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 : Wed Aug 30 22:32:49 EDT 2023
% Result : Unsatisfiable 6.87s 1.66s
% Output : CNFRefutation 6.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 50 ( 12 unt; 0 nHn; 50 RR)
% Number of literals : 112 ( 0 equ; 64 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 64 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
cnf(c_50,plain,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
cnf(c_51,plain,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
cnf(c_53,negated_conjecture,
sum(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_5) ).
cnf(c_54,negated_conjecture,
sum(additive_inverse(a),additive_inverse(b),d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_6) ).
cnf(c_55,negated_conjecture,
~ sum(additive_identity,additive_inverse(c),d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_7) ).
cnf(c_56,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| ~ sum(X2,X3,X5)
| sum(X0,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
cnf(c_57,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1)
| sum(X4,X5,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_addition_2) ).
cnf(c_58,plain,
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
cnf(c_59,plain,
( ~ defined(X0)
| sum(additive_inverse(X0),X0,additive_identity) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).
cnf(c_60,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
cnf(c_70,plain,
( ~ defined(X0)
| defined(additive_inverse(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_inverse) ).
cnf(c_260,plain,
( ~ sum(additive_inverse(c),additive_identity,d)
| sum(additive_identity,additive_inverse(c),d) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_285,plain,
( ~ sum(additive_inverse(c),X0,X1)
| ~ sum(X0,X2,additive_identity)
| ~ sum(X1,X2,d)
| sum(additive_inverse(c),additive_identity,d) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_297,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| ~ sum(X0,X4,d)
| sum(X2,X3,d) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_302,plain,
( ~ sum(X0,X1,d)
| sum(X1,X0,d) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_457,plain,
( ~ sum(additive_inverse(a),additive_inverse(b),d)
| sum(additive_inverse(b),additive_inverse(a),d) ),
inference(instantiation,[status(thm)],[c_302]) ).
cnf(c_585,plain,
( ~ defined(X0)
| sum(X0,additive_identity,X0) ),
inference(superposition,[status(thm)],[c_58,c_60]) ).
cnf(c_586,plain,
( ~ defined(X0)
| sum(X0,additive_inverse(X0),additive_identity) ),
inference(superposition,[status(thm)],[c_59,c_60]) ).
cnf(c_598,plain,
( ~ defined(X0)
| sum(X0,additive_identity,X0) ),
inference(superposition,[status(thm)],[c_58,c_60]) ).
cnf(c_599,plain,
( ~ defined(X0)
| sum(X0,additive_inverse(X0),additive_identity) ),
inference(superposition,[status(thm)],[c_59,c_60]) ).
cnf(c_2054,plain,
( ~ sum(additive_inverse(b),additive_inverse(a),d)
| ~ sum(additive_inverse(b),X0,X1)
| ~ sum(X0,X2,additive_inverse(a))
| sum(X1,X2,d) ),
inference(instantiation,[status(thm)],[c_297]) ).
cnf(c_2224,plain,
( ~ sum(additive_inverse(b),X0,X1)
| ~ sum(d,X0,X2)
| sum(additive_inverse(a),X1,X2) ),
inference(superposition,[status(thm)],[c_54,c_56]) ).
cnf(c_2333,plain,
( ~ defined(a)
| defined(additive_inverse(a)) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_2540,plain,
( ~ sum(a,X0,X1)
| ~ sum(b,X2,X0)
| sum(c,X2,X1) ),
inference(superposition,[status(thm)],[c_53,c_57]) ).
cnf(c_2541,plain,
( ~ sum(additive_inverse(a),X0,X1)
| ~ sum(additive_inverse(b),X2,X0)
| sum(d,X2,X1) ),
inference(superposition,[status(thm)],[c_54,c_57]) ).
cnf(c_2623,plain,
( ~ sum(a,X0,X1)
| ~ sum(b,X2,X0)
| sum(c,X2,X1) ),
inference(superposition,[status(thm)],[c_53,c_57]) ).
cnf(c_2624,plain,
( ~ sum(additive_inverse(a),X0,X1)
| ~ sum(additive_inverse(b),X2,X0)
| sum(d,X2,X1) ),
inference(superposition,[status(thm)],[c_54,c_57]) ).
cnf(c_3988,plain,
( ~ sum(additive_inverse(c),c,additive_identity)
| ~ sum(c,X0,additive_identity)
| ~ sum(additive_identity,X0,d)
| sum(additive_inverse(c),additive_identity,d) ),
inference(instantiation,[status(thm)],[c_285]) ).
cnf(c_3989,plain,
( ~ defined(c)
| sum(additive_inverse(c),c,additive_identity) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_4211,plain,
( ~ sum(b,X0,additive_inverse(a))
| ~ defined(a)
| sum(c,X0,additive_identity) ),
inference(superposition,[status(thm)],[c_586,c_2540]) ).
cnf(c_4219,plain,
( ~ sum(b,X0,additive_inverse(a))
| sum(c,X0,additive_identity) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4211,c_49]) ).
cnf(c_4386,plain,
( ~ sum(b,X0,additive_identity)
| ~ defined(a)
| sum(c,X0,a) ),
inference(superposition,[status(thm)],[c_598,c_2623]) ).
cnf(c_4392,plain,
( ~ sum(b,X0,additive_identity)
| sum(c,X0,a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4386,c_49]) ).
cnf(c_4964,plain,
( ~ sum(additive_inverse(b),X0,additive_identity)
| ~ defined(additive_inverse(a))
| sum(d,X0,additive_inverse(a)) ),
inference(superposition,[status(thm)],[c_585,c_2541]) ).
cnf(c_5114,plain,
( ~ sum(additive_inverse(b),X0,additive_identity)
| ~ defined(additive_inverse(a))
| sum(d,X0,additive_inverse(a)) ),
inference(superposition,[status(thm)],[c_598,c_2624]) ).
cnf(c_11835,plain,
( ~ defined(b)
| sum(additive_inverse(b),b,additive_identity) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_22513,plain,
( ~ defined(b)
| sum(c,additive_inverse(b),a) ),
inference(superposition,[status(thm)],[c_599,c_4392]) ).
cnf(c_22518,plain,
sum(c,additive_inverse(b),a),
inference(forward_subsumption_resolution,[status(thm)],[c_22513,c_50]) ).
cnf(c_25217,plain,
sum(additive_inverse(b),c,a),
inference(superposition,[status(thm)],[c_22518,c_60]) ).
cnf(c_26474,plain,
( ~ sum(d,c,X0)
| sum(additive_inverse(a),a,X0) ),
inference(superposition,[status(thm)],[c_25217,c_2224]) ).
cnf(c_26989,plain,
( ~ sum(d,c,X0)
| sum(a,additive_inverse(a),X0) ),
inference(superposition,[status(thm)],[c_26474,c_60]) ).
cnf(c_27096,plain,
( ~ sum(additive_inverse(b),additive_inverse(a),d)
| ~ sum(b,X0,additive_inverse(a))
| ~ sum(additive_inverse(b),b,additive_identity)
| sum(additive_identity,X0,d) ),
inference(instantiation,[status(thm)],[c_2054]) ).
cnf(c_30137,plain,
( ~ sum(b,X0,additive_inverse(a))
| ~ sum(d,c,X1)
| sum(c,X0,X1) ),
inference(superposition,[status(thm)],[c_26989,c_2623]) ).
cnf(c_31735,plain,
( ~ sum(additive_inverse(b),X0,additive_identity)
| sum(d,X0,additive_inverse(a)) ),
inference(global_subsumption_just,[status(thm)],[c_5114,c_49,c_2333,c_4964]) ).
cnf(c_31741,plain,
( ~ defined(b)
| sum(d,b,additive_inverse(a)) ),
inference(superposition,[status(thm)],[c_59,c_31735]) ).
cnf(c_31746,plain,
sum(d,b,additive_inverse(a)),
inference(forward_subsumption_resolution,[status(thm)],[c_31741,c_50]) ).
cnf(c_33077,plain,
sum(b,d,additive_inverse(a)),
inference(superposition,[status(thm)],[c_31746,c_60]) ).
cnf(c_35786,plain,
~ sum(b,X0,additive_inverse(a)),
inference(global_subsumption_just,[status(thm)],[c_30137,c_51,c_50,c_55,c_54,c_260,c_457,c_3988,c_3989,c_4219,c_11835,c_27096]) ).
cnf(c_35789,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_33077,c_35786]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : FLD008-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 : Mon Aug 28 00:05:27 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.87/1.66 % SZS status Started for theBenchmark.p
% 6.87/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 6.87/1.66
% 6.87/1.66 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 6.87/1.66
% 6.87/1.66 ------ iProver source info
% 6.87/1.66
% 6.87/1.66 git: date: 2023-05-31 18:12:56 +0000
% 6.87/1.66 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 6.87/1.66 git: non_committed_changes: false
% 6.87/1.66 git: last_make_outside_of_git: false
% 6.87/1.66
% 6.87/1.66 ------ Parsing...successful
% 6.87/1.66
% 6.87/1.66
% 6.87/1.66
% 6.87/1.66 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 6.87/1.66
% 6.87/1.66 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 6.87/1.66 ------ Proving...
% 6.87/1.66 ------ Problem Properties
% 6.87/1.66
% 6.87/1.66
% 6.87/1.66 clauses 33
% 6.87/1.66 conjectures 3
% 6.87/1.66 EPR 23
% 6.87/1.66 Horn 30
% 6.87/1.66 unary 10
% 6.87/1.66 binary 6
% 6.87/1.66 lits 84
% 6.87/1.66 lits eq 0
% 6.87/1.66 fd_pure 0
% 6.87/1.66 fd_pseudo 0
% 6.87/1.66 fd_cond 0
% 6.87/1.66 fd_pseudo_cond 0
% 6.87/1.66 AC symbols 0
% 6.87/1.66
% 6.87/1.66 ------ Schedule dynamic 5 is on
% 6.87/1.66
% 6.87/1.66 ------ no equalities: superposition off
% 6.87/1.66
% 6.87/1.66 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.87/1.66
% 6.87/1.66
% 6.87/1.66 ------
% 6.87/1.66 Current options:
% 6.87/1.66 ------
% 6.87/1.66
% 6.87/1.66
% 6.87/1.66
% 6.87/1.66
% 6.87/1.66 ------ Proving...
% 6.87/1.66
% 6.87/1.66
% 6.87/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 6.87/1.66
% 6.87/1.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.87/1.66
% 6.87/1.66
%------------------------------------------------------------------------------