TSTP Solution File: CAT003-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : CAT003-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : Fri May 3 02:09:00 EDT 2024
% Result : Unsatisfiable 3.80s 1.11s
% Output : CNFRefutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of clauses : 31 ( 13 unt; 0 nHn; 29 RR)
% Number of literals : 65 ( 3 equ; 37 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 45 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
product(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_equals_c) ).
cnf(c_50,plain,
( ~ product(X0,c,X1)
| ~ product(X2,c,X1)
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_product) ).
cnf(c_51,plain,
product(h,a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ha_equals_d) ).
cnf(c_52,plain,
product(g,a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ga_equals_d) ).
cnf(c_53,negated_conjecture,
h != g,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_h_equals_g) ).
cnf(c_54,plain,
( ~ defined(X0,X1)
| product(X0,X1,compose(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',closure_of_composition) ).
cnf(c_55,plain,
( ~ product(X0,X1,X2)
| defined(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',associative_property1) ).
cnf(c_56,plain,
( ~ product(X0,X1,X2)
| ~ defined(X2,X3)
| defined(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',associative_property2) ).
cnf(c_58,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',category_theory_axiom2) ).
cnf(c_60,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ defined(X0,X4)
| defined(X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',category_theory_axiom4) ).
cnf(c_62,plain,
( ~ defined(X0,X1)
| ~ defined(X1,X2)
| ~ identity_map(X1)
| defined(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',category_theory_axiom6) ).
cnf(c_63,plain,
identity_map(domain(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',domain_is_an_identity_map) ).
cnf(c_67,plain,
product(X0,domain(X0),X0),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',product_on_domain) ).
cnf(c_641,plain,
defined(a,b),
inference(superposition,[status(thm)],[c_49,c_55]) ).
cnf(c_642,plain,
defined(h,a),
inference(superposition,[status(thm)],[c_51,c_55]) ).
cnf(c_703,plain,
( ~ defined(X0,X1)
| defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_67,c_56]) ).
cnf(c_816,plain,
( ~ product(h,c,X0)
| ~ product(g,c,X0)
| h = g ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_939,plain,
( ~ product(a,X0,X1)
| ~ defined(h,X1)
| defined(d,X0) ),
inference(superposition,[status(thm)],[c_51,c_60]) ).
cnf(c_1097,plain,
( ~ product(a,X0,X1)
| ~ product(d,X0,X2)
| ~ product(g,a,d)
| product(g,X1,X2) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_1151,plain,
( ~ product(a,X0,X1)
| ~ product(d,X0,X2)
| product(h,X1,X2) ),
inference(superposition,[status(thm)],[c_51,c_58]) ).
cnf(c_1808,plain,
( ~ product(d,b,X0)
| ~ product(a,b,c)
| ~ product(g,a,d)
| product(g,c,X0) ),
inference(instantiation,[status(thm)],[c_1097]) ).
cnf(c_1897,plain,
( ~ defined(h,a)
| defined(d,domain(a)) ),
inference(superposition,[status(thm)],[c_67,c_939]) ).
cnf(c_1902,plain,
defined(d,domain(a)),
inference(forward_subsumption_resolution,[status(thm)],[c_1897,c_642]) ).
cnf(c_1935,plain,
( ~ defined(domain(a),X0)
| ~ identity_map(domain(a))
| defined(d,X0) ),
inference(superposition,[status(thm)],[c_1902,c_62]) ).
cnf(c_1937,plain,
( ~ defined(domain(a),X0)
| defined(d,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1935,c_63]) ).
cnf(c_1960,plain,
( ~ defined(a,X0)
| defined(d,X0) ),
inference(superposition,[status(thm)],[c_703,c_1937]) ).
cnf(c_2030,plain,
defined(d,b),
inference(superposition,[status(thm)],[c_641,c_1960]) ).
cnf(c_2510,plain,
( ~ product(d,b,X0)
| product(h,c,X0) ),
inference(superposition,[status(thm)],[c_49,c_1151]) ).
cnf(c_2597,plain,
~ product(d,b,X0),
inference(global_subsumption_just,[status(thm)],[c_2510,c_52,c_49,c_53,c_816,c_1808,c_2510]) ).
cnf(c_2600,plain,
~ defined(d,b),
inference(superposition,[status(thm)],[c_54,c_2597]) ).
cnf(c_2603,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2600,c_2030]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : CAT003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n017.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 : Thu May 2 20:45:51 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.80/1.11 % SZS status Started for theBenchmark.p
% 3.80/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 3.80/1.11
% 3.80/1.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.80/1.11
% 3.80/1.11 ------ iProver source info
% 3.80/1.11
% 3.80/1.11 git: date: 2024-05-02 19:28:25 +0000
% 3.80/1.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.80/1.11 git: non_committed_changes: false
% 3.80/1.11
% 3.80/1.11 ------ Parsing...successful
% 3.80/1.11
% 3.80/1.11
% 3.80/1.11
% 3.80/1.11 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.80/1.11
% 3.80/1.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.80/1.11
% 3.80/1.11 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.80/1.11 ------ Proving...
% 3.80/1.11 ------ Problem Properties
% 3.80/1.11
% 3.80/1.11
% 3.80/1.11 clauses 23
% 3.80/1.11 conjectures 1
% 3.80/1.11 EPR 16
% 3.80/1.11 Horn 23
% 3.80/1.11 unary 10
% 3.80/1.11 binary 2
% 3.80/1.11 lits 52
% 3.80/1.11 lits eq 3
% 3.80/1.11 fd_pure 0
% 3.80/1.11 fd_pseudo 0
% 3.80/1.11 fd_cond 0
% 3.80/1.11 fd_pseudo_cond 2
% 3.80/1.11 AC symbols 0
% 3.80/1.11
% 3.80/1.11 ------ Schedule dynamic 5 is on
% 3.80/1.11
% 3.80/1.11 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.80/1.11
% 3.80/1.11
% 3.80/1.11 ------
% 3.80/1.11 Current options:
% 3.80/1.11 ------
% 3.80/1.11
% 3.80/1.11
% 3.80/1.11
% 3.80/1.11
% 3.80/1.11 ------ Proving...
% 3.80/1.11
% 3.80/1.11
% 3.80/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 3.80/1.11
% 3.80/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.80/1.11
% 3.80/1.11
%------------------------------------------------------------------------------