TSTP Solution File: CAT006-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : CAT006-1 : 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 02:09:01 EDT 2024
% Result : Unsatisfiable 0.46s 1.14s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
defined(h,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ha_defined) ).
cnf(c_50,plain,
identity_map(h),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_is_the_identity_map) ).
cnf(c_51,negated_conjecture,
codomain(a) != h,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_codomain_of_a_is_h) ).
cnf(c_57,plain,
( ~ product(X0,X1,X2)
| ~ defined(X3,X2)
| defined(X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',category_theory_axiom3) ).
cnf(c_62,plain,
identity_map(codomain(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',codomain_is_an_identity_map) ).
cnf(c_66,plain,
product(codomain(X0),X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',product_on_codomain) ).
cnf(c_67,plain,
( ~ defined(X0,X1)
| ~ identity_map(X0)
| product(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',identity1) ).
cnf(c_68,plain,
( ~ defined(X0,X1)
| ~ identity_map(X1)
| product(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',identity2) ).
cnf(c_69,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',composition_is_well_defined) ).
cnf(c_366,plain,
codomain(a) = sP0_iProver_def,
definition ).
cnf(c_367,negated_conjecture,
sP0_iProver_def != h,
inference(demodulation,[status(thm)],[c_51,c_366]) ).
cnf(c_649,plain,
identity_map(sP0_iProver_def),
inference(superposition,[status(thm)],[c_366,c_62]) ).
cnf(c_650,plain,
product(sP0_iProver_def,a,a),
inference(superposition,[status(thm)],[c_366,c_66]) ).
cnf(c_712,plain,
( ~ defined(X0,a)
| defined(X0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_650,c_57]) ).
cnf(c_724,plain,
( ~ defined(h,a)
| defined(h,sP0_iProver_def) ),
inference(instantiation,[status(thm)],[c_712]) ).
cnf(c_866,plain,
( ~ product(X0,X1,h)
| ~ product(X0,X1,sP0_iProver_def)
| sP0_iProver_def = h ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_2302,plain,
( ~ defined(X0,sP0_iProver_def)
| ~ identity_map(X0)
| product(X0,sP0_iProver_def,sP0_iProver_def) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_2303,plain,
( ~ product(X0,sP0_iProver_def,h)
| ~ product(X0,sP0_iProver_def,sP0_iProver_def)
| sP0_iProver_def = h ),
inference(instantiation,[status(thm)],[c_866]) ).
cnf(c_2304,plain,
( ~ defined(h,sP0_iProver_def)
| ~ identity_map(h)
| product(h,sP0_iProver_def,sP0_iProver_def) ),
inference(instantiation,[status(thm)],[c_2302]) ).
cnf(c_2305,plain,
( ~ product(h,sP0_iProver_def,h)
| ~ product(h,sP0_iProver_def,sP0_iProver_def)
| sP0_iProver_def = h ),
inference(instantiation,[status(thm)],[c_2303]) ).
cnf(c_2789,plain,
( ~ defined(h,sP0_iProver_def)
| ~ identity_map(sP0_iProver_def)
| product(h,sP0_iProver_def,h) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_2790,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2789,c_2305,c_2304,c_724,c_649,c_367,c_49,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : CAT006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n017.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 20:46:06 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 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
% 0.46/1.14 % SZS status Started for theBenchmark.p
% 0.46/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.14
% 0.46/1.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.46/1.14
% 0.46/1.14 ------ iProver source info
% 0.46/1.14
% 0.46/1.14 git: date: 2024-05-02 19:28:25 +0000
% 0.46/1.14 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.46/1.14 git: non_committed_changes: false
% 0.46/1.14
% 0.46/1.14 ------ Parsing...successful
% 0.46/1.14
% 0.46/1.14
% 0.46/1.14
% 0.46/1.14 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 0.46/1.14
% 0.46/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.46/1.14
% 0.46/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.46/1.14 ------ Proving...
% 0.46/1.14 ------ Problem Properties
% 0.46/1.14
% 0.46/1.14
% 0.46/1.14 clauses 22
% 0.46/1.14 conjectures 1
% 0.46/1.14 EPR 14
% 0.46/1.14 Horn 22
% 0.46/1.14 unary 10
% 0.46/1.14 binary 2
% 0.46/1.14 lits 49
% 0.46/1.14 lits eq 3
% 0.46/1.14 fd_pure 0
% 0.46/1.14 fd_pseudo 0
% 0.46/1.14 fd_cond 0
% 0.46/1.14 fd_pseudo_cond 1
% 0.46/1.14 AC symbols 0
% 0.46/1.14
% 0.46/1.14 ------ Schedule dynamic 5 is on
% 0.46/1.14
% 0.46/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.46/1.14
% 0.46/1.14
% 0.46/1.14 ------
% 0.46/1.14 Current options:
% 0.46/1.14 ------
% 0.46/1.14
% 0.46/1.14
% 0.46/1.14
% 0.46/1.14
% 0.46/1.14 ------ Proving...
% 0.46/1.14
% 0.46/1.14
% 0.46/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.14
% 0.46/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.15
% 0.46/1.15
%------------------------------------------------------------------------------