TSTP Solution File: CAT002-4 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : CAT002-4 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 : Mon Jun 24 04:41:18 EDT 2024
% Result : Unsatisfiable 2.13s 1.12s
% Output : CNFRefutation 2.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 11 ( 5 unt; 0 nHn; 10 RR)
% Number of literals : 19 ( 18 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,plain,
( compose(a,X0) != X1
| compose(a,X2) != X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_compose1) ).
cnf(c_51,plain,
( compose(b,X0) != X1
| compose(b,X2) != X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_compose2) ).
cnf(c_53,plain,
compose(compose(a,b),h) = compose(compose(a,b),g),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_h_equals_ab_g) ).
cnf(c_54,negated_conjecture,
h != g,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_g_equals_h) ).
cnf(c_63,plain,
compose(compose(X0,X1),X2) = compose(X0,compose(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',associativity_of_compose) ).
cnf(c_67,plain,
( compose(b,X0) != compose(b,X1)
| X1 = X0 ),
inference(unflattening,[status(thm)],[c_51]) ).
cnf(c_68,plain,
( compose(a,X0) != compose(a,X1)
| X1 = X0 ),
inference(unflattening,[status(thm)],[c_50]) ).
cnf(c_164,plain,
compose(a,compose(b,h)) = compose(a,compose(b,g)),
inference(demodulation,[status(thm)],[c_53,c_63]) ).
cnf(c_484,plain,
( compose(b,g) != compose(b,h)
| h = g ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_584,plain,
( compose(a,compose(b,h)) != compose(a,compose(b,g))
| compose(b,g) = compose(b,h) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_586,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_584,c_484,c_164,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CAT002-4 : TPTP v8.2.0. Released v1.0.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jun 18 12:11:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 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
% 2.13/1.12 % SZS status Started for theBenchmark.p
% 2.13/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 2.13/1.12
% 2.13/1.12 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.13/1.12
% 2.13/1.12 ------ iProver source info
% 2.13/1.12
% 2.13/1.12 git: date: 2024-06-12 09:56:46 +0000
% 2.13/1.12 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 2.13/1.12 git: non_committed_changes: false
% 2.13/1.12
% 2.13/1.12 ------ Parsing...successful
% 2.13/1.12
% 2.13/1.12
% 2.13/1.12
% 2.13/1.12 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 2.13/1.12
% 2.13/1.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.13/1.12
% 2.13/1.12 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.13/1.12 ------ Proving...
% 2.13/1.12 ------ Problem Properties
% 2.13/1.12
% 2.13/1.12
% 2.13/1.12 clauses 14
% 2.13/1.12 conjectures 1
% 2.13/1.12 EPR 2
% 2.13/1.12 Horn 14
% 2.13/1.12 unary 7
% 2.13/1.12 binary 6
% 2.13/1.12 lits 22
% 2.13/1.12 lits eq 11
% 2.13/1.12 fd_pure 0
% 2.13/1.12 fd_pseudo 0
% 2.13/1.12 fd_cond 0
% 2.13/1.12 fd_pseudo_cond 2
% 2.13/1.12 AC symbols 0
% 2.13/1.12
% 2.13/1.12 ------ Schedule dynamic 5 is on
% 2.13/1.12
% 2.13/1.12 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.13/1.12
% 2.13/1.12
% 2.13/1.12 ------
% 2.13/1.12 Current options:
% 2.13/1.12 ------
% 2.13/1.12
% 2.13/1.12
% 2.13/1.12
% 2.13/1.12
% 2.13/1.12 ------ Proving...
% 2.13/1.12
% 2.13/1.12
% 2.13/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 2.13/1.12
% 2.13/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.13/1.12
% 2.13/1.12
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