TSTP Solution File: CAT004-4 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : CAT004-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 4.16s 1.18s
% Output : CNFRefutation 4.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 6 unt; 0 nHn; 13 RR)
% Number of literals : 24 ( 23 equ; 11 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 : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,plain,
( compose(X0,a) != X1
| compose(X2,a) != X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_product1) ).
cnf(c_51,plain,
( compose(X0,b) != X1
| compose(X2,b) != X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_product2) ).
cnf(c_53,plain,
compose(h,compose(a,b)) = compose(g,compose(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_ab_equals_g_ab) ).
cnf(c_54,negated_conjecture,
h != g,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_h_equals_g) ).
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(X0,b) != compose(X1,b)
| X1 = X0 ),
inference(unflattening,[status(thm)],[c_51]) ).
cnf(c_68,plain,
( compose(X0,a) != compose(X1,a)
| X1 = X0 ),
inference(unflattening,[status(thm)],[c_50]) ).
cnf(c_429,plain,
( compose(X0,compose(X1,b)) != compose(X2,b)
| compose(X0,X1) = X2 ),
inference(superposition,[status(thm)],[c_63,c_67]) ).
cnf(c_452,plain,
( compose(h,compose(a,b)) != compose(X0,b)
| compose(g,a) = X0 ),
inference(superposition,[status(thm)],[c_53,c_429]) ).
cnf(c_515,plain,
( compose(X0,compose(X1,b)) != compose(h,compose(a,b))
| compose(X0,X1) = compose(g,a) ),
inference(superposition,[status(thm)],[c_63,c_452]) ).
cnf(c_639,plain,
compose(h,a) = compose(g,a),
inference(equality_resolution,[status(thm)],[c_515]) ).
cnf(c_934,plain,
( compose(X0,a) != compose(h,a)
| X0 = g ),
inference(superposition,[status(thm)],[c_639,c_68]) ).
cnf(c_1759,plain,
h = g,
inference(equality_resolution,[status(thm)],[c_934]) ).
cnf(c_1760,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_54,c_1759]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT004-4 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 2 21:07:32 EDT 2024
% 0.14/0.34 % 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
% 4.16/1.18 % SZS status Started for theBenchmark.p
% 4.16/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 4.16/1.18
% 4.16/1.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.16/1.18
% 4.16/1.18 ------ iProver source info
% 4.16/1.18
% 4.16/1.18 git: date: 2024-05-02 19:28:25 +0000
% 4.16/1.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.16/1.18 git: non_committed_changes: false
% 4.16/1.18
% 4.16/1.18 ------ Parsing...successful
% 4.16/1.18
% 4.16/1.18
% 4.16/1.18
% 4.16/1.18 ------ Preprocessing... sup_sim: 0 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
% 4.16/1.18
% 4.16/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.16/1.18
% 4.16/1.18 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.16/1.18 ------ Proving...
% 4.16/1.18 ------ Problem Properties
% 4.16/1.18
% 4.16/1.18
% 4.16/1.18 clauses 14
% 4.16/1.18 conjectures 1
% 4.16/1.18 EPR 2
% 4.16/1.18 Horn 14
% 4.16/1.18 unary 7
% 4.16/1.18 binary 6
% 4.16/1.18 lits 22
% 4.16/1.18 lits eq 11
% 4.16/1.18 fd_pure 0
% 4.16/1.18 fd_pseudo 0
% 4.16/1.18 fd_cond 0
% 4.16/1.18 fd_pseudo_cond 2
% 4.16/1.18 AC symbols 0
% 4.16/1.18
% 4.16/1.18 ------ Input Options Time Limit: Unbounded
% 4.16/1.18
% 4.16/1.18
% 4.16/1.18 ------
% 4.16/1.18 Current options:
% 4.16/1.18 ------
% 4.16/1.18
% 4.16/1.18
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% 4.16/1.18
% 4.16/1.18 ------ Proving...
% 4.16/1.18
% 4.16/1.18
% 4.16/1.18 ------ Proving...
% 4.16/1.18
% 4.16/1.18
% 4.16/1.18 ------ Proving...
% 4.16/1.18
% 4.16/1.18
% 4.16/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 4.16/1.18
% 4.16/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.16/1.18
% 4.16/1.18
%------------------------------------------------------------------------------