TSTP Solution File: COL121-2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : COL121-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 02:09:59 EDT 2024
% Result : Unsatisfiable 0.49s 1.17s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 30 ( 4 unt; 0 nHn; 30 RR)
% Number of literals : 72 ( 0 equ; 45 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-4 aty)
% Number of variables : 47 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
| ~ c_in(c_Pair(X0,X4,X2,X2),X3,tc_prod(X2,X2))
| ~ c_Comb_Odiamond(X3,X2)
| c_in(c_Pair(X4,c_Comb_Odiamond__strip__lemmaE__1(X3,X1,X4,X2),X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Comb_Odiamond__strip__lemmaE_0) ).
cnf(c_50,plain,
( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
| ~ c_in(c_Pair(X0,X4,X2,X2),X3,tc_prod(X2,X2))
| ~ c_Comb_Odiamond(X3,X2)
| c_in(c_Pair(X1,c_Comb_Odiamond__strip__lemmaE__1(X3,X1,X4,X2),X2,X2),X3,tc_prod(X2,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Comb_Odiamond__strip__lemmaE_1) ).
cnf(c_51,plain,
( ~ c_in(X0,X1,tc_prod(X2,X2))
| c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Or__into__rtrancl_0) ).
cnf(c_52,plain,
( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
| ~ c_in(c_Pair(X4,X0,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
| c_in(c_Pair(X4,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl__trans_0) ).
cnf(c_53,negated_conjecture,
c_Comb_Odiamond(v_r,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_54,negated_conjecture,
c_in(c_Pair(v_ya,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_55,negated_conjecture,
c_in(c_Pair(v_y,v_xaa,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_56,negated_conjecture,
( ~ c_in(c_Pair(v_y,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| c_in(c_Pair(v_ya,v_x(X0),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(c_57,negated_conjecture,
( ~ c_in(c_Pair(v_y,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| c_in(c_Pair(X0,v_x(X0),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(c_58,negated_conjecture,
( ~ c_in(c_Pair(v_z,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xaa,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(c_109,plain,
( ~ c_in(c_Pair(X0,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X0,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(X1,c_Comb_Odiamond__strip__lemmaE__1(v_r,X1,X2,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[c_50,c_53]) ).
cnf(c_120,plain,
( ~ c_in(c_Pair(X0,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X0,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(X2,c_Comb_Odiamond__strip__lemmaE__1(v_r,X1,X2,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[c_49,c_53]) ).
cnf(c_175,plain,
( ~ c_in(c_Pair(X0_16,X1_16,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X0_16,X2_16,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(X2_16,c_Comb_Odiamond__strip__lemmaE__1(v_r,X1_16,X2_16,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(subtyping,[status(esa)],[c_120]) ).
cnf(c_176,plain,
( ~ c_in(c_Pair(X0_16,X1_16,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X0_16,X2_16,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(X1_16,c_Comb_Odiamond__strip__lemmaE__1(v_r,X1_16,X2_16,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(subtyping,[status(esa)],[c_109]) ).
cnf(c_177,negated_conjecture,
( ~ c_in(c_Pair(v_z,X0_16,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xaa,X0_16,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(subtyping,[status(esa)],[c_58]) ).
cnf(c_178,negated_conjecture,
( ~ c_in(c_Pair(v_y,X0_16,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| c_in(c_Pair(X0_16,v_x(X0_16),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(subtyping,[status(esa)],[c_57]) ).
cnf(c_179,negated_conjecture,
( ~ c_in(c_Pair(v_y,X0_16,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| c_in(c_Pair(v_ya,v_x(X0_16),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(subtyping,[status(esa)],[c_56]) ).
cnf(c_182,plain,
( ~ c_in(c_Pair(X0_16,X1_16,X0_17,X0_17),c_Transitive__Closure_Ortrancl(X0_14,X0_17),tc_prod(X0_17,X0_17))
| ~ c_in(c_Pair(X2_16,X0_16,X0_17,X0_17),c_Transitive__Closure_Ortrancl(X0_14,X0_17),tc_prod(X0_17,X0_17))
| c_in(c_Pair(X2_16,X1_16,X0_17,X0_17),c_Transitive__Closure_Ortrancl(X0_14,X0_17),tc_prod(X0_17,X0_17)) ),
inference(subtyping,[status(esa)],[c_52]) ).
cnf(c_183,plain,
( ~ c_in(X0_13,X0_14,tc_prod(X0_17,X0_17))
| c_in(X0_13,c_Transitive__Closure_Ortrancl(X0_14,X0_17),tc_prod(X0_17,X0_17)) ),
inference(subtyping,[status(esa)],[c_51]) ).
cnf(c_213,plain,
( ~ c_in(c_Pair(v_y,v_xaa,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| c_in(c_Pair(v_ya,v_x(v_xaa),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(instantiation,[status(thm)],[c_179]) ).
cnf(c_214,plain,
( ~ c_in(c_Pair(v_y,v_xaa,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| c_in(c_Pair(v_xaa,v_x(v_xaa),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(instantiation,[status(thm)],[c_178]) ).
cnf(c_220,plain,
( ~ c_in(c_Pair(v_ya,X0_16,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_ya,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(v_z,c_Comb_Odiamond__strip__lemmaE__1(v_r,X0_16,v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(instantiation,[status(thm)],[c_175]) ).
cnf(c_231,plain,
( ~ c_in(c_Pair(v_ya,X0_16,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_ya,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(X0_16,c_Comb_Odiamond__strip__lemmaE__1(v_r,X0_16,v_z,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(instantiation,[status(thm)],[c_176]) ).
cnf(c_274,plain,
( ~ c_in(c_Pair(v_x(v_xaa),X0_16,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xaa,v_x(v_xaa),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| c_in(c_Pair(v_xaa,X0_16,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(instantiation,[status(thm)],[c_182]) ).
cnf(c_311,plain,
( ~ c_in(c_Pair(v_ya,v_x(v_xaa),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_ya,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(v_z,c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(instantiation,[status(thm)],[c_220]) ).
cnf(c_325,plain,
( ~ c_in(c_Pair(v_ya,v_x(v_xaa),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_ya,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(v_x(v_xaa),c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(instantiation,[status(thm)],[c_231]) ).
cnf(c_438,plain,
( ~ c_in(c_Pair(v_x(v_xaa),c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(v_x(v_xaa),c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(instantiation,[status(thm)],[c_183]) ).
cnf(c_692,plain,
( ~ c_in(c_Pair(v_x(v_xaa),c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xaa,v_x(v_xaa),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| c_in(c_Pair(v_xaa,c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(instantiation,[status(thm)],[c_274]) ).
cnf(c_1249,plain,
( ~ c_in(c_Pair(v_z,c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xaa,c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(instantiation,[status(thm)],[c_177]) ).
cnf(c_1250,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1249,c_692,c_438,c_325,c_311,c_214,c_213,c_55,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COL121-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 21:50:06 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 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
% 0.49/1.17 % SZS status Started for theBenchmark.p
% 0.49/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.49/1.17
% 0.49/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.49/1.17
% 0.49/1.17 ------ iProver source info
% 0.49/1.17
% 0.49/1.17 git: date: 2024-05-02 19:28:25 +0000
% 0.49/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.49/1.17 git: non_committed_changes: false
% 0.49/1.17
% 0.49/1.17 ------ Parsing...successful
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 0.49/1.17
% 0.49/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.49/1.17 ------ Proving...
% 0.49/1.17 ------ Problem Properties
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17 clauses 9
% 0.49/1.17 conjectures 5
% 0.49/1.17 EPR 0
% 0.49/1.17 Horn 9
% 0.49/1.17 unary 2
% 0.49/1.17 binary 4
% 0.49/1.17 lits 19
% 0.49/1.17 lits eq 0
% 0.49/1.17 fd_pure 0
% 0.49/1.17 fd_pseudo 0
% 0.49/1.17 fd_cond 0
% 0.49/1.17 fd_pseudo_cond 0
% 0.49/1.17 AC symbols 0
% 0.49/1.17
% 0.49/1.17 ------ Input Options Time Limit: Unbounded
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17 ------
% 0.49/1.17 Current options:
% 0.49/1.17 ------
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17 ------ Proving...
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.49/1.17
% 0.49/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.49/1.17
% 0.49/1.17
%------------------------------------------------------------------------------