TSTP Solution File: COL121-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : COL121-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 02:09:58 EDT 2024
% Result : Unsatisfiable 79.81s 11.77s
% Output : CNFRefutation 79.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 25 ( 4 unt; 0 nHn; 25 RR)
% Number of literals : 66 ( 0 equ; 43 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 : 33 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_57,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/sandbox2/benchmark/theBenchmark.p',cls_Comb_Odiamond__strip__lemmaE_0) ).
cnf(c_58,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/sandbox2/benchmark/theBenchmark.p',cls_Comb_Odiamond__strip__lemmaE_1) ).
cnf(c_59,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/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl__trans_0) ).
cnf(c_60,negated_conjecture,
c_Comb_Odiamond(v_r,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_62,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_63,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_64,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(c_65,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(c_66,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(c_185,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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Transitive__Closure_Or__into__rtrancl_0) ).
cnf(c_17856,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_64]) ).
cnf(c_17859,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_65]) ).
cnf(c_18506,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_Comb_Odiamond(v_r,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(instantiation,[status(thm)],[c_58]) ).
cnf(c_18507,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_Comb_Odiamond(v_r,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(instantiation,[status(thm)],[c_57]) ).
cnf(c_18514,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(v_xaa,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,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_20623,plain,
( ~ c_in(c_Pair(v_ya,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_z,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Comb_Odiamond(v_r,t_a)
| c_in(c_Pair(X0,c_Comb_Odiamond__strip__lemmaE__1(v_r,X0,v_z,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(instantiation,[status(thm)],[c_18506]) ).
cnf(c_20637,plain,
( ~ c_in(c_Pair(v_ya,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_z,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Comb_Odiamond(v_r,t_a)
| c_in(c_Pair(v_z,c_Comb_Odiamond__strip__lemmaE__1(v_r,X0,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_18507]) ).
cnf(c_20677,plain,
( ~ c_in(c_Pair(v_x(v_xaa),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,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,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(instantiation,[status(thm)],[c_18514]) ).
cnf(c_23717,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_Comb_Odiamond(v_r,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_20623]) ).
cnf(c_23727,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_Comb_Odiamond(v_r,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_20637]) ).
cnf(c_23753,plain,
( ~ c_in(c_Pair(v_x(v_xaa),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(v_x(v_xaa),X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(instantiation,[status(thm)],[c_185]) ).
cnf(c_28446,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_23753]) ).
cnf(c_32581,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_66]) ).
cnf(c_40826,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_20677]) ).
cnf(c_40827,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_40826,c_32581,c_28446,c_23727,c_23717,c_17859,c_17856,c_63,c_62,c_60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL121-1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n004.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 : Thu May 2 21:23:33 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 79.81/11.77 % SZS status Started for theBenchmark.p
% 79.81/11.77 % SZS status Unsatisfiable for theBenchmark.p
% 79.81/11.77
% 79.81/11.77 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 79.81/11.77
% 79.81/11.77 ------ iProver source info
% 79.81/11.77
% 79.81/11.77 git: date: 2024-05-02 19:28:25 +0000
% 79.81/11.77 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 79.81/11.77 git: non_committed_changes: false
% 79.81/11.77
% 79.81/11.77 ------ Parsing...successful
% 79.81/11.77
% 79.81/11.77
% 79.81/11.77
% 79.81/11.77 ------ Preprocessing...
% 79.81/11.77
% 79.81/11.77 ------ Preprocessing...
% 79.81/11.77
% 79.81/11.77 ------ Preprocessing...
% 79.81/11.77 ------ Proving...
% 79.81/11.77 ------ Problem Properties
% 79.81/11.77
% 79.81/11.77
% 79.81/11.77 clauses 1337
% 79.81/11.77 conjectures 7
% 79.81/11.77 EPR 1047
% 79.81/11.77 Horn 1309
% 79.81/11.77 unary 199
% 79.81/11.77 binary 1074
% 79.81/11.77 lits 2542
% 79.81/11.77 lits eq 162
% 79.81/11.77 fd_pure 0
% 79.81/11.77 fd_pseudo 0
% 79.81/11.77 fd_cond 21
% 79.81/11.77 fd_pseudo_cond 39
% 79.81/11.77 AC symbols 0
% 79.81/11.77
% 79.81/11.77 ------ Input Options Time Limit: Unbounded
% 79.81/11.77
% 79.81/11.77
% 79.81/11.77 ------
% 79.81/11.77 Current options:
% 79.81/11.77 ------
% 79.81/11.77
% 79.81/11.77
% 79.81/11.77
% 79.81/11.77
% 79.81/11.77 ------ Proving...
% 79.81/11.77
% 79.81/11.77
% 79.81/11.77 % SZS status Unsatisfiable for theBenchmark.p
% 79.81/11.77
% 79.81/11.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 79.81/11.77
% 79.81/11.77
%------------------------------------------------------------------------------