%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : COL103-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n005.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 : Wed Jul 27 12:48:15 EDT 2022
% Result : Unsatisfiable 1.64s 1.86s
% Output : Refutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 2
% Syntax : Number of clauses : 3 ( 3 unt; 0 nHn; 2 RR)
% Number of literals : 3 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 3 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_z,v_x),c_Comb_Ocomb_Oop_A_D_D(v_z,v_x),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('COL103-2.p',unknown),
[] ).
cnf(2,axiom,
c_in(c_Pair(A,A,B,B),c_Transitive__Closure_Ortrancl(C,B),tc_prod(B,B)),
file('COL103-2.p',unknown),
[] ).
cnf(3,plain,
$false,
inference(binary,[status(thm)],[2,1]),
[iquote('binary,2.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : COL103-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n005.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 : Wed Jul 27 02:22:20 EDT 2022
% 0.18/0.33 % CPUTime :
% 1.64/1.86
% 1.64/1.86 -------- PROOF --------
% 1.64/1.86 ----- Otter 3.3f, August 2004 -----
% 1.64/1.86 The process was started by sandbox2 on n005.cluster.edu,
% 1.64/1.86 Wed Jul 27 02:22:20 2022
% 1.64/1.86 The command was "./otter". The process ID is 17749.
% 1.64/1.86
% 1.64/1.86 set(prolog_style_variables).
% 1.64/1.86 set(auto).
% 1.64/1.86 dependent: set(auto1).
% 1.64/1.86 dependent: set(process_input).
% 1.64/1.86 dependent: clear(print_kept).
% 1.64/1.86 dependent: clear(print_new_demod).
% 1.64/1.86 dependent: clear(print_back_demod).
% 1.64/1.86 dependent: clear(print_back_sub).
% 1.64/1.86 dependent: set(control_memory).
% 1.64/1.86 dependent: assign(max_mem, 12000).
% 1.64/1.86 dependent: assign(pick_given_ratio, 4).
% 1.64/1.86 dependent: assign(stats_level, 1).
% 1.64/1.86 dependent: assign(max_seconds, 10800).
% 1.64/1.86 clear(print_given).
% 1.64/1.86
% 1.64/1.86 list(usable).
% 1.64/1.86 0 [] -c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_z,v_x),c_Comb_Ocomb_Oop_A_D_D(v_z,v_x),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.64/1.86 0 [] c_in(c_Pair(V_a,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 1.64/1.86 end_of_list.
% 1.64/1.86
% 1.64/1.86 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=1.
% 1.64/1.86
% 1.64/1.86 This is a Horn set without equality. The strategy will
% 1.64/1.86 be hyperresolution, with satellites in sos and nuclei
% 1.64/1.86 in usable.
% 1.64/1.86
% 1.64/1.86 dependent: set(hyper_res).
% 1.64/1.86 dependent: clear(order_hyper).
% 1.64/1.86
% 1.64/1.86 ------------> process usable:
% 1.64/1.86 ** KEPT (pick-wt=16): 1 [] -c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_z,v_x),c_Comb_Ocomb_Oop_A_D_D(v_z,v_x),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.64/1.86
% 1.64/1.86 ------------> process sos:
% 1.64/1.86 ** KEPT (pick-wt=12): 2 [] c_in(c_Pair(A,A,B,B),c_Transitive__Closure_Ortrancl(C,B),tc_prod(B,B)).
% 1.64/1.86
% 1.64/1.86 ----> UNIT CONFLICT at 0.00 sec ----> 3 [binary,2.1,1.1] $F.
% 1.64/1.86
% 1.64/1.86 Length of proof is 0. Level of proof is 0.
% 1.64/1.86
% 1.64/1.86 ---------------- PROOF ----------------
% 1.64/1.86 % SZS status Unsatisfiable
% 1.64/1.86 % SZS output start Refutation
% See solution above
% 1.64/1.86 ------------ end of proof -------------
% 1.64/1.86
% 1.64/1.86
% 1.64/1.86 Search stopped by max_proofs option.
% 1.64/1.86
% 1.64/1.86
% 1.64/1.86 Search stopped by max_proofs option.
% 1.64/1.86
% 1.64/1.86 ============ end of search ============
% 1.64/1.86
% 1.64/1.86 -------------- statistics -------------
% 1.64/1.86 clauses given 0
% 1.64/1.86 clauses generated 0
% 1.64/1.86 clauses kept 2
% 1.64/1.86 clauses forward subsumed 0
% 1.64/1.86 clauses back subsumed 0
% 1.64/1.86 Kbytes malloced 976
% 1.64/1.86
% 1.64/1.86 ----------- times (seconds) -----------
% 1.64/1.86 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.64/1.86 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.64/1.86 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.64/1.86
% 1.64/1.86 That finishes the proof of the theorem.
% 1.64/1.86
% 1.64/1.86 Process 17749 finished Wed Jul 27 02:22:22 2022
% 1.64/1.86 Otter interrupted
% 1.64/1.86 PROOF FOUND
%------------------------------------------------------------------------------