%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : COL110-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n023.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 : 600s
% DateTime : Fri Jul 15 00:42:16 EDT 2022
% Result : Unsatisfiable 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : COL110-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n023.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 : 600
% 0.13/0.34 % DateTime : Tue May 31 09:44:41 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 ----- Otter 3.2, August 2001 -----
% 0.13/0.36 The process was started by sandbox2 on n023.cluster.edu,
% 0.13/0.36 Tue May 31 09:44:41 2022
% 0.13/0.36 The command was "./sos". The process ID is 32023.
% 0.13/0.36
% 0.13/0.36 set(prolog_style_variables).
% 0.13/0.36 set(auto).
% 0.13/0.36 dependent: set(auto1).
% 0.13/0.36 dependent: set(process_input).
% 0.13/0.36 dependent: clear(print_kept).
% 0.13/0.36 dependent: clear(print_new_demod).
% 0.13/0.36 dependent: clear(print_back_demod).
% 0.13/0.36 dependent: clear(print_back_sub).
% 0.13/0.36 dependent: set(control_memory).
% 0.13/0.36 dependent: assign(max_mem, 12000).
% 0.13/0.36 dependent: assign(pick_given_ratio, 4).
% 0.13/0.36 dependent: assign(stats_level, 1).
% 0.13/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.36 dependent: assign(sos_limit, 5000).
% 0.13/0.36 dependent: assign(max_weight, 60).
% 0.13/0.36 clear(print_given).
% 0.13/0.36
% 0.13/0.36 list(usable).
% 0.13/0.36
% 0.13/0.36 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.13/0.36
% 0.13/0.36 This is a Horn set without equality. The strategy will
% 0.13/0.36 be hyperresolution, with satellites in sos and nuclei
% 0.13/0.36 in usable.
% 0.13/0.36
% 0.13/0.36 dependent: set(hyper_res).
% 0.13/0.36 dependent: clear(order_hyper).
% 0.13/0.36
% 0.13/0.36 ------------> process usable:
% 0.13/0.36
% 0.13/0.36 ------------> process sos:
% 0.13/0.36
% 0.13/0.36 ======= end of input processing =======
% 0.13/0.39
% 0.13/0.39 Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.39
% 0.13/0.39 Stopped by limit on number of solutions
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 -------------- Softie stats --------------
% 0.13/0.39
% 0.13/0.39 UPDATE_STOP: 300
% 0.13/0.39 SFINDER_TIME_LIMIT: 2
% 0.13/0.39 SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.39 number of clauses in intial UL: 6
% 0.13/0.39 number of clauses initially in problem: 8
% 0.13/0.39 percentage of clauses intially in UL: 75
% 0.13/0.39 percentage of distinct symbols occuring in initial UL: 100
% 0.13/0.39 percent of all initial clauses that are short: 100
% 0.13/0.39 absolute distinct symbol count: 14
% 0.13/0.39 distinct predicate count: 1
% 0.13/0.39 distinct function count: 5
% 0.13/0.39 distinct constant count: 8
% 0.13/0.39
% 0.13/0.39 ---------- no more Softie stats ----------
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 =========== start of search ===========
% 0.20/0.54
% 0.20/0.54 -------- PROOF --------
% 0.20/0.54 % SZS status Unsatisfiable
% 0.20/0.54 % SZS output start Refutation
% 0.20/0.54
% 0.20/0.54 -----> EMPTY CLAUSE at 0.16 sec ----> 1862 [hyper,57,1,35] {-} $F.
% 0.20/0.54
% 0.20/0.54 Length of proof is 6. Level of proof is 2.
% 0.20/0.54
% 0.20/0.54 ---------------- PROOF ----------------
% 0.20/0.54 % SZS status Unsatisfiable
% 0.20/0.54 % SZS output start Refutation
% 0.20/0.54
% 0.20/0.54 1 [] {+} -c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb,v_wa),A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))| -c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya,v_w),A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.20/0.54 2 [] {+} c_in(c_Pair(v_ya,v_xb(A),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))| -c_in(c_Pair(v_x,A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.20/0.54 3 [] {+} c_in(c_Pair(A,v_xb(A),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))| -c_in(c_Pair(v_x,A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.20/0.54 4 [] {+} c_in(c_Pair(v_w,v_xaa(A),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))| -c_in(c_Pair(v_z,A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.20/0.54 5 [] {+} c_in(c_Pair(A,v_xaa(A),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))| -c_in(c_Pair(v_z,A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.20/0.54 6 [] {+} -c_in(c_Pair(A,B,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))| -c_in(c_Pair(C,D,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(C,A),c_Comb_Ocomb_Oop_A_D_D(D,B),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.20/0.54 7 [] {-} c_in(c_Pair(v_x,v_yb,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.20/0.54 8 [] {-} c_in(c_Pair(v_z,v_wa,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.20/0.54 10 [hyper,7,3] {-} c_in(c_Pair(v_yb,v_xb(v_yb),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.20/0.54 11 [hyper,7,2] {-} c_in(c_Pair(v_ya,v_xb(v_yb),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.20/0.54 15 [hyper,8,5] {-} c_in(c_Pair(v_wa,v_xaa(v_wa),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.20/0.54 16 [hyper,8,4] {-} c_in(c_Pair(v_w,v_xaa(v_wa),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.20/0.54 35 [hyper,15,6,10] {-} c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb,v_wa),c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb),v_xaa(v_wa)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.20/0.54 57 [hyper,16,6,11] {-} c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya,v_w),c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb),v_xaa(v_wa)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 0.20/0.54 1862 [hyper,57,1,35] {-} $F.
% 0.20/0.54
% 0.20/0.54 % SZS output end Refutation
% 0.20/0.54 ------------ end of proof -------------
% 0.20/0.54
% 0.20/0.54
% 0.20/0.54 Search stopped by max_proofs option.
% 0.20/0.54
% 0.20/0.54
% 0.20/0.54 Search stopped by max_proofs option.
% 0.20/0.54
% 0.20/0.54 ============ end of search ============
% 0.20/0.54
% 0.20/0.54 ----------- soft-scott stats ----------
% 0.20/0.54
% 0.20/0.54 true clauses given 0 (0.0%)
% 0.20/0.54 false clauses given 43
% 0.20/0.54
% 0.20/0.54 FALSE TRUE
% 0.20/0.54 16 1 0
% 0.20/0.54 18 16 0
% 0.20/0.54 19 94 0
% 0.20/0.54 20 184 0
% 0.20/0.54 21 112 0
% 0.20/0.54 22 16 0
% 0.20/0.54 23 136 0
% 0.20/0.54 24 384 0
% 0.20/0.54 25 448 0
% 0.20/0.54 26 196 0
% 0.20/0.54 27 16 0
% 0.20/0.54 28 64 0
% 0.20/0.54 29 56 0
% 0.20/0.54 32 4 0
% 0.20/0.54 tot: 1727 0 (0.0% true)
% 0.20/0.54
% 0.20/0.54
% 0.20/0.54 Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.54
% 0.20/0.54 That finishes the proof of the theorem.
% 0.20/0.54
% 0.20/0.54 Process 32023 finished Tue May 31 09:44:42 2022
%------------------------------------------------------------------------------