TSTP Solution File: SYN102-1.007.007 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SYN102-1.007.007 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n006.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 : Thu Jul 21 12:10:07 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
% 0.04/0.13 % Problem : SYN102-1.007.007 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.04/0.13 % Command : sos-script %s
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jul 12 01:17:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.37 ----- Otter 3.2, August 2001 -----
% 0.20/0.37 The process was started by sandbox2 on n006.cluster.edu,
% 0.20/0.37 Tue Jul 12 01:17:50 2022
% 0.20/0.37 The command was "./sos". The process ID is 2810.
% 0.20/0.37
% 0.20/0.37 set(prolog_style_variables).
% 0.20/0.37 set(auto).
% 0.20/0.37 dependent: set(auto1).
% 0.20/0.37 dependent: set(process_input).
% 0.20/0.37 dependent: clear(print_kept).
% 0.20/0.37 dependent: clear(print_new_demod).
% 0.20/0.37 dependent: clear(print_back_demod).
% 0.20/0.37 dependent: clear(print_back_sub).
% 0.20/0.37 dependent: set(control_memory).
% 0.20/0.37 dependent: assign(max_mem, 12000).
% 0.20/0.37 dependent: assign(pick_given_ratio, 4).
% 0.20/0.37 dependent: assign(stats_level, 1).
% 0.20/0.37 dependent: assign(pick_semantic_ratio, 3).
% 0.20/0.37 dependent: assign(sos_limit, 5000).
% 0.20/0.37 dependent: assign(max_weight, 60).
% 0.20/0.37 clear(print_given).
% 0.20/0.37
% 0.20/0.37 list(usable).
% 0.20/0.37
% 0.20/0.37 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=8.
% 0.20/0.37
% 0.20/0.37 This is a Horn set without equality. The strategy will
% 0.20/0.37 be hyperresolution, with satellites in sos and nuclei
% 0.20/0.37 in usable.
% 0.20/0.37
% 0.20/0.37 dependent: set(hyper_res).
% 0.20/0.37 dependent: clear(order_hyper).
% 0.20/0.37
% 0.20/0.37 ------------> process usable:
% 0.20/0.37
% 0.20/0.37 ------------> process sos:
% 0.20/0.37
% 0.20/0.37 ======= end of input processing =======
% 0.20/0.41
% 0.20/0.41
% 0.20/0.41 Failed to model usable list: disabling FINDER
% 0.20/0.41
% 0.20/0.41
% 0.20/0.41
% 0.20/0.41 -------------- Softie stats --------------
% 0.20/0.41
% 0.20/0.41 UPDATE_STOP: 300
% 0.20/0.41 SFINDER_TIME_LIMIT: 2
% 0.20/0.41 SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.41 number of clauses in intial UL: 57
% 0.20/0.41 number of clauses initially in problem: 71
% 0.20/0.41 percentage of clauses intially in UL: 80
% 0.20/0.41 percentage of distinct symbols occuring in initial UL: 97
% 0.20/0.41 percent of all initial clauses that are short: 98
% 0.20/0.41 absolute distinct symbol count: 39
% 0.20/0.41 distinct predicate count: 37
% 0.20/0.41 distinct function count: 0
% 0.20/0.41 distinct constant count: 2
% 0.20/0.41
% 0.20/0.41 ---------- no more Softie stats ----------
% 0.20/0.41
% 0.20/0.41
% 0.20/0.41
% 0.20/0.41 =========== 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 Modelling stopped after 300 given clauses and 0.00 seconds
% 0.20/0.54
% 0.20/0.54
% 0.20/0.54 -----> EMPTY CLAUSE at 0.14 sec ----> 3912 [hyper,3783,1,3782] {-} $F.
% 0.20/0.54
% 0.20/0.54 Length of proof is 27. Level of proof is 13.
% 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 [] {+} -p_0(a,a,a,a,a,a,a)| -q_0(a,a,a,a,a,a,a).
% 0.20/0.54 3 [] {+} p_0(A,B,C,D,E,F,G)| -q_1(A,B,C,D,E,F,G)| -q_2(A,B,C,D,E,F,G).
% 0.20/0.54 7 [] {+} p_2(A,B,C,D,E,F,G)| -q_3(A,B,C,D,E,F,G)| -q_4(A,B,C,D,E,F,G).
% 0.20/0.54 9 [] {+} p_3(A,B,C,D,E,F,G)| -q_4(A,B,C,D,E,F,G)| -q_5(A,B,C,D,E,F,G).
% 0.20/0.54 11 [] {+} p_4(A,B,C,D,E,F,G)| -q_5(A,B,C,D,E,F,G)| -q_6(A,B,C,D,E,F,G).
% 0.20/0.54 13 [] {+} p_5(A,B,C,D,E,F,G)| -q_6(A,B,C,D,E,F,G)| -q_7(A,B,C,D,E,F,G).
% 0.20/0.54 15 [] {+} p_6(A,B,C,D,E,F,G)| -q_7(A,B,C,D,E,F,G)| -q_8(A,B,C,D,E,F,G).
% 0.20/0.54 17 [] {+} p_7(A,B,C,D,E,F,G)| -q_8(A,B,C,D,E,F,G)| -q_9(A,B,C,D,E,F,G).
% 0.20/0.54 19 [] {+} p_8(A,B,C,D,E,F,G)| -q_9(A,B,C,D,E,F,G)| -q_10(A,B,C,D,E,F,G).
% 0.20/0.54 21 [] {+} p_9(A,B,C,D,E,F,G)| -q_10(A,B,C,D,E,F,G)| -q_11(A,B,C,D,E,F,G).
% 0.20/0.54 22 [] {+} p_10(A,B,C,D,E,F,G)| -p_11(A,B,C,D,E,F,G)| -p_12(A,B,C,D,E,F,G).
% 0.20/0.54 25 [] {+} p_11(A,B,C,D,E,F,G)| -q_12(A,B,C,D,E,F,G)| -q_13(A,B,C,D,E,F,G).
% 0.20/0.54 27 [] {+} q_0(A,B,C,D,E,F,G)| -q_1(A,B,C,D,E,F,G)| -p_2(A,B,C,D,E,F,G).
% 0.20/0.54 29 [] {+} q_1(A,B,C,D,E,F,G)| -q_2(A,B,C,D,E,F,G)| -p_3(A,B,C,D,E,F,G).
% 0.20/0.54 31 [] {+} q_2(A,B,C,D,E,F,G)| -q_3(A,B,C,D,E,F,G)| -p_4(A,B,C,D,E,F,G).
% 0.20/0.54 33 [] {+} q_3(A,B,C,D,E,F,G)| -q_4(A,B,C,D,E,F,G)| -p_5(A,B,C,D,E,F,G).
% 0.20/0.54 35 [] {+} q_4(A,B,C,D,E,F,G)| -q_5(A,B,C,D,E,F,G)| -p_6(A,B,C,D,E,F,G).
% 0.20/0.54 37 [] {+} q_5(A,B,C,D,E,F,G)| -q_6(A,B,C,D,E,F,G)| -p_7(A,B,C,D,E,F,G).
% 0.20/0.54 39 [] {+} q_6(A,B,C,D,E,F,G)| -q_7(A,B,C,D,E,F,G)| -p_8(A,B,C,D,E,F,G).
% 0.20/0.54 41 [] {+} q_7(A,B,C,D,E,F,G)| -q_8(A,B,C,D,E,F,G)| -p_9(A,B,C,D,E,F,G).
% 0.20/0.54 43 [] {+} q_8(A,B,C,D,E,F,G)| -q_9(A,B,C,D,E,F,G)| -p_10(A,B,C,D,E,F,G).
% 0.20/0.54 45 [] {+} q_9(A,B,C,D,E,F,G)| -q_10(A,B,C,D,E,F,G)| -p_11(A,B,C,D,E,F,G).
% 0.20/0.54 46 [] {+} q_10(A,B,C,D,E,F,G)| -p_11(A,B,C,D,E,F,G)| -q_12(A,B,C,D,E,F,G).
% 0.20/0.54 49 [] {+} q_11(A,B,C,D,E,F,G)| -q_12(A,B,C,D,E,F,G)| -p_13(A,B,C,D,E,F,G).
% 0.20/0.54 54 [] {+} p_12(A,B,C,D,E,F,G)| -nq_1(A)| -nq_2(B)| -nq_3(C)| -nq_4(D)| -nq_5(E)| -nq_6(F)| -nq_7(G).
% 0.20/0.54 55 [] {+} p_13(A,B,C,D,E,F,G)| -nq_1(A)| -nq_2(B)| -nq_3(C)| -nq_4(D)| -nq_5(E)| -nq_6(F)| -nq_7(G).
% 0.20/0.54 56 [] {+} q_12(A,B,C,D,E,F,G)| -nq_1(A)| -nq_2(B)| -nq_3(C)| -nq_4(D)| -nq_5(E)| -nq_6(F)| -nq_7(G).
% 0.20/0.54 57 [] {+} q_13(A,B,C,D,E,F,G)| -nq_1(A)| -nq_2(B)| -nq_3(C)| -nq_4(D)| -nq_5(E)| -nq_6(F)| -nq_7(G).
% 0.20/0.54 58 [] {-} nq_1(a).
% 0.20/0.54 60 [] {-} nq_2(a).
% 0.20/0.54 62 [] {-} nq_3(a).
% 0.20/0.54 64 [] {-} nq_4(a).
% 0.20/0.54 66 [] {-} nq_5(a).
% 0.20/0.54 68 [] {-} nq_6(a).
% 0.20/0.54 70 [] {-} nq_7(a).
% 0.20/0.54 135 [hyper,70,57,58,60,62,64,66,68] {-} q_13(a,a,a,a,a,a,a).
% 0.20/0.54 199 [hyper,70,56,58,60,62,64,66,68] {-} q_12(a,a,a,a,a,a,a).
% 0.20/0.54 263 [hyper,70,55,58,60,62,64,66,68] {-} p_13(a,a,a,a,a,a,a).
% 0.20/0.54 327 [hyper,70,54,58,60,62,64,66,68] {-} p_12(a,a,a,a,a,a,a).
% 0.20/0.54 647 [hyper,199,25,135] {-} p_11(a,a,a,a,a,a,a).
% 0.20/0.54 711 [hyper,263,49,199] {-} q_11(a,a,a,a,a,a,a).
% 0.20/0.54 966 [hyper,647,46,199] {-} q_10(a,a,a,a,a,a,a).
% 0.20/0.54 967 [hyper,647,22,327] {-} p_10(a,a,a,a,a,a,a).
% 0.20/0.54 1222 [hyper,966,45,647] {-} q_9(a,a,a,a,a,a,a).
% 0.20/0.54 1223 [hyper,966,21,711] {-} p_9(a,a,a,a,a,a,a).
% 0.20/0.54 1478 [hyper,1222,43,967] {-} q_8(a,a,a,a,a,a,a).
% 0.20/0.54 1479 [hyper,1222,19,966] {-} p_8(a,a,a,a,a,a,a).
% 0.20/0.54 1734 [hyper,1478,41,1223] {-} q_7(a,a,a,a,a,a,a).
% 0.20/0.54 1735 [hyper,1478,17,1222] {-} p_7(a,a,a,a,a,a,a).
% 0.20/0.54 2117 [hyper,1734,39,1479] {-} q_6(a,a,a,a,a,a,a).
% 0.20/0.54 2118 [hyper,1734,15,1478] {-} p_6(a,a,a,a,a,a,a).
% 0.20/0.54 2502 [hyper,2117,37,1735] {-} q_5(a,a,a,a,a,a,a).
% 0.20/0.54 2503 [hyper,2117,13,1734] {-} p_5(a,a,a,a,a,a,a).
% 0.20/0.54 2758 [hyper,2502,35,2118] {-} q_4(a,a,a,a,a,a,a).
% 0.20/0.54 2759 [hyper,2502,11,2117] {-} p_4(a,a,a,a,a,a,a).
% 0.20/0.54 3014 [hyper,2758,33,2503] {-} q_3(a,a,a,a,a,a,a).
% 0.20/0.54 3015 [hyper,2758,9,2502] {-} p_3(a,a,a,a,a,a,a).
% 0.20/0.54 3270 [hyper,3014,31,2759] {-} q_2(a,a,a,a,a,a,a).
% 0.20/0.54 3271 [hyper,3014,7,2758] {-} p_2(a,a,a,a,a,a,a).
% 0.20/0.54 3526 [hyper,3270,29,3015] {-} q_1(a,a,a,a,a,a,a).
% 0.20/0.54 3782 [hyper,3526,27,3271] {-} q_0(a,a,a,a,a,a,a).
% 0.20/0.54 3783 [hyper,3526,3,3270] {-} p_0(a,a,a,a,a,a,a).
% 0.20/0.54 3912 [hyper,3783,1,3782] {-} $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 That finishes the proof of the theorem.
% 0.20/0.54
% 0.20/0.54 Process 2810 finished Tue Jul 12 01:17:50 2022
%------------------------------------------------------------------------------