TSTP Solution File: NUM852+2 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : NUM852+2 : TPTP v8.1.0. Released v4.1.0.
% 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 : Mon Jul 18 14:22:40 EDT 2022
% Result : Theorem 0.37s 0.55s
% Output : Refutation 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM852+2 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : sos-script %s
% 0.12/0.32 % Computer : n023.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Tue Jul 5 21:48:27 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.34 ----- Otter 3.2, August 2001 -----
% 0.12/0.34 The process was started by sandbox on n023.cluster.edu,
% 0.12/0.34 Tue Jul 5 21:48:27 2022
% 0.12/0.34 The command was "./sos". The process ID is 21717.
% 0.12/0.34
% 0.12/0.34 set(prolog_style_variables).
% 0.12/0.34 set(auto).
% 0.12/0.34 dependent: set(auto1).
% 0.12/0.34 dependent: set(process_input).
% 0.12/0.34 dependent: clear(print_kept).
% 0.12/0.34 dependent: clear(print_new_demod).
% 0.12/0.34 dependent: clear(print_back_demod).
% 0.12/0.34 dependent: clear(print_back_sub).
% 0.12/0.34 dependent: set(control_memory).
% 0.12/0.34 dependent: assign(max_mem, 12000).
% 0.12/0.34 dependent: assign(pick_given_ratio, 4).
% 0.12/0.34 dependent: assign(stats_level, 1).
% 0.12/0.34 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.34 dependent: assign(sos_limit, 5000).
% 0.12/0.34 dependent: assign(max_weight, 60).
% 0.12/0.34 clear(print_given).
% 0.12/0.34
% 0.12/0.34 formula_list(usable).
% 0.12/0.34
% 0.12/0.34 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 0.12/0.34
% 0.12/0.34 This ia a non-Horn set with equality. The strategy will be
% 0.12/0.34 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.34 unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.34 clauses in usable.
% 0.12/0.34
% 0.12/0.34 dependent: set(knuth_bendix).
% 0.12/0.34 dependent: set(para_from).
% 0.12/0.34 dependent: set(para_into).
% 0.12/0.34 dependent: clear(para_from_right).
% 0.12/0.34 dependent: clear(para_into_right).
% 0.12/0.34 dependent: set(para_from_vars).
% 0.12/0.34 dependent: set(eq_units_both_ways).
% 0.12/0.34 dependent: set(dynamic_demod_all).
% 0.12/0.34 dependent: set(dynamic_demod).
% 0.12/0.34 dependent: set(order_eq).
% 0.12/0.34 dependent: set(back_demod).
% 0.12/0.34 dependent: set(lrpo).
% 0.12/0.34 dependent: set(hyper_res).
% 0.12/0.34 dependent: set(unit_deletion).
% 0.12/0.34 dependent: set(factor).
% 0.12/0.34
% 0.12/0.34 ------------> process usable:
% 0.12/0.34
% 0.12/0.34 ------------> process sos:
% 0.12/0.34 Following clause subsumed by 28 during input processing: 0 [copy,28,flip.1] {-} vmul(A,B)=vmul(B,A).
% 0.12/0.34 Following clause subsumed by 31 during input processing: 0 [copy,31,flip.1] {-} A=A.
% 0.12/0.34 Following clause subsumed by 29 during input processing: 0 [copy,32,flip.1] {-} vmul(vsucc(A),B)=vplus(vmul(A,B),B).
% 0.12/0.34
% 0.12/0.34 ======= end of input processing =======
% 0.37/0.55
% 0.37/0.55 Model 1 (0.00 seconds, 0 Inserts)
% 0.37/0.55
% 0.37/0.55 Stopped by limit on number of solutions
% 0.37/0.55
% 0.37/0.55
% 0.37/0.55 -------------- Softie stats --------------
% 0.37/0.55
% 0.37/0.55 UPDATE_STOP: 300
% 0.37/0.55 SFINDER_TIME_LIMIT: 2
% 0.37/0.55 SHORT_CLAUSE_CUTOFF: 4
% 0.37/0.55 number of clauses in intial UL: 15
% 0.37/0.55 number of clauses initially in problem: 26
% 0.37/0.55 percentage of clauses intially in UL: 57
% 0.37/0.55 percentage of distinct symbols occuring in initial UL: 91
% 0.37/0.55 percent of all initial clauses that are short: 100
% 0.37/0.55 absolute distinct symbol count: 12
% 0.37/0.55 distinct predicate count: 3
% 0.37/0.55 distinct function count: 6
% 0.37/0.55 distinct constant count: 3
% 0.37/0.55
% 0.37/0.55 ---------- no more Softie stats ----------
% 0.37/0.55
% 0.37/0.55
% 0.37/0.55
% 0.37/0.55 Stopped by limit on insertions
% 0.37/0.55
% 0.37/0.55 =========== start of search ===========
% 0.37/0.55
% 0.37/0.55 -------- PROOF --------
% 0.37/0.55 % SZS status Theorem
% 0.37/0.55 % SZS output start Refutation
% 0.37/0.55
% 0.37/0.55 ----> UNIT CONFLICT at 0.18 sec ----> 40 [binary,39.1,1.1] {+} $F.
% 0.37/0.55
% 0.37/0.55 Length of proof is 5. Level of proof is 4.
% 0.37/0.55
% 0.37/0.55 ---------------- PROOF ----------------
% 0.37/0.55 % SZS status Theorem
% 0.37/0.55 % SZS output start Refutation
% 0.37/0.55
% 0.37/0.55 1 [] {+} -greater(vmul(vd481,vd469),vmul(vd480,vd469)).
% 0.37/0.55 3 [] {+} -greater(A,B)|greater(vplus(vmul(B,vd469),vmul(vskolem9(A,B),vd469)),vmul(B,vd469)).
% 0.37/0.55 4 [] {-} -greater(A,B)|vmul(vplus(B,vskolem9(A,B)),vd469)=vplus(vmul(B,vd469),vmul(vskolem9(A,B),vd469)).
% 0.37/0.55 5 [copy,4,flip.2] {+} -greater(A,B)|vplus(vmul(B,vd469),vmul(vskolem9(A,B),vd469))=vmul(vplus(B,vskolem9(A,B)),vd469).
% 0.37/0.55 8 [] {-} -greater(A,B)|A=vplus(B,vskolem9(A,B)).
% 0.37/0.55 9 [copy,8,flip.2] {+} -greater(A,B)|vplus(B,vskolem9(A,B))=A.
% 0.37/0.55 21 [] {-} greater(vd481,vd480).
% 0.37/0.55 36,35 [hyper,21,9] {-} vplus(vd480,vskolem9(vd481,vd480))=vd481.
% 0.37/0.55 38,37 [hyper,21,5,demod,36] {-} vplus(vmul(vd480,vd469),vmul(vskolem9(vd481,vd480),vd469))=vmul(vd481,vd469).
% 0.37/0.55 39 [hyper,21,3,demod,38] {-} greater(vmul(vd481,vd469),vmul(vd480,vd469)).
% 0.37/0.55 40 [binary,39.1,1.1] {+} $F.
% 0.37/0.55
% 0.37/0.55 % SZS output end Refutation
% 0.37/0.55 ------------ end of proof -------------
% 0.37/0.55
% 0.37/0.55
% 0.37/0.55 Search stopped by max_proofs option.
% 0.37/0.55
% 0.37/0.55
% 0.37/0.55 Search stopped by max_proofs option.
% 0.37/0.55
% 0.37/0.55 ============ end of search ============
% 0.37/0.55
% 0.37/0.55 ----------- soft-scott stats ----------
% 0.37/0.55
% 0.37/0.55 true clauses given 0 (0.0%)
% 0.37/0.55 false clauses given 1
% 0.37/0.55
% 0.37/0.55 FALSE TRUE
% 0.37/0.55 3 1 1
% 0.37/0.55 7 1 0
% 0.37/0.55 9 0 1
% 0.37/0.55 10 2 0
% 0.37/0.55 11 1 0
% 0.37/0.55 13 1 0
% 0.37/0.55 tot: 6 2 (25.0% true)
% 0.37/0.55
% 0.37/0.55
% 0.37/0.55 Model 1 (0.00 seconds, 0 Inserts)
% 0.37/0.55
% 0.37/0.55 That finishes the proof of the theorem.
% 0.37/0.55
% 0.37/0.55 Process 21717 finished Tue Jul 5 21:48:27 2022
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