TSTP Solution File: SYO664-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SYO664-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n028.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 19:50:14 EDT 2022
% Result : Unsatisfiable 0.38s 0.54s
% Output : Refutation 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO664-1 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n028.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 : Fri Jul 8 20:28:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.50 ----- Otter 3.2, August 2001 -----
% 0.21/0.50 The process was started by sandbox on n028.cluster.edu,
% 0.21/0.50 Fri Jul 8 20:28:10 2022
% 0.21/0.50 The command was "./sos". The process ID is 21706.
% 0.21/0.50
% 0.21/0.50 set(prolog_style_variables).
% 0.21/0.50 set(auto).
% 0.21/0.50 dependent: set(auto1).
% 0.21/0.50 dependent: set(process_input).
% 0.21/0.50 dependent: clear(print_kept).
% 0.21/0.50 dependent: clear(print_new_demod).
% 0.21/0.50 dependent: clear(print_back_demod).
% 0.21/0.50 dependent: clear(print_back_sub).
% 0.21/0.50 dependent: set(control_memory).
% 0.21/0.50 dependent: assign(max_mem, 12000).
% 0.21/0.50 dependent: assign(pick_given_ratio, 4).
% 0.21/0.50 dependent: assign(stats_level, 1).
% 0.21/0.50 dependent: assign(pick_semantic_ratio, 3).
% 0.21/0.50 dependent: assign(sos_limit, 5000).
% 0.21/0.50 dependent: assign(max_weight, 60).
% 0.21/0.50 clear(print_given).
% 0.21/0.50
% 0.21/0.50 list(usable).
% 0.21/0.50
% 0.21/0.50 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=14.
% 0.21/0.50
% 0.21/0.50 This is a non-Horn set without equality. The strategy
% 0.21/0.50 will be ordered hyper_res, ur_res, unit deletion, and
% 0.21/0.50 factoring, with satellites in sos and nuclei in usable.
% 0.21/0.50
% 0.21/0.50 dependent: set(hyper_res).
% 0.21/0.50 dependent: set(factor).
% 0.21/0.50 dependent: set(unit_deletion).
% 0.21/0.50
% 0.21/0.50 ------------> process usable:
% 0.21/0.50
% 0.21/0.50 ------------> process sos:
% 0.21/0.50
% 0.21/0.50 ======= end of input processing =======
% 0.35/0.52
% 0.35/0.52 Model 1 (0.00 seconds, 0 Inserts)
% 0.35/0.52
% 0.35/0.52 Stopped by limit on number of solutions
% 0.35/0.52
% 0.35/0.52
% 0.35/0.52 -------------- Softie stats --------------
% 0.35/0.52
% 0.35/0.52 UPDATE_STOP: 300
% 0.35/0.52 SFINDER_TIME_LIMIT: 2
% 0.35/0.52 SHORT_CLAUSE_CUTOFF: 4
% 0.35/0.52 number of clauses in intial UL: 39
% 0.35/0.52 number of clauses initially in problem: 40
% 0.35/0.52 percentage of clauses intially in UL: 97
% 0.35/0.52 percentage of distinct symbols occuring in initial UL: 100
% 0.35/0.52 percent of all initial clauses that are short: 97
% 0.35/0.52 absolute distinct symbol count: 8
% 0.35/0.52 distinct predicate count: 3
% 0.35/0.52 distinct function count: 3
% 0.35/0.52 distinct constant count: 2
% 0.35/0.52
% 0.35/0.52 ---------- no more Softie stats ----------
% 0.35/0.52
% 0.35/0.52
% 0.35/0.52
% 0.35/0.52 =========== start of search ===========
% 0.38/0.54
% 0.38/0.54 -------- PROOF --------
% 0.38/0.54 % SZS status Unsatisfiable
% 0.38/0.54 % SZS output start Refutation
% 0.38/0.54
% 0.38/0.54 Model 2 (0.00 seconds, 0 Inserts)
% 0.38/0.54
% 0.38/0.54 Stopped by limit on number of solutions
% 0.38/0.54
% 0.38/0.54 -----> EMPTY CLAUSE at 0.15 sec ----> 59 [hyper,58,16,51,57,57,58,58,57,51,58,57,51,51] {-} $F.
% 0.38/0.54
% 0.38/0.54 Length of proof is 19. Level of proof is 10.
% 0.38/0.54
% 0.38/0.54 ---------------- PROOF ----------------
% 0.38/0.54 % SZS status Unsatisfiable
% 0.38/0.54 % SZS output start Refutation
% 0.38/0.54
% 0.38/0.54 1 [] {+} -'E'(s('0'),f(suc(A)))| -'E'(s('0'),f(A))| -'E'(s('0'),f(suc(B)))| -'E'(s('0'),f(suc(C)))| -'E'(s('0'),f(D))| -'E'(s('0'),f(suc(D)))| -iLEQ(suc(D),suc(C))| -'E'(s('0'),f(C))| -iLEQ(suc(E),suc(A))| -'E'(s('0'),f(B))| -'E'(s('0'),f(E))| -iLEQ(suc(A),suc(B))| -iLEQ(suc(C),suc(E))| -'E'(s('0'),f(suc(E))).
% 0.38/0.54 2 [] {+} -'LE'(f(z),'0').
% 0.38/0.54 3 [] {+} -'LE'(f(A),s(s('0')))|'E'(s('0'),f(A))|'LE'(f(A),s('0')).
% 0.38/0.54 4 [] {+} -'E'('0',f(A))| -'E'('0',f(suc(B)))| -'E'('0',f(suc(C)))| -iLEQ(suc(C),suc(B))| -iLEQ(suc(B),suc(D))| -'E'('0',f(suc(A)))| -'E'('0',f(C))| -iLEQ(suc(D),suc(A))| -'E'('0',f(E))| -iLEQ(suc(A),suc(E))| -'E'('0',f(suc(D)))| -'E'('0',f(B))| -'E'('0',f(suc(E)))| -'E'('0',f(D)).
% 0.38/0.54 5 [] {+} -'E'('0',f(A))| -'E'('0',f(suc(A)))|iLEQ(suc(A),suc(A)).
% 0.38/0.54 6 [] {+} -'LE'(f(suc(A)),s('0'))|'E'('0',f(suc(A)))|'LE'(f(A),'0').
% 0.38/0.54 7 [] {+} -'LE'(f(A),s('0'))|'E'('0',f(A))|'LE'(f(A),'0').
% 0.38/0.54 8 [] {+} -'E'(s('0'),f(A))| -'E'(s('0'),f(suc(A)))|iLEQ(suc(A),suc(A)).
% 0.38/0.54 9 [] {+} -'LE'(f(suc(A)),s(s('0')))|'E'(s('0'),f(suc(A)))|'LE'(f(A),s('0')).
% 0.38/0.54 12 [factor,1.1.6,factor_simp,factor_simp,factor_simp,factor_simp] {+} -'E'(s('0'),f(suc(A)))| -'E'(s('0'),f(A))| -'E'(s('0'),f(suc(B)))| -iLEQ(suc(A),suc(B))| -'E'(s('0'),f(B))| -iLEQ(suc(C),suc(A))| -'E'(s('0'),f(C))| -iLEQ(suc(B),suc(C))| -'E'(s('0'),f(suc(C))).
% 0.38/0.54 16 [factor,4.3.13,factor_simp] {+} -'E'('0',f(A))| -'E'('0',f(suc(B)))| -'E'('0',f(suc(C)))| -iLEQ(suc(C),suc(B))| -iLEQ(suc(B),suc(D))| -'E'('0',f(suc(A)))| -'E'('0',f(C))| -iLEQ(suc(D),suc(A))| -iLEQ(suc(A),suc(C))| -'E'('0',f(suc(D)))| -'E'('0',f(B))| -'E'('0',f(D)).
% 0.38/0.54 40 [] {-} 'LE'(f(A),s(s('0'))).
% 0.38/0.54 41 [hyper,40,9] {-} 'E'(s('0'),f(suc(A)))|'LE'(f(A),s('0')).
% 0.38/0.54 42 [hyper,40,3] {-} 'E'(s('0'),f(A))|'LE'(f(A),s('0')).
% 0.38/0.54 43 [hyper,42,7] {-} 'E'(s('0'),f(A))|'E'('0',f(A))|'LE'(f(A),'0').
% 0.38/0.54 44 [hyper,42,6] {-} 'E'(s('0'),f(suc(A)))|'E'('0',f(suc(A)))|'LE'(f(A),'0').
% 0.38/0.54 45 [hyper,41,7] {-} 'E'(s('0'),f(suc(A)))|'E'('0',f(A))|'LE'(f(A),'0').
% 0.38/0.54 46 [hyper,41,6] {-} 'E'(s('0'),f(suc(suc(A))))|'E'('0',f(suc(A)))|'LE'(f(A),'0').
% 0.38/0.54 47 [hyper,43,2] {-} 'E'(s('0'),f(z))|'E'('0',f(z)).
% 0.38/0.54 48 [hyper,44,2] {-} 'E'(s('0'),f(suc(z)))|'E'('0',f(suc(z))).
% 0.38/0.54 49 [hyper,45,2] {+} 'E'(s('0'),f(suc(z)))|'E'('0',f(z)).
% 0.38/0.54 50 [hyper,49,8,47,factor_simp] {-} 'E'('0',f(z))|iLEQ(suc(z),suc(z)).
% 0.38/0.54 51 [hyper,50,12,49,47,49,50,47,50,47,49,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] {+} 'E'('0',f(z)).
% 0.38/0.54 52 [hyper,46,2] {-} 'E'(s('0'),f(suc(suc(z))))|'E'('0',f(suc(z))).
% 0.38/0.54 53 [hyper,48,5,51] {+} 'E'(s('0'),f(suc(z)))|iLEQ(suc(z),suc(z)).
% 0.38/0.54 54 [hyper,53,16,51,48,48,53,53,48,51,53,48,51,51,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] {-} 'E'(s('0'),f(suc(z))).
% 0.38/0.54 55 [hyper,52,8,54] {+} 'E'('0',f(suc(z)))|iLEQ(suc(suc(z)),suc(suc(z))).
% 0.38/0.54 57 [hyper,55,12,52,54,52,55,54,55,54,52,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] {-} 'E'('0',f(suc(z))).
% 0.38/0.54 58 [hyper,57,5,51] {+} iLEQ(suc(z),suc(z)).
% 0.38/0.54 59 [hyper,58,16,51,57,57,58,58,57,51,58,57,51,51] {-} $F.
% 0.38/0.54
% 0.38/0.54 % SZS output end Refutation
% 0.38/0.54 ------------ end of proof -------------
% 0.38/0.54
% 0.38/0.54
% 0.38/0.54 Search stopped by max_proofs option.
% 0.38/0.54
% 0.38/0.54
% 0.38/0.54 Search stopped by max_proofs option.
% 0.38/0.54
% 0.38/0.54 ============ end of search ============
% 0.38/0.54
% 0.38/0.54 ----------- soft-scott stats ----------
% 0.38/0.54
% 0.38/0.54 true clauses given 4 (22.2%)
% 0.38/0.54 false clauses given 14
% 0.38/0.54
% 0.38/0.54 FALSE TRUE
% 0.38/0.54 tot: 0 0 (-nan% true)
% 0.38/0.54
% 0.38/0.54
% 0.38/0.54 Model 2 (0.00 seconds, 0 Inserts)
% 0.38/0.54
% 0.38/0.54 That finishes the proof of the theorem.
% 0.38/0.54
% 0.38/0.54 Process 21706 finished Fri Jul 8 20:28:10 2022
%------------------------------------------------------------------------------