TSTP Solution File: SET047+1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET047+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n017.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 : Tue Jul 19 05:14:54 EDT 2022
% Result : Theorem 0.76s 0.98s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET047+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.14 % Command : sos-script %s
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jul 10 17:28:33 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.38 ----- Otter 3.2, August 2001 -----
% 0.14/0.38 The process was started by sandbox on n017.cluster.edu,
% 0.14/0.38 Sun Jul 10 17:28:33 2022
% 0.14/0.38 The command was "./sos". The process ID is 31161.
% 0.14/0.38
% 0.14/0.38 set(prolog_style_variables).
% 0.14/0.38 set(auto).
% 0.14/0.38 dependent: set(auto1).
% 0.14/0.38 dependent: set(process_input).
% 0.14/0.38 dependent: clear(print_kept).
% 0.14/0.38 dependent: clear(print_new_demod).
% 0.14/0.38 dependent: clear(print_back_demod).
% 0.14/0.38 dependent: clear(print_back_sub).
% 0.14/0.38 dependent: set(control_memory).
% 0.14/0.38 dependent: assign(max_mem, 12000).
% 0.14/0.38 dependent: assign(pick_given_ratio, 4).
% 0.14/0.38 dependent: assign(stats_level, 1).
% 0.14/0.38 dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.38 dependent: assign(sos_limit, 5000).
% 0.14/0.38 dependent: assign(max_weight, 60).
% 0.14/0.38 clear(print_given).
% 0.14/0.38
% 0.14/0.38 formula_list(usable).
% 0.14/0.38
% 0.14/0.38 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 0.14/0.38
% 0.14/0.38 This is a non-Horn set without equality. The strategy
% 0.14/0.38 will be ordered hyper_res, ur_res, unit deletion, and
% 0.14/0.38 factoring, with satellites in sos and nuclei in usable.
% 0.14/0.38
% 0.14/0.38 dependent: set(hyper_res).
% 0.14/0.38 dependent: set(factor).
% 0.14/0.38 dependent: set(unit_deletion).
% 0.14/0.38
% 0.14/0.38 ------------> process usable:
% 0.14/0.38
% 0.14/0.38 ------------> process sos:
% 0.14/0.38
% 0.14/0.38 ======= end of input processing =======
% 0.21/0.41
% 0.21/0.41 Model 1 (0.00 seconds, 0 Inserts)
% 0.21/0.41
% 0.21/0.41 Stopped by limit on number of solutions
% 0.21/0.41
% 0.21/0.41
% 0.21/0.41 -------------- Softie stats --------------
% 0.21/0.41
% 0.21/0.41 UPDATE_STOP: 300
% 0.21/0.41 SFINDER_TIME_LIMIT: 2
% 0.21/0.41 SHORT_CLAUSE_CUTOFF: 4
% 0.21/0.41 number of clauses in intial UL: 5
% 0.21/0.41 number of clauses initially in problem: 8
% 0.21/0.41 percentage of clauses intially in UL: 62
% 0.21/0.41 percentage of distinct symbols occuring in initial UL: 100
% 0.21/0.41 percent of all initial clauses that are short: 100
% 0.21/0.41 absolute distinct symbol count: 5
% 0.21/0.41 distinct predicate count: 2
% 0.21/0.41 distinct function count: 1
% 0.21/0.41 distinct constant count: 2
% 0.21/0.41
% 0.21/0.41 ---------- no more Softie stats ----------
% 0.21/0.41
% 0.21/0.41
% 0.21/0.41
% 0.21/0.41 Model 2 (0.00 seconds, 0 Inserts)
% 0.21/0.41
% 0.21/0.41 Stopped by limit on number of solutions
% 0.21/0.41
% 0.21/0.41 =========== start of search ===========
% 0.76/0.98
% 0.76/0.98 -------- PROOF --------
% 0.76/0.98 % SZS status Theorem
% 0.76/0.98 % SZS output start Refutation
% 0.76/0.98
% 0.76/0.98 Model 3 [ 1 2 22186 ] (0.00 seconds, 31004 Inserts)
% 0.76/0.98
% 0.76/0.98 Stopped by limit on insertions
% 0.76/0.98
% 0.76/0.98 Model 4 [ 1 9 152659 ] (0.00 seconds, 250000 Inserts)
% 0.76/0.98
% 0.76/0.98 Stopped by limit on insertions
% 0.76/0.98
% 0.76/0.98 Model 5 [ 3 5 175684 ] (0.00 seconds, 250000 Inserts)
% 0.76/0.98
% 0.76/0.98 Stopped by limit on insertions
% 0.76/0.98
% 0.76/0.98 Model 6 [ 3 9 238860 ] (0.00 seconds, 250000 Inserts)
% 0.76/0.98
% 0.76/0.98 Stopped by limit on insertions
% 0.76/0.98
% 0.76/0.98 Model 7 [ 3 10 214466 ] (0.00 seconds, 250000 Inserts)
% 0.76/0.98
% 0.76/0.98 Stopped by limit on insertions
% 0.76/0.98
% 0.76/0.98 Model 8 [ 4 6 122002 ] (0.00 seconds, 250000 Inserts)
% 0.76/0.98
% 0.76/0.98 -----> EMPTY CLAUSE at 0.58 sec ----> 107 [hyper,97,4,86] {-} $F.
% 0.76/0.98
% 0.76/0.98 Length of proof is 19. Level of proof is 10.
% 0.76/0.98
% 0.76/0.98 ---------------- PROOF ----------------
% 0.76/0.98 % SZS status Theorem
% 0.76/0.98 % SZS output start Refutation
% 0.76/0.98
% 0.76/0.98 1 [] {+} -set_equal(A,B)| -element(C,A)|element(C,B).
% 0.76/0.98 2 [] {+} -set_equal(A,B)|element(C,A)| -element(C,B).
% 0.76/0.98 3 [] {+} set_equal(A,B)| -element($f1(A,B),A)| -element($f1(A,B),B).
% 0.76/0.98 4 [] {+} -set_equal($c2,$c1)| -set_equal($c1,$c2).
% 0.76/0.98 6 [] {+} set_equal(A,B)|element($f1(A,B),A)|element($f1(A,B),B).
% 0.76/0.98 7 [] {+} set_equal($c2,$c1)|set_equal($c1,$c2).
% 0.76/0.98 9 [hyper,6,4,6] {-} element($f1($c1,$c2),$c1)|element($f1($c1,$c2),$c2)|element($f1($c2,$c1),$c2)|element($f1($c2,$c1),$c1).
% 0.76/0.98 11 [hyper,9,2,6,factor_simp,factor_simp,factor_simp] {-} element($f1($c1,$c2),$c2)|element($f1($c2,$c1),$c2)|element($f1($c2,$c1),$c1).
% 0.76/0.98 14 [hyper,9,1,6,factor_simp,factor_simp,factor_simp] {-} element($f1($c1,$c2),$c1)|element($f1($c2,$c1),$c2)|element($f1($c2,$c1),$c1).
% 0.76/0.98 22 [hyper,11,2,7,factor_simp] {-} element($f1($c1,$c2),$c2)|element($f1($c2,$c1),$c1)|set_equal($c2,$c1).
% 0.76/0.98 28 [hyper,11,1,7,factor_simp] {-} element($f1($c1,$c2),$c2)|element($f1($c2,$c1),$c2)|set_equal($c2,$c1).
% 0.76/0.98 30 [hyper,14,3,11,factor_simp,factor_simp] {+} element($f1($c2,$c1),$c2)|element($f1($c2,$c1),$c1)|set_equal($c1,$c2).
% 0.76/0.98 41 [hyper,22,1,11,factor_simp,factor_simp,factor_simp] {-} element($f1($c1,$c2),$c2)|element($f1($c2,$c1),$c1).
% 0.76/0.98 46 [hyper,28,2,41,factor_simp,factor_simp] {-} element($f1($c1,$c2),$c2)|element($f1($c2,$c1),$c2).
% 0.76/0.98 49 [hyper,46,3,41,factor_simp] {-} element($f1($c1,$c2),$c2)|set_equal($c2,$c1).
% 0.76/0.98 52 [hyper,30,4,6,factor_simp,factor_simp] {-} element($f1($c2,$c1),$c2)|element($f1($c2,$c1),$c1).
% 0.76/0.98 53 [hyper,49,4,6,factor_simp] {-} element($f1($c1,$c2),$c2)|element($f1($c1,$c2),$c1).
% 0.76/0.98 54 [hyper,52,2,7,factor_simp] {-} element($f1($c2,$c1),$c1)|set_equal($c2,$c1).
% 0.76/0.98 58 [hyper,52,2,7,factor_simp] {+} element($f1($c2,$c1),$c2)|set_equal($c1,$c2).
% 0.76/0.98 62 [hyper,54,1,52,factor_simp,factor_simp] {+} element($f1($c2,$c1),$c1).
% 0.76/0.98 78 [hyper,58,1,62,factor_simp] {+} element($f1($c2,$c1),$c2).
% 0.76/0.98 83 [hyper,53,2,49,factor_simp,factor_simp] {+} element($f1($c1,$c2),$c2).
% 0.76/0.98 86 [hyper,78,3,62] {+} set_equal($c2,$c1).
% 0.76/0.98 96 [hyper,86,1,83] {+} element($f1($c1,$c2),$c1).
% 0.76/0.98 97 [hyper,96,3,83] {+} set_equal($c1,$c2).
% 0.76/0.98 107 [hyper,97,4,86] {-} $F.
% 0.76/0.98
% 0.76/0.98 % SZS output end Refutation
% 0.76/0.98 ------------ end of proof -------------
% 0.76/0.98
% 0.76/0.98
% 0.76/0.98 Search stopped by max_proofs option.
% 0.76/0.98
% 0.76/0.98
% 0.76/0.98 Search stopped by max_proofs option.
% 0.76/0.98
% 0.76/0.98 ============ end of search ============
% 0.76/0.98
% 0.76/0.98 ----------- soft-scott stats ----------
% 0.76/0.98
% 0.76/0.98 true clauses given 5 (20.0%)
% 0.76/0.98 false clauses given 20
% 0.76/0.98
% 0.76/0.98 FALSE TRUE
% 0.76/0.98 15 4 4
% 0.76/0.98 25 12 0
% 0.76/0.98 tot: 16 4 (20.0% true)
% 0.76/0.98
% 0.76/0.98
% 0.76/0.98 Model 8 [ 4 6 122002 ] (0.00 seconds, 250000 Inserts)
% 0.76/0.98
% 0.76/0.98 That finishes the proof of the theorem.
% 0.76/0.98
% 0.76/0.98 Process 31161 finished Sun Jul 10 17:28:33 2022
%------------------------------------------------------------------------------