TSTP Solution File: GEO660+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO660+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n019.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 : Sat Jul 16 06:21:23 EDT 2022
% Result : Theorem 42.44s 42.65s
% Output : Refutation 42.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO660+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n019.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 Jun 17 23:37:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.37 ----- Otter 3.2, August 2001 -----
% 0.13/0.37 The process was started by sandbox2 on n019.cluster.edu,
% 0.13/0.37 Fri Jun 17 23:37:24 2022
% 0.13/0.37 The command was "./sos". The process ID is 23723.
% 0.13/0.37
% 0.13/0.37 set(prolog_style_variables).
% 0.13/0.37 set(auto).
% 0.13/0.37 dependent: set(auto1).
% 0.13/0.37 dependent: set(process_input).
% 0.13/0.37 dependent: clear(print_kept).
% 0.13/0.37 dependent: clear(print_new_demod).
% 0.13/0.37 dependent: clear(print_back_demod).
% 0.13/0.37 dependent: clear(print_back_sub).
% 0.13/0.37 dependent: set(control_memory).
% 0.13/0.37 dependent: assign(max_mem, 12000).
% 0.13/0.37 dependent: assign(pick_given_ratio, 4).
% 0.13/0.37 dependent: assign(stats_level, 1).
% 0.13/0.37 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.37 dependent: assign(sos_limit, 5000).
% 0.13/0.37 dependent: assign(max_weight, 60).
% 0.13/0.37 clear(print_given).
% 0.13/0.37
% 0.13/0.37 formula_list(usable).
% 0.13/0.37
% 0.13/0.37 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.13/0.37
% 0.13/0.37 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.37 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.37 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.37 clauses in usable.
% 0.13/0.37
% 0.13/0.37 dependent: set(knuth_bendix).
% 0.13/0.37 dependent: set(para_from).
% 0.13/0.37 dependent: set(para_into).
% 0.13/0.37 dependent: clear(para_from_right).
% 0.13/0.37 dependent: clear(para_into_right).
% 0.13/0.37 dependent: set(para_from_vars).
% 0.13/0.37 dependent: set(eq_units_both_ways).
% 0.13/0.37 dependent: set(dynamic_demod_all).
% 0.13/0.37 dependent: set(dynamic_demod).
% 0.13/0.37 dependent: set(order_eq).
% 0.13/0.37 dependent: set(back_demod).
% 0.13/0.37 dependent: set(lrpo).
% 0.13/0.37 dependent: set(hyper_res).
% 0.13/0.37 dependent: set(unit_deletion).
% 0.13/0.37 dependent: set(factor).
% 0.13/0.37
% 0.13/0.37 ------------> process usable:
% 0.13/0.37 Following clause subsumed by 72 during input processing: 0 [] {-} -eqangle(A,B,C,D,C,D,A,B)|perp(A,B,C,D)|para(A,B,C,D).
% 0.13/0.37
% 0.13/0.37 ------------> process sos:
% 0.13/0.37 Following clause subsumed by 168 during input processing: 0 [copy,168,flip.1] {-} A=A.
% 0.13/0.37 168 back subsumes 146.
% 0.13/0.37 168 back subsumes 145.
% 0.13/0.37 168 back subsumes 144.
% 0.13/0.37 168 back subsumes 143.
% 0.13/0.37
% 0.13/0.37 ======= end of input processing =======
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 Failed to model usable list: disabling FINDER
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 -------------- Softie stats --------------
% 0.19/0.44
% 0.19/0.44 UPDATE_STOP: 300
% 0.19/0.44 SFINDER_TIME_LIMIT: 2
% 0.19/0.44 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.44 number of clauses in intial UL: 154
% 0.19/0.44 number of clauses initially in problem: 164
% 0.19/0.44 percentage of clauses intially in UL: 93
% 0.19/0.44 percentage of distinct symbols occuring in initial UL: 92
% 0.19/0.44 percent of all initial clauses that are short: 100
% 0.19/0.44 absolute distinct symbol count: 39
% 0.19/0.44 distinct predicate count: 12
% 0.19/0.44 distinct function count: 20
% 0.19/0.44 distinct constant count: 7
% 0.19/0.44
% 0.19/0.44 ---------- no more Softie stats ----------
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 =========== start of search ===========
% 6.91/7.17
% 6.91/7.17
% 6.91/7.17 Changing weight limit from 60 to 57.
% 6.91/7.17
% 6.91/7.17 Resetting weight limit to 57 after 255 givens.
% 6.91/7.17
% 8.25/8.46
% 8.25/8.46
% 8.25/8.46 Changing weight limit from 57 to 56.
% 8.25/8.46
% 8.25/8.46 Resetting weight limit to 56 after 260 givens.
% 8.25/8.46
% 11.99/12.22
% 11.99/12.22
% 11.99/12.22 Changing weight limit from 56 to 55.
% 11.99/12.22
% 11.99/12.22 Resetting weight limit to 55 after 280 givens.
% 11.99/12.22
% 14.82/15.04
% 14.82/15.04
% 14.82/15.04 Changing weight limit from 55 to 54.
% 14.82/15.04
% 14.82/15.04 Modelling stopped after 300 given clauses and 0.00 seconds
% 14.82/15.04
% 14.82/15.04
% 14.82/15.04 Resetting weight limit to 54 after 305 givens.
% 14.82/15.04
% 16.23/16.42
% 16.23/16.42
% 16.23/16.42 Changing weight limit from 54 to 52.
% 16.23/16.42
% 16.23/16.42 Resetting weight limit to 52 after 320 givens.
% 16.23/16.42
% 17.72/17.90
% 17.72/17.90
% 17.72/17.90 Changing weight limit from 52 to 51.
% 17.72/17.90
% 17.72/17.90 Resetting weight limit to 51 after 335 givens.
% 17.72/17.90
% 22.33/22.56
% 22.33/22.56
% 22.33/22.56 Changing weight limit from 51 to 50.
% 22.33/22.56
% 22.33/22.56 Resetting weight limit to 50 after 385 givens.
% 22.33/22.56
% 26.37/26.64
% 26.37/26.64
% 26.37/26.64 Changing weight limit from 50 to 49.
% 26.37/26.64
% 26.37/26.64 Resetting weight limit to 49 after 435 givens.
% 26.37/26.64
% 29.43/29.63
% 29.43/29.63
% 29.43/29.63 Changing weight limit from 49 to 34.
% 29.43/29.63
% 29.43/29.63 Resetting weight limit to 34 after 440 givens.
% 29.43/29.63
% 30.25/30.48
% 30.25/30.48
% 30.25/30.48 Changing weight limit from 34 to 30.
% 30.25/30.48
% 30.25/30.48 Resetting weight limit to 30 after 445 givens.
% 30.25/30.48
% 33.32/33.54
% 33.32/33.54
% 33.32/33.54 Changing weight limit from 30 to 29.
% 33.32/33.54
% 33.32/33.54 Resetting weight limit to 29 after 540 givens.
% 33.32/33.54
% 34.34/34.54
% 34.34/34.54
% 34.34/34.54 Changing weight limit from 29 to 26.
% 34.34/34.54
% 34.34/34.54 Resetting weight limit to 26 after 1005 givens.
% 34.34/34.54
% 34.34/34.58
% 34.34/34.58
% 34.34/34.58 Changing weight limit from 26 to 18.
% 34.34/34.58
% 34.34/34.58 Resetting weight limit to 18 after 1015 givens.
% 34.34/34.58
% 34.69/34.92
% 34.69/34.92
% 34.69/34.92 Changing weight limit from 18 to 17.
% 34.69/34.92
% 34.69/34.92 Resetting weight limit to 17 after 1180 givens.
% 34.69/34.92
% 34.83/35.01
% 34.83/35.01
% 34.83/35.01 Changing weight limit from 17 to 16.
% 34.83/35.01
% 34.83/35.01 Resetting weight limit to 16 after 1230 givens.
% 34.83/35.01
% 34.94/35.19
% 34.94/35.19
% 34.94/35.19 Changing weight limit from 16 to 14.
% 34.94/35.19
% 34.94/35.19 Resetting weight limit to 14 after 1390 givens.
% 34.94/35.19
% 35.64/35.84
% 35.64/35.84
% 35.64/35.84 Changing weight limit from 14 to 12.
% 35.64/35.84
% 35.64/35.84 Resetting weight limit to 12 after 1725 givens.
% 35.64/35.84
% 35.74/35.93
% 35.74/35.93
% 35.74/35.93 Changing weight limit from 12 to 11.
% 35.74/35.93
% 35.74/35.93 Resetting weight limit to 11 after 1735 givens.
% 35.74/35.93
% 35.74/35.96
% 35.74/35.96
% 35.74/35.96 Changing weight limit from 11 to 10.
% 35.74/35.96
% 35.74/35.96 Resetting weight limit to 10 after 1740 givens.
% 35.74/35.96
% 37.05/37.26
% 37.05/37.26
% 37.05/37.26 Changing weight limit from 10 to 9.
% 37.05/37.26
% 37.05/37.26 Resetting weight limit to 9 after 2225 givens.
% 37.05/37.26
% 42.44/42.65
% 42.44/42.65 -- HEY sandbox2, WE HAVE A PROOF!! --
% 42.44/42.65
% 42.44/42.65 ----> UNIT CONFLICT at 41.98 sec ----> 60552 [binary,60551.1,113.1] {-} $F.
% 42.44/42.65
% 42.44/42.65 Length of proof is 105. Level of proof is 22.
% 42.44/42.65
% 42.44/42.65 ---------------- PROOF ----------------
% 42.44/42.65 % SZS status Theorem
% 42.44/42.65 % SZS output start Refutation
% 42.44/42.65
% 42.44/42.65 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 42.44/42.65 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 42.44/42.65 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 42.44/42.65 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 42.44/42.65 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 42.44/42.65 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 42.44/42.65 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 42.44/42.65 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 42.44/42.65 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 42.44/42.65 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 42.44/42.65 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 42.44/42.65 29 [] {+} -eqratio(A,B,C,D,E,F,G,H)|eqratio(A,B,E,F,C,D,G,H).
% 42.44/42.65 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 42.44/42.65 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 42.44/42.65 44 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -cyclic(A,B,C,F)| -eqangle(C,A,C,B,F,D,F,E)|cong(A,B,D,E).
% 42.44/42.65 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 42.44/42.65 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 42.44/42.65 53 [] {+} -perp(A,B,B,C)| -midp(D,A,C)|cong(A,D,B,D).
% 42.44/42.65 56 [] {+} -midp(A,B,C)| -perp(D,A,B,C)|cong(D,B,D,C).
% 42.44/42.65 58 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)| -cyclic(A,C,B,D)|perp(B,A,A,D).
% 42.44/42.65 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 42.44/42.65 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 42.44/42.65 66 [] {+} -para(A,B,C,D)| -coll(E,A,C)| -coll(E,B,D)|eqratio(E,A,A,C,E,B,B,D).
% 42.44/42.65 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 42.44/42.65 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 42.44/42.65 75 [] {+} -eqratio(A,B,C,D,E,F,G,H)| -cong(E,F,G,H)|cong(A,B,C,D).
% 42.44/42.65 113 [] {+} -para($c3,$c2,$c5,$c6).
% 42.44/42.65 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 42.44/42.65 123 [factor,44.2.3] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -eqangle(C,A,C,B,E,D,E,E)|cong(A,B,D,E).
% 42.44/42.65 124 [factor,45.1.2] {+} -midp(A,B,C)|para(A,A,C,C).
% 42.44/42.65 126 [factor,58.1.2] {+} -cong(A,B,C,B)| -cyclic(A,C,B,B)|perp(B,A,A,B).
% 42.44/42.65 128 [factor,64.1.2] {+} -midp(A,B,C)|para(B,B,C,C).
% 42.44/42.65 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 42.44/42.65 159 [] {-} perp($c5,$c7,$c5,$c6).
% 42.44/42.65 160 [] {-} perp($c4,$c5,$c7,$c6).
% 42.44/42.65 161 [] {-} coll($c4,$c7,$c6).
% 42.44/42.65 162 [] {-} coll($c3,$c5,$c4).
% 42.44/42.65 163 [] {-} coll($c2,$c7,$c6).
% 42.44/42.65 166 [] {-} coll($c1,$c6,$c5).
% 42.44/42.65 167 [] {-} coll($c1,$c7,$c3).
% 42.44/42.65 173 [hyper,159,8] {-} perp($c5,$c6,$c5,$c7).
% 42.44/42.65 174 [hyper,159,7] {-} perp($c5,$c7,$c6,$c5).
% 42.44/42.65 191 [hyper,161,114] {-} coll($c6,$c6,$c4).
% 42.44/42.65 192 [hyper,161,2] {-} coll($c7,$c4,$c6).
% 42.44/42.65 193 [hyper,161,1] {-} coll($c4,$c6,$c7).
% 42.44/42.65 206 [hyper,162,114] {-} coll($c4,$c4,$c3).
% 42.44/42.65 207 [hyper,162,2] {-} coll($c5,$c3,$c4).
% 42.44/42.65 208 [hyper,162,1] {-} coll($c3,$c4,$c5).
% 42.44/42.65 221 [hyper,163,114] {-} coll($c6,$c6,$c2).
% 42.44/42.65 223 [hyper,163,1] {-} coll($c2,$c6,$c7).
% 42.44/42.65 236 [hyper,160,8] {-} perp($c7,$c6,$c4,$c5).
% 42.44/42.65 237 [hyper,160,7] {-} perp($c4,$c5,$c6,$c7).
% 42.44/42.65 254 [hyper,166,114] {-} coll($c5,$c5,$c1).
% 42.44/42.65 255 [hyper,166,2] {-} coll($c6,$c1,$c5).
% 42.44/42.65 270 [hyper,167,2] {-} coll($c7,$c1,$c3).
% 42.44/42.65 298 [hyper,192,114] {-} coll($c6,$c6,$c7).
% 42.44/42.65 299 [hyper,192,1] {-} coll($c7,$c6,$c4).
% 42.44/42.65 348 [hyper,193,114] {-} coll($c7,$c7,$c4).
% 42.44/42.65 362 [hyper,206,114] {-} coll($c3,$c3,$c4).
% 42.44/42.65 376 [hyper,207,114] {-} coll($c4,$c4,$c5).
% 42.44/42.65 390 [hyper,208,114] {-} coll($c5,$c5,$c3).
% 42.44/42.65 442 [hyper,221,3,191] {-} coll($c2,$c4,$c6).
% 42.44/42.65 469 [hyper,223,114] {-} coll($c7,$c7,$c2).
% 42.44/42.65 484 [hyper,254,1] {-} coll($c5,$c1,$c5).
% 42.44/42.65 531 [hyper,255,114] {-} coll($c5,$c5,$c6).
% 42.44/42.65 573 [hyper,270,114] {-} coll($c3,$c3,$c7).
% 42.44/42.65 709 [hyper,299,114] {-} coll($c4,$c4,$c7).
% 42.44/42.65 723 [hyper,348,1] {-} coll($c7,$c4,$c7).
% 42.44/42.65 809 [hyper,376,114] {-} coll($c5,$c5,$c4).
% 42.44/42.65 841 [hyper,390,1] {-} coll($c5,$c3,$c5).
% 42.44/42.65 858 [hyper,173,9,159] {-} para($c5,$c7,$c5,$c7).
% 42.44/42.65 859 [hyper,173,9,159] {-} para($c5,$c6,$c5,$c6).
% 42.44/42.65 916 [hyper,442,1] {-} coll($c2,$c6,$c4).
% 42.44/42.65 929 [hyper,174,9,173] {-} para($c5,$c6,$c6,$c5).
% 42.44/42.65 930 [hyper,174,8] {-} perp($c6,$c5,$c5,$c7).
% 42.44/42.65 976 [hyper,469,1] {-} coll($c7,$c2,$c7).
% 42.44/42.65 1111 [hyper,484,114] {-} coll($c5,$c5,$c5).
% 42.44/42.65 1125 [hyper,531,114] {-} coll($c6,$c6,$c5).
% 42.44/42.65 1128 [hyper,531,1] {-} coll($c5,$c6,$c5).
% 42.44/42.65 1412 [hyper,573,3,362] {-} coll($c7,$c4,$c3).
% 42.44/42.65 1736 [hyper,709,3,376] {-} coll($c5,$c7,$c4).
% 42.44/42.65 1738 [hyper,709,3,376] {-} coll($c7,$c5,$c4).
% 42.44/42.65 2088 [hyper,809,1] {-} coll($c5,$c4,$c5).
% 42.44/42.65 2305 [hyper,841,2] {-} coll($c3,$c5,$c5).
% 42.44/42.65 2423 [hyper,916,3,223] {-} coll($c7,$c4,$c2).
% 42.44/42.65 2554 [hyper,976,2] {-} coll($c2,$c7,$c7).
% 42.44/42.65 2652 [hyper,1125,3,298] {-} coll($c5,$c7,$c6).
% 42.44/42.65 2653 [hyper,1125,3,221] {-} coll($c5,$c2,$c6).
% 42.44/42.65 3167 [hyper,1412,3,723] {-} coll($c3,$c7,$c7).
% 42.44/42.65 3691 [hyper,1736,1] {-} coll($c5,$c4,$c7).
% 42.44/42.65 3768 [hyper,1738,1] {-} coll($c7,$c4,$c5).
% 42.44/42.65 4988 [hyper,2653,1] {-} coll($c5,$c6,$c2).
% 42.44/42.65 5963 [hyper,3691,3,2088] {-} coll($c7,$c5,$c5).
% 42.44/42.65 5977 [hyper,3768,114] {-} coll($c5,$c5,$c7).
% 42.44/42.65 5978 [hyper,3768,3,2423] {-} coll($c2,$c5,$c7).
% 42.44/42.65 5979 [hyper,3768,3,1412] {-} coll($c3,$c5,$c7).
% 42.44/42.65 5981 [hyper,3768,3,192] {-} coll($c6,$c5,$c7).
% 42.44/42.65 6556 [hyper,4988,3,1128] {-} coll($c2,$c5,$c5).
% 42.44/42.65 6581 [hyper,237,9,236] {-} para($c7,$c6,$c6,$c7).
% 42.44/42.65 7821 [hyper,858,66,6556,2554] {-} eqratio($c2,$c5,$c5,$c5,$c2,$c7,$c7,$c7).
% 42.44/42.65 7823 [hyper,858,66,2305,3167] {-} eqratio($c3,$c5,$c5,$c5,$c3,$c7,$c7,$c7).
% 42.44/42.65 7828 [hyper,858,40] {-} eqangle($c5,$c7,A,B,$c5,$c7,A,B).
% 42.44/42.65 7829 [hyper,858,4] {-} para($c5,$c7,$c7,$c5).
% 42.44/42.65 8091 [hyper,929,5] {-} para($c6,$c5,$c5,$c6).
% 42.44/42.65 8735 [hyper,7829,5] {-} para($c7,$c5,$c5,$c7).
% 42.44/42.65 17727 [hyper,7821,29] {-} eqratio($c2,$c5,$c2,$c7,$c5,$c5,$c7,$c7).
% 42.44/42.65 17753 [hyper,7823,29] {-} eqratio($c3,$c5,$c3,$c7,$c5,$c5,$c7,$c7).
% 42.44/42.65 17798 [hyper,7828,43,5977] {-} cyclic($c7,$c7,$c5,$c5).
% 42.44/42.65 17799 [hyper,7828,43,1111] {-} cyclic($c7,$c5,$c5,$c5).
% 42.44/42.65 17811 [hyper,17798,15] {-} cyclic($c7,$c5,$c7,$c5).
% 42.44/42.65 17841 [hyper,17811,14] {-} cyclic($c7,$c5,$c5,$c7).
% 42.44/42.65 17895 [hyper,17841,123,17799,7828] {-} cong($c7,$c5,$c7,$c5).
% 42.44/42.65 18004 [hyper,17895,126,17798] {-} perp($c5,$c7,$c7,$c5).
% 42.44/42.65 18010 [hyper,17895,68,5963] {-} midp($c7,$c5,$c5).
% 42.44/42.65 18023 [hyper,18010,129,859] {-} midp($c7,$c6,$c6).
% 42.44/42.65 18027 [hyper,18010,46,8735,5977] {-} midp($c5,$c5,$c7).
% 42.44/42.65 18052 [hyper,18023,124] {-} para($c7,$c7,$c6,$c6).
% 42.44/42.65 18113 [hyper,18027,128] {-} para($c5,$c5,$c7,$c7).
% 42.44/42.65 18152 [hyper,18027,69] {-} cong($c5,$c5,$c5,$c7).
% 42.44/42.65 18153 [hyper,18027,56,930] {-} cong($c6,$c5,$c6,$c7).
% 42.44/42.65 19079 [hyper,18004,53,18010] {-} cong($c5,$c7,$c7,$c7).
% 42.44/42.65 19081 [hyper,18004,9,930] {-} para($c6,$c5,$c7,$c5).
% 42.44/42.65 19082 [hyper,18004,9,173] {-} para($c5,$c6,$c7,$c5).
% 42.44/42.65 20833 [hyper,18153,68,5981] {-} midp($c6,$c5,$c7).
% 42.44/42.65 20879 [hyper,20833,65,7829,18113] {-} midp($c6,$c7,$c5).
% 42.44/42.65 20938 [hyper,20879,46,8091,2652] {-} midp($c5,$c7,$c6).
% 42.44/42.65 21062 [hyper,20938,65,6581,18052] {-} midp($c5,$c6,$c7).
% 42.44/42.65 24861 [hyper,19079,25,18152] {-} cong($c5,$c5,$c7,$c7).
% 42.44/42.65 24878 [hyper,19081,129,21062] {-} midp($c5,$c5,$c5).
% 42.44/42.65 24994 [hyper,24878,129,859] {-} midp($c5,$c6,$c6).
% 42.44/42.65 25062 [hyper,24878,64,18027] {-} para($c5,$c5,$c7,$c5).
% 42.44/42.65 25407 [hyper,24994,45,21062] {-} para($c5,$c5,$c7,$c6).
% 42.44/42.65 37250 [hyper,17727,75,24861] {-} cong($c2,$c5,$c2,$c7).
% 42.44/42.65 37667 [hyper,17753,75,24861] {-} cong($c3,$c5,$c3,$c7).
% 42.44/42.65 47235 [hyper,37250,68,5978] {-} midp($c2,$c5,$c7).
% 42.44/42.65 47429 [hyper,47235,65,25407,19082] {-} midp($c2,$c5,$c6).
% 42.44/42.65 58557 [hyper,37667,68,5979] {-} midp($c3,$c5,$c7).
% 42.44/42.65 58565 [hyper,58557,129,25062] {-} midp($c3,$c5,$c5).
% 42.44/42.65 60551 [hyper,58565,45,47429] {-} para($c3,$c2,$c5,$c6).
% 42.44/42.65 60552 [binary,60551.1,113.1] {-} $F.
% 42.44/42.65
% 42.44/42.65 % SZS output end Refutation
% 42.44/42.65 ------------ end of proof -------------
% 42.44/42.65
% 42.44/42.65
% 42.44/42.65 Search stopped by max_proofs option.
% 42.44/42.65
% 42.44/42.65
% 42.44/42.65 Search stopped by max_proofs option.
% 42.44/42.65
% 42.44/42.65 ============ end of search ============
% 42.44/42.65
% 42.44/42.65 That finishes the proof of the theorem.
% 42.44/42.65
% 42.44/42.65 Process 23723 finished Fri Jun 17 23:38:07 2022
%------------------------------------------------------------------------------