%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : ALG014+1 : TPTP v8.1.0. Released v2.7.0.
% 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 : Thu Jul 14 18:00:52 EDT 2022
% Result : Theorem 0.18s 0.42s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG014+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.12 % Command : sos-script %s
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 8 02:39:25 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.42
% 0.18/0.42 -------- PROOF --------
% 0.18/0.42 % SZS status Unsatisfiable
% 0.18/0.42 % SZS output start Refutation
% 0.18/0.42 ----- Otter 3.2, August 2001 -----
% 0.18/0.42 The process was started by sandbox on n019.cluster.edu,
% 0.18/0.42 Wed Jun 8 02:39:25 2022
% 0.18/0.42 The command was "./sos". The process ID is 14614.
% 0.18/0.42
% 0.18/0.42 set(prolog_style_variables).
% 0.18/0.42 set(auto).
% 0.18/0.42 dependent: set(auto1).
% 0.18/0.42 dependent: set(process_input).
% 0.18/0.42 dependent: clear(print_kept).
% 0.18/0.42 dependent: clear(print_new_demod).
% 0.18/0.42 dependent: clear(print_back_demod).
% 0.18/0.42 dependent: clear(print_back_sub).
% 0.18/0.42 dependent: set(control_memory).
% 0.18/0.42 dependent: assign(max_mem, 12000).
% 0.18/0.42 dependent: assign(pick_given_ratio, 4).
% 0.18/0.42 dependent: assign(stats_level, 1).
% 0.18/0.42 dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.42 dependent: assign(sos_limit, 5000).
% 0.18/0.42 dependent: assign(max_weight, 60).
% 0.18/0.42 clear(print_given).
% 0.18/0.42
% 0.18/0.42 formula_list(usable).
% 0.18/0.42
% 0.18/0.42 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 0.18/0.42
% 0.18/0.42 This ia a non-Horn set with equality. The strategy will be
% 0.18/0.42 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.42 unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.42 clauses in usable.
% 0.18/0.42
% 0.18/0.42 dependent: set(knuth_bendix).
% 0.18/0.42 dependent: set(para_from).
% 0.18/0.42 dependent: set(para_into).
% 0.18/0.42 dependent: clear(para_from_right).
% 0.18/0.42 dependent: clear(para_into_right).
% 0.18/0.42 dependent: set(para_from_vars).
% 0.18/0.42 dependent: set(eq_units_both_ways).
% 0.18/0.42 dependent: set(dynamic_demod_all).
% 0.18/0.42 dependent: set(dynamic_demod).
% 0.18/0.42 dependent: set(order_eq).
% 0.18/0.42 dependent: set(back_demod).
% 0.18/0.42 dependent: set(lrpo).
% 0.18/0.42 dependent: set(hyper_res).
% 0.18/0.42 dependent: set(unit_deletion).
% 0.18/0.42 dependent: set(factor).
% 0.18/0.42
% 0.18/0.42 ------------> process usable:
% 0.18/0.42
% 0.18/0.42 ------------> process sos:
% 0.18/0.42 Following clause subsumed by 137 during input processing: 0 [] {-} op(e0,e0)=e0|op(e0,e0)=e1|op(e0,e0)=e2|op(e0,e0)=e3.
% 0.18/0.42 Following clause subsumed by 142 during input processing: 0 [] {-} op(e1,e1)=e0|op(e1,e1)=e1|op(e1,e1)=e2|op(e1,e1)=e3.
% 0.18/0.42 Following clause subsumed by 147 during input processing: 0 [] {-} op(e2,e2)=e0|op(e2,e2)=e1|op(e2,e2)=e2|op(e2,e2)=e3.
% 0.18/0.42 Following clause subsumed by 152 during input processing: 0 [] {-} op(e3,e3)=e0|op(e3,e3)=e1|op(e3,e3)=e2|op(e3,e3)=e3.
% 0.18/0.42 Following clause subsumed by 583 during input processing: 0 [copy,324,flip.1] {-} e0=e0.
% 0.18/0.42 Following clause subsumed by 583 during input processing: 0 [copy,583,flip.1] {-} A=A.
% 0.18/0.42 583 back subsumes 324.
% 0.18/0.42
% 0.18/0.42 -----> EMPTY CLAUSE at 0.06 sec ----> 655 [back_demod,133,demod,597,654,652,650,unit_del,583,583,583,583] {-} $F.
% 0.18/0.42
% 0.18/0.42 Length of proof is 8. Level of proof is 4.
% 0.18/0.42
% 0.18/0.42 ---------------- PROOF ----------------
% 0.18/0.42 % SZS status Theorem
% 0.18/0.42 % SZS output start Refutation
% 0.18/0.42
% 0.18/0.42 121 [] {-} e0!=e1.
% 0.18/0.42 122 [copy,121,flip.1] {-} e1!=e0.
% 0.18/0.42 123 [] {-} e0!=e2.
% 0.18/0.42 124 [copy,123,flip.1] {-} e2!=e0.
% 0.18/0.42 125 [] {-} e0!=e3.
% 0.18/0.42 126 [copy,125,flip.1] {-} e3!=e0.
% 0.18/0.42 133 [] {-} op(e0,e0)!=e0|op(e1,e1)!=e0|op(e2,e2)!=e0|op(e3,e3)!=e0.
% 0.18/0.42 300 [] {-} op(inv(e0),e0)=unit.
% 0.18/0.42 319,318 [] {-} unit=e0.
% 0.18/0.42 320 [] {-} inv(unit)=unit.
% 0.18/0.42 322,321 [copy,320,demod,319,319] {-} inv(e0)=e0.
% 0.18/0.42 453 [] {-} op(e1,e1)=e0|op(e3,e3)=e1|op(e3,e3)=e2|op(e0,e0)=e3.
% 0.18/0.42 516 [] {-} op(e2,e2)=e0|op(e3,e3)=e1|op(e3,e3)=e2|op(e0,e0)=e3.
% 0.18/0.42 520 [] {-} op(e3,e3)=e0|op(e0,e0)=e1|op(e0,e0)=e2|op(e0,e0)=e3.
% 0.18/0.42 583 [] {-} A=A.
% 0.18/0.42 597,596 [back_demod,300,demod,322,319] {-} op(e0,e0)=e0.
% 0.18/0.42 650,649 [back_demod,520,demod,597,597,597,unit_del,122,124,126] {-} op(e3,e3)=e0.
% 0.18/0.42 652,651 [back_demod,516,demod,650,650,597,unit_del,122,124,126] {-} op(e2,e2)=e0.
% 0.18/0.42 654,653 [back_demod,453,demod,650,650,597,unit_del,122,124,126] {-} op(e1,e1)=e0.
% 0.18/0.42 655 [back_demod,133,demod,597,654,652,650,unit_del,583,583,583,583] {-} $F.
% 0.18/0.42
% 0.18/0.42 % SZS output end Refutation
% 0.18/0.42 ------------ end of proof -------------
% 0.18/0.42
% 0.18/0.42
% 0.18/0.42 Search stopped by max_proofs option.
% 0.18/0.42
% 0.18/0.42
% 0.18/0.42 Search stopped by max_proofs option.
% 0.18/0.42
% 0.18/0.42 ============ end of search ============
% 0.18/0.42
% 0.18/0.42 That finishes the proof of the theorem.
% 0.18/0.42
% 0.18/0.42 Process 14614 finished Wed Jun 8 02:39:25 2022
%------------------------------------------------------------------------------