%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GRP537-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n027.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 11:43:16 EDT 2022
% Result : Unsatisfiable 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP537-1 : TPTP v8.1.0. Released v2.6.0.
% 0.13/0.14 % Command : sos-script %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jun 14 08:01:48 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.37
% 0.14/0.37 -------- PROOF --------
% 0.14/0.37 % SZS status Unsatisfiable
% 0.14/0.37 % SZS output start Refutation
% 0.14/0.37 ----- Otter 3.2, August 2001 -----
% 0.14/0.37 The process was started by sandbox2 on n027.cluster.edu,
% 0.14/0.37 Tue Jun 14 08:01:48 2022
% 0.14/0.37 The command was "./sos". The process ID is 25509.
% 0.14/0.37
% 0.14/0.37 set(prolog_style_variables).
% 0.14/0.37 set(auto).
% 0.14/0.37 dependent: set(auto1).
% 0.14/0.37 dependent: set(process_input).
% 0.14/0.37 dependent: clear(print_kept).
% 0.14/0.37 dependent: clear(print_new_demod).
% 0.14/0.37 dependent: clear(print_back_demod).
% 0.14/0.37 dependent: clear(print_back_sub).
% 0.14/0.37 dependent: set(control_memory).
% 0.14/0.37 dependent: assign(max_mem, 12000).
% 0.14/0.37 dependent: assign(pick_given_ratio, 4).
% 0.14/0.37 dependent: assign(stats_level, 1).
% 0.14/0.37 dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.37 dependent: assign(sos_limit, 5000).
% 0.14/0.37 dependent: assign(max_weight, 60).
% 0.14/0.37 clear(print_given).
% 0.14/0.37
% 0.14/0.37 list(usable).
% 0.14/0.37
% 0.14/0.37 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 0.14/0.37
% 0.14/0.37 All clauses are units, and equality is present; the
% 0.14/0.37 strategy will be Knuth-Bendix with positive clauses in sos.
% 0.14/0.37
% 0.14/0.37 dependent: set(knuth_bendix).
% 0.14/0.37 dependent: set(para_from).
% 0.14/0.37 dependent: set(para_into).
% 0.14/0.37 dependent: clear(para_from_right).
% 0.14/0.37 dependent: clear(para_into_right).
% 0.14/0.37 dependent: set(para_from_vars).
% 0.14/0.37 dependent: set(eq_units_both_ways).
% 0.14/0.37 dependent: set(dynamic_demod_all).
% 0.14/0.37 dependent: set(dynamic_demod).
% 0.14/0.37 dependent: set(order_eq).
% 0.14/0.37 dependent: set(back_demod).
% 0.14/0.37 dependent: set(lrpo).
% 0.14/0.37
% 0.14/0.37 ------------> process usable:
% 0.14/0.37
% 0.14/0.37 ------------> process sos:
% 0.14/0.37 Following clause subsumed by 10 during input processing: 0 [copy,10,flip.1] {-} A=A.
% 0.14/0.37
% 0.14/0.37 ----> UNIT CONFLICT at 0.00 sec ----> 16 [binary,15.1,10.1] {-} $F.
% 0.14/0.37
% 0.14/0.37 Length of proof is 5. Level of proof is 3.
% 0.14/0.37
% 0.14/0.37 ---------------- PROOF ----------------
% 0.14/0.37 % SZS status Unsatisfiable
% 0.14/0.37 % SZS output start Refutation
% 0.14/0.37
% 0.14/0.37 1 [] {-} multiply(inverse(a1),a1)!=multiply(inverse(b1),b1).
% 0.14/0.37 2 [copy,1,flip.1] {-} multiply(inverse(b1),b1)!=multiply(inverse(a1),a1).
% 0.14/0.37 5 [] {-} multiply(A,B)=divide(A,divide(divide(C,C),B)).
% 0.14/0.37 6 [] {-} inverse(A)=divide(divide(B,B),A).
% 0.14/0.37 7 [] {-} identity=divide(A,A).
% 0.14/0.37 9,8 [copy,7,flip.1] {-} divide(A,A)=identity.
% 0.14/0.37 10 [] {-} A=A.
% 0.14/0.37 12,11 [copy,5,flip.1,demod,9,flip.1] {-} multiply(A,B)=divide(A,divide(identity,B)).
% 0.14/0.37 14,13 [copy,6,flip.1,demod,9,flip.1] {-} inverse(A)=divide(identity,A).
% 0.14/0.37 15 [back_demod,2,demod,14,12,9,14,12,9] {-} identity!=identity.
% 0.14/0.37 16 [binary,15.1,10.1] {-} $F.
% 0.14/0.37
% 0.14/0.37 % SZS output end Refutation
% 0.14/0.37 ------------ end of proof -------------
% 0.14/0.37
% 0.14/0.37
% 0.14/0.37 Search stopped by max_proofs option.
% 0.14/0.37
% 0.14/0.37
% 0.14/0.37 Search stopped by max_proofs option.
% 0.14/0.37
% 0.14/0.37 ============ end of search ============
% 0.14/0.37
% 0.14/0.37 That finishes the proof of the theorem.
% 0.14/0.37
% 0.14/0.37 Process 25509 finished Tue Jun 14 08:01:48 2022
%------------------------------------------------------------------------------