TSTP Solution File: PRO014+2 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : PRO014+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %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  : 300s
% DateTime : Mon Mar 25 14:28:53 EDT 2024

% Result   : Theorem 38.50s 38.65s
% Output   : Proof 38.50s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : PRO014+2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu Mar 21 05:08:42 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 38.50/38.65  % SZS status Theorem for theBenchmark
% 38.50/38.65  % SZS output start Proof for theBenchmark
% 38.50/38.65  
% 38.50/38.65  % Formula: sos ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos-1, axiom, ( ~min_precedes(_u3, _u2, _u0) | ~min_precedes(_u2, _u1, _u0) | min_precedes(_u3, _u1, _u0) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_01 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_01-1, axiom, ( ~earlier(_u6, _u5) | ~earlier(_u5, _u4) | earlier(_u6, _u4) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_02 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_02-1, axiom, ( ( _u10 = _u9) | ~root_occ(_u10, _u8) | ~root_occ(_u9, _u8) | ~occurrence_of(_u8, _u7) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_03 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_03-1, axiom, ( ( _u14 = _u13) | ~leaf_occ(_u14, _u12) | ~leaf_occ(_u13, _u12) | ~occurrence_of(_u12, _u11) | atomic(_u11) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_04 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_04-1, axiom, ( ~next_subocc(_u24, _u22, _u20) | min_precedes(_u24, _u22, _u20) )).
% 38.50/38.65  cnf(sos_04-2, axiom, ( ~next_subocc(_u24, _u22, _u20) | ~min_precedes(_u24, _u15, _u20) | ~min_precedes(_u15, _u22, _u20) )).
% 38.50/38.65  cnf(sos_04-3, axiom, ( next_subocc(_u25, _u23, _u21) | ~min_precedes(_u25, _u23, _u21) | min_precedes(_u25, skolem1(_u25, _u23, _u21), _u21) )).
% 38.50/38.65  cnf(sos_04-4, axiom, ( next_subocc(_u25, _u23, _u21) | ~min_precedes(_u25, _u23, _u21) | min_precedes(skolem1(_u25, _u23, _u21), _u23, _u21) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_05 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_05-1, axiom, ( ~next_subocc(_u28, _u27, _u26) | arboreal(_u28) )).
% 38.50/38.65  cnf(sos_05-2, axiom, ( ~next_subocc(_u28, _u27, _u26) | arboreal(_u27) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_06 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_06-1, axiom, ( precedes(_u31, _u30) | ~min_precedes(_u31, _u30, _u29) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_07 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_07-1, axiom, ( ~min_precedes(_u34, _u33, _u32) | ~root(_u33, _u32) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_08 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_08-1, axiom, ( ~precedes(_u39, _u37) | earlier(_u39, _u37) )).
% 38.50/38.65  cnf(sos_08-2, axiom, ( ~precedes(_u39, _u37) | legal(_u37) )).
% 38.50/38.65  cnf(sos_08-3, axiom, ( ~earlier(_u40, _u38) | ~legal(_u38) | precedes(_u40, _u38) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_09 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_09-1, axiom, ( ~earlier(_u42, _u41) | ~earlier(_u41, _u42) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_10 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_10-1, axiom, ( ~root_occ(_u49, _u47) | subactivity_occurrence(_u49, _u47) )).
% 38.50/38.65  cnf(sos_10-2, axiom, ( ~root_occ(_u49, _u47) | occurrence_of(_u47, skolem2(_u49, _u47)) )).
% 38.50/38.65  cnf(sos_10-3, axiom, ( ~root_occ(_u49, _u47) | root(_u49, skolem2(_u49, _u47)) )).
% 38.50/38.65  cnf(sos_10-4, axiom, ( ~subactivity_occurrence(_u50, _u48) | ~occurrence_of(_u48, _u44) | ~root(_u50, _u44) | root_occ(_u50, _u48) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_11 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_11-1, axiom, ( ~leaf_occ(_u57, _u55) | subactivity_occurrence(_u57, _u55) )).
% 38.50/38.65  cnf(sos_11-2, axiom, ( ~leaf_occ(_u57, _u55) | occurrence_of(_u55, skolem3(_u57, _u55)) )).
% 38.50/38.65  cnf(sos_11-3, axiom, ( ~leaf_occ(_u57, _u55) | leaf(_u57, skolem3(_u57, _u55)) )).
% 38.50/38.65  cnf(sos_11-4, axiom, ( ~subactivity_occurrence(_u58, _u56) | ~occurrence_of(_u56, _u52) | ~leaf(_u58, _u52) | leaf_occ(_u58, _u56) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_12 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_12-1, axiom, ( legal(_u60) | ~root(_u60, _u59) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_13 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_13-1, axiom, ( ~occurrence_of(_u62, _u61) | ~arboreal(_u62) | atomic(_u61) )).
% 38.50/38.65  cnf(sos_13-2, axiom, ( ~occurrence_of(_u62, _u61) | ~atomic(_u61) | arboreal(_u62) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_14 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_14-1, axiom, ( ~leaf(_u71, _u69) | root(_u71, _u69) | min_precedes(skolem4(_u71, _u69), _u71, _u69) )).
% 38.50/38.65  cnf(sos_14-2, axiom, ( ~leaf(_u71, _u69) | ~min_precedes(_u71, _u64, _u69) )).
% 38.50/38.65  cnf(sos_14-3, axiom, ( leaf(_u72, _u70) | min_precedes(_u72, skolem5(_u72, _u70), _u70) | ~root(_u72, _u70) )).
% 38.50/38.65  cnf(sos_14-4, axiom, ( leaf(_u72, _u70) | min_precedes(_u72, skolem5(_u72, _u70), _u70) | ~min_precedes(_u65, _u72, _u70) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_15 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_15-1, axiom, ( ~atocc(_u79, _u77) | subactivity(_u77, skolem6(_u79, _u77)) )).
% 38.50/38.65  cnf(sos_15-2, axiom, ( ~atocc(_u79, _u77) | atomic(skolem6(_u79, _u77)) )).
% 38.50/38.65  cnf(sos_15-3, axiom, ( ~atocc(_u79, _u77) | occurrence_of(_u79, skolem6(_u79, _u77)) )).
% 38.50/38.65  cnf(sos_15-4, axiom, ( ~subactivity(_u78, _u74) | ~atomic(_u74) | ~occurrence_of(_u80, _u74) | atocc(_u80, _u78) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_16 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_16-1, axiom, ( ~atocc(_u82, _u81) | ~legal(_u82) | root(_u82, _u81) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_17 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_17-1, axiom, ( ~legal(_u83) | arboreal(_u83) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_18 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_18-1, axiom, ( ~activity_occurrence(_u85) | activity(skolem7(_u85)) )).
% 38.50/38.65  cnf(sos_18-2, axiom, ( ~activity_occurrence(_u85) | occurrence_of(_u85, skolem7(_u85)) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_19 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_19-1, axiom, ( ~subactivity_occurrence(_u87, _u86) | activity_occurrence(_u87) )).
% 38.50/38.65  cnf(sos_19-2, axiom, ( ~subactivity_occurrence(_u87, _u86) | activity_occurrence(_u86) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_20 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_20-1, axiom, ( ~occurrence_of(_u91, _u89) | ~root_occ(_u90, _u91) | ~min_precedes(_u88, _u90, _u89) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_21 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_21-1, axiom, ( ~occurrence_of(_u95, _u93) | ~leaf_occ(_u94, _u95) | ~min_precedes(_u94, _u92, _u93) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_22 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_22-1, axiom, ( ~occurrence_of(_u98, _u97) | ~occurrence_of(_u98, _u96) | ( _u97 = _u96) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_23 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_23-1, axiom, ( ~leaf(_u101, _u100) | atomic(_u100) | occurrence_of(skolem8(_u101, _u100), _u100) )).
% 38.50/38.65  cnf(sos_23-2, axiom, ( ~leaf(_u101, _u100) | atomic(_u100) | leaf_occ(_u101, skolem8(_u101, _u100)) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_24 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_24-1, axiom, ( ~min_precedes(_u104, _u103, _u105) | occurrence_of(skolem9(_u105, _u104, _u103), _u105) )).
% 38.50/38.65  cnf(sos_24-2, axiom, ( ~min_precedes(_u104, _u103, _u105) | subactivity_occurrence(_u104, skolem9(_u105, _u104, _u103)) )).
% 38.50/38.65  cnf(sos_24-3, axiom, ( ~min_precedes(_u104, _u103, _u105) | subactivity_occurrence(_u103, skolem9(_u105, _u104, _u103)) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_25 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_25-1, axiom, ( ~leaf(_u108, _u107) | atomic(_u107) | occurrence_of(skolem10(_u108, _u107), _u107) )).
% 38.50/38.65  cnf(sos_25-2, axiom, ( ~leaf(_u108, _u107) | atomic(_u107) | leaf_occ(_u108, skolem10(_u108, _u107)) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_26 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_26-1, axiom, ( ~min_precedes(_u112, _u111, _u113) | subactivity(skolem11(_u113, _u112, _u111), _u113) )).
% 38.50/38.65  cnf(sos_26-2, axiom, ( ~min_precedes(_u112, _u111, _u113) | atocc(_u111, skolem11(_u113, _u112, _u111)) )).
% 38.50/38.65  cnf(sos_26-3, axiom, ( ~min_precedes(_u112, _u111, _u113) | subactivity(skolem12(_u113, _u112, _u111), _u113) )).
% 38.50/38.65  cnf(sos_26-4, axiom, ( ~min_precedes(_u112, _u111, _u113) | atocc(_u112, skolem12(_u113, _u112, _u111)) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_27 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_27-1, axiom, ( ~root(_u115, _u116) | subactivity(skolem13(_u116, _u115), _u116) )).
% 38.50/38.65  cnf(sos_27-2, axiom, ( ~root(_u115, _u116) | atocc(_u115, skolem13(_u116, _u115)) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_28 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_28-1, axiom, ( ~occurrence_of(_u119, _u120) | ~arboreal(_u118) | ~arboreal(_u117) | ~subactivity_occurrence(_u118, _u119) | ~subactivity_occurrence(_u117, _u119) | min_precedes(_u118, _u117, _u120) | min_precedes(_u117, _u118, _u120) | ( _u118 = _u117) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_29 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_29-1, axiom, ( ~occurrence_of(_u121, _u122) | activity(_u122) )).
% 38.50/38.65  cnf(sos_29-2, axiom, ( ~occurrence_of(_u121, _u122) | activity_occurrence(_u121) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_30 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_30-1, axiom, ( ~occurrence_of(_u124, _u125) | atomic(_u125) | root(skolem14(_u125, _u124), _u125) )).
% 38.50/38.65  cnf(sos_30-2, axiom, ( ~occurrence_of(_u124, _u125) | atomic(_u125) | subactivity_occurrence(skolem14(_u125, _u124), _u124) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_31 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_31-1, axiom, ( ~activity(_u126) | subactivity(_u126, _u126) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_32 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_32-1, axiom, ( ~arboreal(_u131) | ~occurrence_of(_u130, tptp0) | ~subactivity_occurrence(_u131, _u130) | leaf_occ(_u131, _u130) | occurrence_of(skolem15(_u131), tptp3) )).
% 38.50/38.65  cnf(sos_32-2, axiom, ( ~arboreal(_u131) | ~occurrence_of(_u130, tptp0) | ~subactivity_occurrence(_u131, _u130) | leaf_occ(_u131, _u130) | next_subocc(_u131, skolem15(_u131), tptp0) )).
% 38.50/38.65  cnf(sos_32-3, axiom, ( ~arboreal(_u131) | ~occurrence_of(_u130, tptp0) | ~subactivity_occurrence(_u131, _u130) | leaf_occ(_u131, _u130) | occurrence_of(skolem16(_u131), tptp4) )).
% 38.50/38.65  cnf(sos_32-4, axiom, ( ~arboreal(_u131) | ~occurrence_of(_u130, tptp0) | ~subactivity_occurrence(_u131, _u130) | leaf_occ(_u131, _u130) | next_subocc(skolem15(_u131), skolem16(_u131), tptp0) )).
% 38.50/38.65  cnf(sos_32-5, axiom, ( ~arboreal(_u131) | ~occurrence_of(_u130, tptp0) | ~subactivity_occurrence(_u131, _u130) | leaf_occ(_u131, _u130) | occurrence_of(skolem17(_u131), tptp2) | occurrence_of(skolem17(_u131), tptp1) )).
% 38.50/38.65  cnf(sos_32-6, axiom, ( ~arboreal(_u131) | ~occurrence_of(_u130, tptp0) | ~subactivity_occurrence(_u131, _u130) | leaf_occ(_u131, _u130) | next_subocc(skolem16(_u131), skolem17(_u131), tptp0) )).
% 38.50/38.65  cnf(sos_32-7, axiom, ( ~arboreal(_u131) | ~occurrence_of(_u130, tptp0) | ~subactivity_occurrence(_u131, _u130) | leaf_occ(_u131, _u130) | leaf(skolem17(_u131), tptp0) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_33 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_33-1, axiom, ( activity(tptp0) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_34 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_34-1, axiom, ( ~atomic(tptp0) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_35 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_35-1, axiom, ( atomic(tptp4) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_36 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_36-1, axiom, ( atomic(tptp2) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_37 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_37-1, axiom, ( atomic(tptp1) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_38 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_38-1, axiom, ( atomic(tptp3) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_39 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_39-1, axiom, ( ( tptp4 != tptp3) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_40 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_40-1, axiom, ( ( tptp4 != tptp2) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_41 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_41-1, axiom, ( ( tptp4 != tptp1) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_42 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_42-1, axiom, ( ( tptp3 != tptp2) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_43 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_43-1, axiom, ( ( tptp3 != tptp1) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: sos_44 ( axiom ) converted to clauses:
% 38.50/38.65  cnf(sos_44-1, axiom, ( ( tptp2 != tptp1) )).
% 38.50/38.65  
% 38.50/38.65  % Formula: goals ( conjecture ) (definitionally) converted to clauses:
% 38.50/38.65  cnf(goals-1, negated_conjecture, ( occurrence_of(skolem19, tptp0) )).
% 38.50/38.65  cnf(goals-2, negated_conjecture, ( subactivity_occurrence(skolem18, skolem19) )).
% 38.50/38.65  cnf(goals-3, negated_conjecture, ( arboreal(skolem18) )).
% 38.50/38.65  cnf(goals-4, negated_conjecture, ( ~leaf_occ(skolem18, skolem19) )).
% 38.50/38.65  cnf(goals-5, negated_conjecture, ( ~occurrence_of(_u133, tptp3) | ~next_subocc(skolem18, _u133, tptp0) | ~_def0(_u132) | ~min_precedes(_u133, _u132, tptp0) | ~leaf(_u132, tptp0) )).
% 38.50/38.65  cnf(goals-6, negated_conjecture, ( _def0(_u132) | ~occurrence_of(_u132, tptp2) )).
% 38.50/38.65  cnf(goals-7, negated_conjecture, ( _def0(_u132) | ~occurrence_of(_u132, tptp1) )).
% 38.50/38.65  
% 38.50/38.65  % Problem matrix:
% 38.50/38.65  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 38.50/38.65  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 38.50/38.65  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 38.50/38.65  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem1(__eqx_0, __eqx_1, __eqx_2) = skolem1(__eqy_0, __eqy_1, __eqy_2)) )).
% 38.50/38.65  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 38.50/38.65  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 38.50/38.65  cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 38.50/38.65  cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem5(__eqx_0, __eqx_1) = skolem5(__eqy_0, __eqy_1)) )).
% 38.50/38.65  cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem6(__eqx_0, __eqx_1) = skolem6(__eqy_0, __eqy_1)) )).
% 38.50/38.65  cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( skolem7(__eqx_0) = skolem7(__eqy_0)) )).
% 38.50/38.65  cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem8(__eqx_0, __eqx_1) = skolem8(__eqy_0, __eqy_1)) )).
% 38.50/38.65  cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem9(__eqx_0, __eqx_1, __eqx_2) = skolem9(__eqy_0, __eqy_1, __eqy_2)) )).
% 38.50/38.65  cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem10(__eqx_0, __eqx_1) = skolem10(__eqy_0, __eqy_1)) )).
% 38.50/38.65  cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem11(__eqx_0, __eqx_1, __eqx_2) = skolem11(__eqy_0, __eqy_1, __eqy_2)) )).
% 38.50/38.65  cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem12(__eqx_0, __eqx_1, __eqx_2) = skolem12(__eqy_0, __eqy_1, __eqy_2)) )).
% 38.50/38.65  cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem13(__eqx_0, __eqx_1) = skolem13(__eqy_0, __eqy_1)) )).
% 38.50/38.65  cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem14(__eqx_0, __eqx_1) = skolem14(__eqy_0, __eqy_1)) )).
% 38.50/38.65  cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( skolem15(__eqx_0) = skolem15(__eqy_0)) )).
% 38.50/38.65  cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( skolem16(__eqx_0) = skolem16(__eqy_0)) )).
% 38.50/38.65  cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( skolem17(__eqx_0) = skolem17(__eqy_0)) )).
% 38.50/38.65  cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~min_precedes(__eqx_0, __eqx_1, __eqx_2) | min_precedes(__eqy_0, __eqy_1, __eqy_2) )).
% 38.50/38.65  cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~earlier(__eqx_0, __eqx_1) | earlier(__eqy_0, __eqy_1) )).
% 38.50/38.65  cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~occurrence_of(__eqx_0, __eqx_1) | occurrence_of(__eqy_0, __eqy_1) )).
% 38.50/38.65  cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~root_occ(__eqx_0, __eqx_1) | root_occ(__eqy_0, __eqy_1) )).
% 38.50/38.65  cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ~atomic(__eqx_0) | atomic(__eqy_0) )).
% 38.50/38.65  cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~leaf_occ(__eqx_0, __eqx_1) | leaf_occ(__eqy_0, __eqy_1) )).
% 38.50/38.65  cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~next_subocc(__eqx_0, __eqx_1, __eqx_2) | next_subocc(__eqy_0, __eqy_1, __eqy_2) )).
% 38.50/38.65  cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ~arboreal(__eqx_0) | arboreal(__eqy_0) )).
% 38.50/38.65  cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~precedes(__eqx_0, __eqx_1) | precedes(__eqy_0, __eqy_1) )).
% 38.50/38.65  cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~root(__eqx_0, __eqx_1) | root(__eqy_0, __eqy_1) )).
% 38.50/38.65  cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ~legal(__eqx_0) | legal(__eqy_0) )).
% 38.50/38.65  cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subactivity_occurrence(__eqx_0, __eqx_1) | subactivity_occurrence(__eqy_0, __eqy_1) )).
% 38.50/38.65  cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~leaf(__eqx_0, __eqx_1) | leaf(__eqy_0, __eqy_1) )).
% 38.50/38.65  cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~atocc(__eqx_0, __eqx_1) | atocc(__eqy_0, __eqy_1) )).
% 38.50/38.65  cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subactivity(__eqx_0, __eqx_1) | subactivity(__eqy_0, __eqy_1) )).
% 38.50/38.65  cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ~activity_occurrence(__eqx_0) | activity_occurrence(__eqy_0) )).
% 38.50/38.65  cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ~activity(__eqx_0) | activity(__eqy_0) )).
% 38.50/38.65  cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ~_def0(__eqx_0) | _def0(__eqy_0) )).
% 38.50/38.65  cnf(matrix-38, plain, ( ~min_precedes(_u3, _u2, _u0) | ~min_precedes(_u2, _u1, _u0) | min_precedes(_u3, _u1, _u0) )).
% 38.50/38.65  cnf(matrix-39, plain, ( ~earlier(_u6, _u5) | ~earlier(_u5, _u4) | earlier(_u6, _u4) )).
% 38.50/38.65  cnf(matrix-40, plain, ( ( _u10 = _u9) | ~root_occ(_u10, _u8) | ~root_occ(_u9, _u8) | ~occurrence_of(_u8, _u7) )).
% 38.50/38.65  cnf(matrix-41, plain, ( ( _u14 = _u13) | ~leaf_occ(_u14, _u12) | ~leaf_occ(_u13, _u12) | ~occurrence_of(_u12, _u11) | atomic(_u11) )).
% 38.50/38.65  cnf(matrix-42, plain, ( ~next_subocc(_u24, _u22, _u20) | min_precedes(_u24, _u22, _u20) )).
% 38.50/38.65  cnf(matrix-43, plain, ( ~next_subocc(_u24, _u22, _u20) | ~min_precedes(_u24, _u15, _u20) | ~min_precedes(_u15, _u22, _u20) )).
% 38.50/38.65  cnf(matrix-44, plain, ( next_subocc(_u25, _u23, _u21) | ~min_precedes(_u25, _u23, _u21) | min_precedes(_u25, skolem1(_u25, _u23, _u21), _u21) )).
% 38.50/38.65  cnf(matrix-45, plain, ( next_subocc(_u25, _u23, _u21) | ~min_precedes(_u25, _u23, _u21) | min_precedes(skolem1(_u25, _u23, _u21), _u23, _u21) )).
% 38.50/38.65  cnf(matrix-46, plain, ( ~next_subocc(_u28, _u27, _u26) | arboreal(_u28) )).
% 38.50/38.65  cnf(matrix-47, plain, ( ~next_subocc(_u28, _u27, _u26) | arboreal(_u27) )).
% 38.50/38.65  cnf(matrix-48, plain, ( precedes(_u31, _u30) | ~min_precedes(_u31, _u30, _u29) )).
% 38.50/38.65  cnf(matrix-49, plain, ( ~min_precedes(_u34, _u33, _u32) | ~root(_u33, _u32) )).
% 38.50/38.65  cnf(matrix-50, plain, ( ~precedes(_u39, _u37) | earlier(_u39, _u37) )).
% 38.50/38.65  cnf(matrix-51, plain, ( ~precedes(_u39, _u37) | legal(_u37) )).
% 38.50/38.65  cnf(matrix-52, plain, ( ~earlier(_u40, _u38) | ~legal(_u38) | precedes(_u40, _u38) )).
% 38.50/38.65  cnf(matrix-53, plain, ( ~earlier(_u42, _u41) | ~earlier(_u41, _u42) )).
% 38.50/38.65  cnf(matrix-54, plain, ( ~root_occ(_u49, _u47) | subactivity_occurrence(_u49, _u47) )).
% 38.50/38.65  cnf(matrix-55, plain, ( ~root_occ(_u49, _u47) | occurrence_of(_u47, skolem2(_u49, _u47)) )).
% 38.50/38.65  cnf(matrix-56, plain, ( ~root_occ(_u49, _u47) | root(_u49, skolem2(_u49, _u47)) )).
% 38.50/38.65  cnf(matrix-57, plain, ( ~subactivity_occurrence(_u50, _u48) | ~occurrence_of(_u48, _u44) | ~root(_u50, _u44) | root_occ(_u50, _u48) )).
% 38.50/38.65  cnf(matrix-58, plain, ( ~leaf_occ(_u57, _u55) | subactivity_occurrence(_u57, _u55) )).
% 38.50/38.65  cnf(matrix-59, plain, ( ~leaf_occ(_u57, _u55) | occurrence_of(_u55, skolem3(_u57, _u55)) )).
% 38.50/38.65  cnf(matrix-60, plain, ( ~leaf_occ(_u57, _u55) | leaf(_u57, skolem3(_u57, _u55)) )).
% 38.50/38.65  cnf(matrix-61, plain, ( ~subactivity_occurrence(_u58, _u56) | ~occurrence_of(_u56, _u52) | ~leaf(_u58, _u52) | leaf_occ(_u58, _u56) )).
% 38.50/38.65  cnf(matrix-62, plain, ( legal(_u60) | ~root(_u60, _u59) )).
% 38.50/38.65  cnf(matrix-63, plain, ( ~occurrence_of(_u62, _u61) | ~arboreal(_u62) | atomic(_u61) )).
% 38.50/38.65  cnf(matrix-64, plain, ( ~occurrence_of(_u62, _u61) | ~atomic(_u61) | arboreal(_u62) )).
% 38.50/38.65  cnf(matrix-65, plain, ( ~leaf(_u71, _u69) | root(_u71, _u69) | min_precedes(skolem4(_u71, _u69), _u71, _u69) )).
% 38.50/38.65  cnf(matrix-66, plain, ( ~leaf(_u71, _u69) | ~min_precedes(_u71, _u64, _u69) )).
% 38.50/38.65  cnf(matrix-67, plain, ( leaf(_u72, _u70) | min_precedes(_u72, skolem5(_u72, _u70), _u70) | ~root(_u72, _u70) )).
% 38.50/38.65  cnf(matrix-68, plain, ( leaf(_u72, _u70) | min_precedes(_u72, skolem5(_u72, _u70), _u70) | ~min_precedes(_u65, _u72, _u70) )).
% 38.50/38.65  cnf(matrix-69, plain, ( ~atocc(_u79, _u77) | subactivity(_u77, skolem6(_u79, _u77)) )).
% 38.50/38.65  cnf(matrix-70, plain, ( ~atocc(_u79, _u77) | atomic(skolem6(_u79, _u77)) )).
% 38.50/38.65  cnf(matrix-71, plain, ( ~atocc(_u79, _u77) | occurrence_of(_u79, skolem6(_u79, _u77)) )).
% 38.50/38.65  cnf(matrix-72, plain, ( ~subactivity(_u78, _u74) | ~atomic(_u74) | ~occurrence_of(_u80, _u74) | atocc(_u80, _u78) )).
% 38.50/38.65  cnf(matrix-73, plain, ( ~atocc(_u82, _u81) | ~legal(_u82) | root(_u82, _u81) )).
% 38.50/38.65  cnf(matrix-74, plain, ( ~legal(_u83) | arboreal(_u83) )).
% 38.50/38.65  cnf(matrix-75, plain, ( ~activity_occurrence(_u85) | activity(skolem7(_u85)) )).
% 38.50/38.65  cnf(matrix-76, plain, ( ~activity_occurrence(_u85) | occurrence_of(_u85, skolem7(_u85)) )).
% 38.50/38.65  cnf(matrix-77, plain, ( ~subactivity_occurrence(_u87, _u86) | activity_occurrence(_u87) )).
% 38.50/38.65  cnf(matrix-78, plain, ( ~subactivity_occurrence(_u87, _u86) | activity_occurrence(_u86) )).
% 38.50/38.65  cnf(matrix-79, plain, ( ~occurrence_of(_u91, _u89) | ~root_occ(_u90, _u91) | ~min_precedes(_u88, _u90, _u89) )).
% 38.50/38.65  cnf(matrix-80, plain, ( ~occurrence_of(_u95, _u93) | ~leaf_occ(_u94, _u95) | ~min_precedes(_u94, _u92, _u93) )).
% 38.50/38.65  cnf(matrix-81, plain, ( ~occurrence_of(_u98, _u97) | ~occurrence_of(_u98, _u96) | ( _u97 = _u96) )).
% 38.50/38.65  cnf(matrix-82, plain, ( ~leaf(_u101, _u100) | atomic(_u100) | occurrence_of(skolem8(_u101, _u100), _u100) )).
% 38.50/38.65  cnf(matrix-83, plain, ( ~leaf(_u101, _u100) | atomic(_u100) | leaf_occ(_u101, skolem8(_u101, _u100)) )).
% 38.50/38.65  cnf(matrix-84, plain, ( ~min_precedes(_u104, _u103, _u105) | occurrence_of(skolem9(_u105, _u104, _u103), _u105) )).
% 38.50/38.65  cnf(matrix-85, plain, ( ~min_precedes(_u104, _u103, _u105) | subactivity_occurrence(_u104, skolem9(_u105, _u104, _u103)) )).
% 38.50/38.65  cnf(matrix-86, plain, ( ~min_precedes(_u104, _u103, _u105) | subactivity_occurrence(_u103, skolem9(_u105, _u104, _u103)) )).
% 38.50/38.65  cnf(matrix-87, plain, ( ~leaf(_u108, _u107) | atomic(_u107) | occurrence_of(skolem10(_u108, _u107), _u107) )).
% 38.50/38.65  cnf(matrix-88, plain, ( ~leaf(_u108, _u107) | atomic(_u107) | leaf_occ(_u108, skolem10(_u108, _u107)) )).
% 38.50/38.65  cnf(matrix-89, plain, ( ~min_precedes(_u112, _u111, _u113) | subactivity(skolem11(_u113, _u112, _u111), _u113) )).
% 38.50/38.65  cnf(matrix-90, plain, ( ~min_precedes(_u112, _u111, _u113) | atocc(_u111, skolem11(_u113, _u112, _u111)) )).
% 38.50/38.65  cnf(matrix-91, plain, ( ~min_precedes(_u112, _u111, _u113) | subactivity(skolem12(_u113, _u112, _u111), _u113) )).
% 38.50/38.65  cnf(matrix-92, plain, ( ~min_precedes(_u112, _u111, _u113) | atocc(_u112, skolem12(_u113, _u112, _u111)) )).
% 38.50/38.65  cnf(matrix-93, plain, ( ~root(_u115, _u116) | subactivity(skolem13(_u116, _u115), _u116) )).
% 38.50/38.65  cnf(matrix-94, plain, ( ~root(_u115, _u116) | atocc(_u115, skolem13(_u116, _u115)) )).
% 38.50/38.65  cnf(matrix-95, plain, ( ~occurrence_of(_u119, _u120) | ~arboreal(_u118) | ~arboreal(_u117) | ~subactivity_occurrence(_u118, _u119) | ~subactivity_occurrence(_u117, _u119) | min_precedes(_u118, _u117, _u120) | min_precedes(_u117, _u118, _u120) | ( _u118 = _u117) )).
% 38.50/38.65  cnf(matrix-96, plain, ( ~occurrence_of(_u121, _u122) | activity(_u122) )).
% 38.50/38.65  cnf(matrix-97, plain, ( ~occurrence_of(_u121, _u122) | activity_occurrence(_u121) )).
% 38.50/38.65  cnf(matrix-98, plain, ( ~occurrence_of(_u124, _u125) | atomic(_u125) | root(skolem14(_u125, _u124), _u125) )).
% 38.50/38.65  cnf(matrix-99, plain, ( ~occurrence_of(_u124, _u125) | atomic(_u125) | subactivity_occurrence(skolem14(_u125, _u124), _u124) )).
% 38.50/38.65  cnf(matrix-100, plain, ( ~activity(_u126) | subactivity(_u126, _u126) )).
% 38.50/38.65  cnf(matrix-101, plain, ( ~arboreal(_u131) | ~occurrence_of(_u130, tptp0) | ~subactivity_occurrence(_u131, _u130) | leaf_occ(_u131, _u130) | occurrence_of(skolem15(_u131), tptp3) )).
% 38.50/38.65  cnf(matrix-102, plain, ( ~arboreal(_u131) | ~occurrence_of(_u130, tptp0) | ~subactivity_occurrence(_u131, _u130) | leaf_occ(_u131, _u130) | next_subocc(_u131, skolem15(_u131), tptp0) )).
% 38.50/38.65  cnf(matrix-103, plain, ( ~arboreal(_u131) | ~occurrence_of(_u130, tptp0) | ~subactivity_occurrence(_u131, _u130) | leaf_occ(_u131, _u130) | occurrence_of(skolem16(_u131), tptp4) )).
% 38.50/38.65  cnf(matrix-104, plain, ( ~arboreal(_u131) | ~occurrence_of(_u130, tptp0) | ~subactivity_occurrence(_u131, _u130) | leaf_occ(_u131, _u130) | next_subocc(skolem15(_u131), skolem16(_u131), tptp0) )).
% 38.50/38.65  cnf(matrix-105, plain, ( ~arboreal(_u131) | ~occurrence_of(_u130, tptp0) | ~subactivity_occurrence(_u131, _u130) | leaf_occ(_u131, _u130) | occurrence_of(skolem17(_u131), tptp2) | occurrence_of(skolem17(_u131), tptp1) )).
% 38.50/38.65  cnf(matrix-106, plain, ( ~arboreal(_u131) | ~occurrence_of(_u130, tptp0) | ~subactivity_occurrence(_u131, _u130) | leaf_occ(_u131, _u130) | next_subocc(skolem16(_u131), skolem17(_u131), tptp0) )).
% 38.50/38.65  cnf(matrix-107, plain, ( ~arboreal(_u131) | ~occurrence_of(_u130, tptp0) | ~subactivity_occurrence(_u131, _u130) | leaf_occ(_u131, _u130) | leaf(skolem17(_u131), tptp0) )).
% 38.50/38.65  cnf(matrix-108, plain, ( activity(tptp0) )).
% 38.50/38.65  cnf(matrix-109, plain, ( ~atomic(tptp0) )).
% 38.50/38.65  cnf(matrix-110, plain, ( atomic(tptp4) )).
% 38.50/38.65  cnf(matrix-111, plain, ( atomic(tptp2) )).
% 38.50/38.65  cnf(matrix-112, plain, ( atomic(tptp1) )).
% 38.50/38.65  cnf(matrix-113, plain, ( atomic(tptp3) )).
% 38.50/38.65  cnf(matrix-114, plain, ( ( tptp4 != tptp3) )).
% 38.50/38.65  cnf(matrix-115, plain, ( ( tptp4 != tptp2) )).
% 38.50/38.65  cnf(matrix-116, plain, ( ( tptp4 != tptp1) )).
% 38.50/38.65  cnf(matrix-117, plain, ( ( tptp3 != tptp2) )).
% 38.50/38.65  cnf(matrix-118, plain, ( ( tptp3 != tptp1) )).
% 38.50/38.65  cnf(matrix-119, plain, ( ( tptp2 != tptp1) )).
% 38.50/38.65  cnf(matrix-120, plain, ( occurrence_of(skolem19, tptp0) )).
% 38.50/38.65  cnf(matrix-121, plain, ( subactivity_occurrence(skolem18, skolem19) )).
% 38.50/38.65  cnf(matrix-122, plain, ( arboreal(skolem18) )).
% 38.50/38.65  cnf(matrix-123, plain, ( ~leaf_occ(skolem18, skolem19) )).
% 38.50/38.65  cnf(matrix-124, plain, ( ~occurrence_of(_u133, tptp3) | ~next_subocc(skolem18, _u133, tptp0) | ~_def0(_u132) | ~min_precedes(_u133, _u132, tptp0) | ~leaf(_u132, tptp0) )).
% 38.50/38.65  cnf(matrix-125, plain, ( _def0(_u132) | ~occurrence_of(_u132, tptp2) )).
% 38.50/38.65  cnf(matrix-126, plain, ( _def0(_u132) | ~occurrence_of(_u132, tptp1) )).
% 38.50/38.65  
% 38.50/38.65  % Proof stack:
% 38.50/38.65  cnf(proof-stack, plain, 
% 38.50/38.65  proof_stack(
% 38.50/38.65  start(124), 
% 38.50/38.65  left_branch(0, 101, 4, 2), 
% 38.50/38.65  left_branch(0, 122, 0, 3), 
% 38.50/38.65  right_branch(3), 
% 38.50/38.65  left_branch(0, 123, 0, 4), 
% 38.50/38.65  right_branch(4), 
% 38.50/38.65  left_branch(0, 121, 0, 5), 
% 38.50/38.65  right_branch(5), 
% 38.50/38.65  left_branch(0, 120, 0, 6), 
% 38.50/38.65  right_branch(6), 
% 38.50/38.65  right_branch(2), 
% 38.50/38.65  left_branch(0, 107, 4, 3), 
% 38.50/38.65  left_branch(0, 122, 0, 4), 
% 38.50/38.65  right_branch(4), 
% 38.50/38.65  left_branch(0, 123, 0, 5), 
% 38.50/38.65  right_branch(5), 
% 38.50/38.65  left_branch(0, 121, 0, 6), 
% 38.50/38.65  right_branch(6), 
% 38.50/38.65  left_branch(0, 120, 0, 7), 
% 38.50/38.65  right_branch(7), 
% 38.50/38.65  right_branch(3), 
% 38.50/38.65  left_branch(0, 38, 2, 4), 
% 38.50/38.65  left_branch(0, 42, 1, 5), 
% 38.50/38.65  left_branch(0, 104, 4, 6), 
% 38.50/38.65  left_branch(0, 122, 0, 7), 
% 38.50/38.65  right_branch(7), 
% 38.50/38.65  left_branch(0, 123, 0, 8), 
% 38.50/38.65  right_branch(8), 
% 38.50/38.65  left_branch(0, 121, 0, 9), 
% 38.50/38.65  right_branch(9), 
% 38.50/38.65  left_branch(0, 120, 0, 10), 
% 38.50/38.65  right_branch(10), 
% 38.50/38.65  right_branch(6), 
% 38.50/38.65  right_branch(5), 
% 38.50/38.65  left_branch(0, 42, 1, 6), 
% 38.50/38.65  left_branch(0, 106, 4, 7), 
% 38.50/38.65  left_branch(0, 122, 0, 8), 
% 38.50/38.65  right_branch(8), 
% 38.50/38.65  left_branch(0, 123, 0, 9), 
% 38.50/38.65  right_branch(9), 
% 38.50/38.65  left_branch(0, 121, 0, 10), 
% 38.50/38.65  right_branch(10), 
% 38.50/38.65  left_branch(0, 120, 0, 11), 
% 38.50/38.65  right_branch(11), 
% 38.50/38.65  right_branch(7), 
% 38.50/38.65  right_branch(6), 
% 38.50/38.65  right_branch(4), 
% 38.50/38.65  left_branch(0, 126, 0, 5), 
% 38.50/38.65  left_branch(0, 105, 5, 6), 
% 38.50/38.65  left_branch(0, 122, 0, 7), 
% 38.50/38.65  right_branch(7), 
% 38.50/38.65  left_branch(0, 125, 1, 8), 
% 38.50/38.65  reduction(0, 0), 
% 38.50/38.65  right_branch(8), 
% 38.50/38.65  left_branch(0, 123, 0, 9), 
% 38.50/38.65  right_branch(9), 
% 38.50/38.65  left_branch(0, 121, 0, 10), 
% 38.50/38.65  right_branch(10), 
% 38.50/38.65  left_branch(0, 120, 0, 11), 
% 38.50/38.65  right_branch(11), 
% 38.50/38.65  right_branch(6), 
% 38.50/38.65  right_branch(5), 
% 38.50/38.65  left_branch(0, 102, 4, 6), 
% 38.50/38.65  left_branch(0, 122, 0, 7), 
% 38.50/38.65  right_branch(7), 
% 38.50/38.65  left_branch(0, 123, 0, 8), 
% 38.50/38.65  right_branch(8), 
% 38.50/38.65  left_branch(0, 121, 0, 9), 
% 38.50/38.65  right_branch(9), 
% 38.50/38.65  left_branch(0, 120, 0, 10), 
% 38.50/38.65  right_branch(10), 
% 38.50/38.65  right_branch(6)
% 38.50/38.65  )).
% 38.50/38.65  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------