TSTP Solution File: PRO011+4 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : PRO011+4 : 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 : n014.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 14:28:52 EDT 2024
% Result : Theorem 30.52s 30.70s
% Output : Proof 30.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PRO011+4 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Mar 21 05:35:00 EDT 2024
% 0.12/0.34 % CPUTime :
% 30.52/30.70 % SZS status Theorem for theBenchmark
% 30.52/30.70 % SZS output start Proof for theBenchmark
% 30.52/30.70
% 30.52/30.70 % Formula: sos ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos-1, axiom, ( ~occurrence_of(_u1, _u2) | atomic(_u2) | root(skolem1(_u2, _u1), _u2) )).
% 30.52/30.70 cnf(sos-2, axiom, ( ~occurrence_of(_u1, _u2) | atomic(_u2) | subactivity_occurrence(skolem1(_u2, _u1), _u1) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_01 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_01-1, axiom, ( ~occurrence_of(_u6, _u7) | ~root_occ(_u4, _u6) | ~leaf_occ(_u3, _u6) | ~subactivity_occurrence(_u5, _u6) | ~min_precedes(_u4, _u5, _u7) | ( _u5 = _u3) | min_precedes(_u5, _u3, _u7) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_02 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_02-1, axiom, ( ~occurrence_of(_u10, _u11) | ~subactivity_occurrence(_u9, _u10) | ~leaf_occ(_u8, _u10) | ~arboreal(_u9) | min_precedes(_u9, _u8, _u11) | ( _u8 = _u9) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_03 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_03-1, axiom, ( ~occurrence_of(_u12, _u13) | activity(_u13) )).
% 30.52/30.70 cnf(sos_03-2, axiom, ( ~occurrence_of(_u12, _u13) | activity_occurrence(_u12) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_04 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_04-1, axiom, ( ~occurrence_of(_u16, _u17) | ~arboreal(_u15) | ~arboreal(_u14) | ~subactivity_occurrence(_u15, _u16) | ~subactivity_occurrence(_u14, _u16) | min_precedes(_u15, _u14, _u17) | min_precedes(_u14, _u15, _u17) | ( _u15 = _u14) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_05 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_05-1, axiom, ( ~root(_u19, _u20) | subactivity(skolem2(_u20, _u19), _u20) )).
% 30.52/30.70 cnf(sos_05-2, axiom, ( ~root(_u19, _u20) | atocc(_u19, skolem2(_u20, _u19)) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_06 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_06-1, axiom, ( ~min_precedes(_u23, _u22, _u24) | occurrence_of(skolem3(_u24, _u23, _u22), _u24) )).
% 30.52/30.70 cnf(sos_06-2, axiom, ( ~min_precedes(_u23, _u22, _u24) | subactivity_occurrence(_u23, skolem3(_u24, _u23, _u22)) )).
% 30.52/30.70 cnf(sos_06-3, axiom, ( ~min_precedes(_u23, _u22, _u24) | subactivity_occurrence(_u22, skolem3(_u24, _u23, _u22)) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_07 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_07-1, axiom, ( ~leaf(_u27, _u26) | atomic(_u26) | occurrence_of(skolem4(_u27, _u26), _u26) )).
% 30.52/30.70 cnf(sos_07-2, axiom, ( ~leaf(_u27, _u26) | atomic(_u26) | leaf_occ(_u27, skolem4(_u27, _u26)) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_08 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_08-1, axiom, ( ~occurrence_of(_u30, _u29) | ~occurrence_of(_u30, _u28) | ( _u29 = _u28) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_09 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_09-1, axiom, ( ~occurrence_of(_u34, _u32) | ~leaf_occ(_u33, _u34) | ~min_precedes(_u33, _u31, _u32) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_10 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_10-1, axiom, ( ~occurrence_of(_u38, _u36) | ~root_occ(_u37, _u38) | ~min_precedes(_u35, _u37, _u36) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_11 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_11-1, axiom, ( ~subactivity_occurrence(_u40, _u39) | activity_occurrence(_u40) )).
% 30.52/30.70 cnf(sos_11-2, axiom, ( ~subactivity_occurrence(_u40, _u39) | activity_occurrence(_u39) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_12 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_12-1, axiom, ( ~activity_occurrence(_u42) | activity(skolem5(_u42)) )).
% 30.52/30.70 cnf(sos_12-2, axiom, ( ~activity_occurrence(_u42) | occurrence_of(_u42, skolem5(_u42)) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_13 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_13-1, axiom, ( ~legal(_u43) | arboreal(_u43) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_14 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_14-1, axiom, ( ~atocc(_u50, _u48) | subactivity(_u48, skolem6(_u50, _u48)) )).
% 30.52/30.70 cnf(sos_14-2, axiom, ( ~atocc(_u50, _u48) | atomic(skolem6(_u50, _u48)) )).
% 30.52/30.70 cnf(sos_14-3, axiom, ( ~atocc(_u50, _u48) | occurrence_of(_u50, skolem6(_u50, _u48)) )).
% 30.52/30.70 cnf(sos_14-4, axiom, ( ~subactivity(_u49, _u45) | ~atomic(_u45) | ~occurrence_of(_u51, _u45) | atocc(_u51, _u49) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_15 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_15-1, axiom, ( ~leaf(_u60, _u58) | root(_u60, _u58) | min_precedes(skolem7(_u60, _u58), _u60, _u58) )).
% 30.52/30.70 cnf(sos_15-2, axiom, ( ~leaf(_u60, _u58) | ~min_precedes(_u60, _u53, _u58) )).
% 30.52/30.70 cnf(sos_15-3, axiom, ( leaf(_u61, _u59) | min_precedes(_u61, skolem8(_u61, _u59), _u59) | ~root(_u61, _u59) )).
% 30.52/30.70 cnf(sos_15-4, axiom, ( leaf(_u61, _u59) | min_precedes(_u61, skolem8(_u61, _u59), _u59) | ~min_precedes(_u54, _u61, _u59) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_16 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_16-1, axiom, ( ~occurrence_of(_u63, _u62) | ~arboreal(_u63) | atomic(_u62) )).
% 30.52/30.70 cnf(sos_16-2, axiom, ( ~occurrence_of(_u63, _u62) | ~atomic(_u62) | arboreal(_u63) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_17 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_17-1, axiom, ( legal(_u65) | ~root(_u65, _u64) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_18 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_18-1, axiom, ( ~leaf_occ(_u72, _u70) | subactivity_occurrence(_u72, _u70) )).
% 30.52/30.70 cnf(sos_18-2, axiom, ( ~leaf_occ(_u72, _u70) | occurrence_of(_u70, skolem9(_u72, _u70)) )).
% 30.52/30.70 cnf(sos_18-3, axiom, ( ~leaf_occ(_u72, _u70) | leaf(_u72, skolem9(_u72, _u70)) )).
% 30.52/30.70 cnf(sos_18-4, axiom, ( ~subactivity_occurrence(_u73, _u71) | ~occurrence_of(_u71, _u67) | ~leaf(_u73, _u67) | leaf_occ(_u73, _u71) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_19 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_19-1, axiom, ( ~root_occ(_u80, _u78) | subactivity_occurrence(_u80, _u78) )).
% 30.52/30.70 cnf(sos_19-2, axiom, ( ~root_occ(_u80, _u78) | occurrence_of(_u78, skolem10(_u80, _u78)) )).
% 30.52/30.70 cnf(sos_19-3, axiom, ( ~root_occ(_u80, _u78) | root(_u80, skolem10(_u80, _u78)) )).
% 30.52/30.70 cnf(sos_19-4, axiom, ( ~subactivity_occurrence(_u81, _u79) | ~occurrence_of(_u79, _u75) | ~root(_u81, _u75) | root_occ(_u81, _u79) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_20 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_20-1, axiom, ( ~earlier(_u83, _u82) | ~earlier(_u82, _u83) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_21 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_21-1, axiom, ( ~precedes(_u88, _u86) | earlier(_u88, _u86) )).
% 30.52/30.70 cnf(sos_21-2, axiom, ( ~precedes(_u88, _u86) | legal(_u86) )).
% 30.52/30.70 cnf(sos_21-3, axiom, ( ~earlier(_u89, _u87) | ~legal(_u87) | precedes(_u89, _u87) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_22 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_22-1, axiom, ( ~min_precedes(_u92, _u91, _u90) | ~root(_u91, _u90) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_23 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_23-1, axiom, ( ~min_precedes(_u96, _u95, _u94) | root(skolem11(_u96, _u95, _u94), _u94) )).
% 30.52/30.70 cnf(sos_23-2, axiom, ( ~min_precedes(_u96, _u95, _u94) | min_precedes(skolem11(_u96, _u95, _u94), _u95, _u94) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_24 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_24-1, axiom, ( precedes(_u99, _u98) | ~min_precedes(_u99, _u98, _u97) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_25 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_25-1, axiom, ( ~next_subocc(_u102, _u101, _u100) | arboreal(_u102) )).
% 30.52/30.70 cnf(sos_25-2, axiom, ( ~next_subocc(_u102, _u101, _u100) | arboreal(_u101) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_26 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_26-1, axiom, ( ~next_subocc(_u112, _u110, _u108) | min_precedes(_u112, _u110, _u108) )).
% 30.52/30.70 cnf(sos_26-2, axiom, ( ~next_subocc(_u112, _u110, _u108) | ~min_precedes(_u112, _u103, _u108) | ~min_precedes(_u103, _u110, _u108) )).
% 30.52/30.70 cnf(sos_26-3, axiom, ( next_subocc(_u113, _u111, _u109) | ~min_precedes(_u113, _u111, _u109) | min_precedes(_u113, skolem12(_u113, _u111, _u109), _u109) )).
% 30.52/30.70 cnf(sos_26-4, axiom, ( next_subocc(_u113, _u111, _u109) | ~min_precedes(_u113, _u111, _u109) | min_precedes(skolem12(_u113, _u111, _u109), _u111, _u109) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_27 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_27-1, axiom, ( ~min_precedes(_u117, _u116, _u115) | ~occurrence_of(_u114, _u115) | ~subactivity_occurrence(_u116, _u114) | subactivity_occurrence(_u117, _u114) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_28 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_28-1, axiom, ( ( _u121 = _u120) | ~leaf_occ(_u121, _u119) | ~leaf_occ(_u120, _u119) | ~occurrence_of(_u119, _u118) | atomic(_u118) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_29 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_29-1, axiom, ( ( _u125 = _u124) | ~root_occ(_u125, _u123) | ~root_occ(_u124, _u123) | ~occurrence_of(_u123, _u122) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_30 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_30-1, axiom, ( ~earlier(_u128, _u127) | ~earlier(_u127, _u126) | earlier(_u128, _u126) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_31 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_31-1, axiom, ( ~min_precedes(_u132, _u131, _u129) | ~min_precedes(_u132, _u130, _u129) | ~precedes(_u131, _u130) | min_precedes(_u131, _u130, _u129) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_32 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_32-1, axiom, ( ~occurrence_of(_u136, tptp0) | occurrence_of(skolem13(_u136), tptp3) )).
% 30.52/30.70 cnf(sos_32-2, axiom, ( ~occurrence_of(_u136, tptp0) | root_occ(skolem13(_u136), _u136) )).
% 30.52/30.70 cnf(sos_32-3, axiom, ( ~occurrence_of(_u136, tptp0) | occurrence_of(skolem14(_u136), tptp4) )).
% 30.52/30.70 cnf(sos_32-4, axiom, ( ~occurrence_of(_u136, tptp0) | next_subocc(skolem13(_u136), skolem14(_u136), tptp0) )).
% 30.52/30.70 cnf(sos_32-5, axiom, ( ~occurrence_of(_u136, tptp0) | occurrence_of(skolem15(_u136), tptp1) | occurrence_of(skolem15(_u136), tptp2) )).
% 30.52/30.70 cnf(sos_32-6, axiom, ( ~occurrence_of(_u136, tptp0) | next_subocc(skolem14(_u136), skolem15(_u136), tptp0) )).
% 30.52/30.70 cnf(sos_32-7, axiom, ( ~occurrence_of(_u136, tptp0) | leaf_occ(skolem15(_u136), _u136) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_33 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_33-1, axiom, ( activity(tptp0) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_34 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_34-1, axiom, ( ~atomic(tptp0) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_35 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_35-1, axiom, ( atomic(tptp4) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_36 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_36-1, axiom, ( atomic(tptp1) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_37 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_37-1, axiom, ( atomic(tptp2) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_38 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_38-1, axiom, ( atomic(tptp3) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_39 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_39-1, axiom, ( ( tptp4 != tptp3) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_40 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_40-1, axiom, ( ( tptp4 != tptp1) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_41 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_41-1, axiom, ( ( tptp4 != tptp2) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_42 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_42-1, axiom, ( ( tptp3 != tptp1) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_43 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_43-1, axiom, ( ( tptp3 != tptp2) )).
% 30.52/30.70
% 30.52/30.70 % Formula: sos_44 ( axiom ) converted to clauses:
% 30.52/30.70 cnf(sos_44-1, axiom, ( ( tptp1 != tptp2) )).
% 30.52/30.70
% 30.52/30.70 % Formula: goals ( conjecture ) (definitionally) converted to clauses:
% 30.52/30.70 cnf(goals-1, negated_conjecture, ( occurrence_of(skolem16, tptp0) )).
% 30.52/30.70 cnf(goals-2, negated_conjecture, ( ~leaf_occ(_u139, skolem16) | ~_def0(_u139, _u140) | ~_def1(_u139, _u140) )).
% 30.52/30.70 cnf(goals-3, negated_conjecture, ( _def0(_u139, _u140) | occurrence_of(_u139, tptp1) )).
% 30.52/30.70 cnf(goals-4, negated_conjecture, ( _def0(_u139, _u140) | occurrence_of(skolem17(_u140, _u139), tptp2) )).
% 30.52/30.70 cnf(goals-5, negated_conjecture, ( _def0(_u139, _u140) | subactivity_occurrence(skolem17(_u140, _u139), skolem16) )).
% 30.52/30.70 cnf(goals-6, negated_conjecture, ( _def0(_u139, _u140) | min_precedes(_u140, skolem17(_u140, _u139), tptp0) )).
% 30.52/30.70 cnf(goals-7, negated_conjecture, ( _def1(_u139, _u140) | occurrence_of(_u139, tptp2) )).
% 30.52/30.70 cnf(goals-8, negated_conjecture, ( _def1(_u139, _u140) | occurrence_of(skolem18(_u140, _u139), tptp1) )).
% 30.52/30.70 cnf(goals-9, negated_conjecture, ( _def1(_u139, _u140) | subactivity_occurrence(skolem18(_u140, _u139), skolem16) )).
% 30.52/30.70 cnf(goals-10, negated_conjecture, ( _def1(_u139, _u140) | min_precedes(_u140, skolem18(_u140, _u139), tptp0) )).
% 30.52/30.70
% 30.52/30.70 % Problem matrix:
% 30.52/30.70 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 30.52/30.70 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 30.52/30.70 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 30.52/30.70 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 30.52/30.70 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 30.52/30.70 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem3(__eqx_0, __eqx_1, __eqx_2) = skolem3(__eqy_0, __eqy_1, __eqy_2)) )).
% 30.52/30.70 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 30.52/30.70 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( skolem5(__eqx_0) = skolem5(__eqy_0)) )).
% 30.52/30.70 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem6(__eqx_0, __eqx_1) = skolem6(__eqy_0, __eqy_1)) )).
% 30.52/30.70 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem7(__eqx_0, __eqx_1) = skolem7(__eqy_0, __eqy_1)) )).
% 30.52/30.70 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem8(__eqx_0, __eqx_1) = skolem8(__eqy_0, __eqy_1)) )).
% 30.52/30.70 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem9(__eqx_0, __eqx_1) = skolem9(__eqy_0, __eqy_1)) )).
% 30.52/30.70 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem10(__eqx_0, __eqx_1) = skolem10(__eqy_0, __eqy_1)) )).
% 30.52/30.70 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)) )).
% 30.52/30.70 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)) )).
% 30.52/30.70 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( skolem13(__eqx_0) = skolem13(__eqy_0)) )).
% 30.52/30.70 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( skolem14(__eqx_0) = skolem14(__eqy_0)) )).
% 30.52/30.70 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( skolem15(__eqx_0) = skolem15(__eqy_0)) )).
% 30.52/30.70 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem17(__eqx_0, __eqx_1) = skolem17(__eqy_0, __eqy_1)) )).
% 30.52/30.70 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem18(__eqx_0, __eqx_1) = skolem18(__eqy_0, __eqy_1)) )).
% 30.52/30.70 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~occurrence_of(__eqx_0, __eqx_1) | occurrence_of(__eqy_0, __eqy_1) )).
% 30.52/30.70 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ~atomic(__eqx_0) | atomic(__eqy_0) )).
% 30.52/30.70 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~root(__eqx_0, __eqx_1) | root(__eqy_0, __eqy_1) )).
% 30.52/30.70 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subactivity_occurrence(__eqx_0, __eqx_1) | subactivity_occurrence(__eqy_0, __eqy_1) )).
% 30.52/30.70 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~root_occ(__eqx_0, __eqx_1) | root_occ(__eqy_0, __eqy_1) )).
% 30.52/30.70 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~leaf_occ(__eqx_0, __eqx_1) | leaf_occ(__eqy_0, __eqy_1) )).
% 30.52/30.70 cnf(matrix-26, 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) )).
% 30.52/30.70 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ~arboreal(__eqx_0) | arboreal(__eqy_0) )).
% 30.52/30.70 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ~activity(__eqx_0) | activity(__eqy_0) )).
% 30.52/30.70 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ~activity_occurrence(__eqx_0) | activity_occurrence(__eqy_0) )).
% 30.52/30.70 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subactivity(__eqx_0, __eqx_1) | subactivity(__eqy_0, __eqy_1) )).
% 30.52/30.70 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~atocc(__eqx_0, __eqx_1) | atocc(__eqy_0, __eqy_1) )).
% 30.52/30.70 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~leaf(__eqx_0, __eqx_1) | leaf(__eqy_0, __eqy_1) )).
% 30.52/30.70 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ~legal(__eqx_0) | legal(__eqy_0) )).
% 30.52/30.70 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~earlier(__eqx_0, __eqx_1) | earlier(__eqy_0, __eqy_1) )).
% 30.52/30.70 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~precedes(__eqx_0, __eqx_1) | precedes(__eqy_0, __eqy_1) )).
% 30.52/30.70 cnf(matrix-36, 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) )).
% 30.52/30.70 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~_def0(__eqx_0, __eqx_1) | _def0(__eqy_0, __eqy_1) )).
% 30.52/30.70 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~_def1(__eqx_0, __eqx_1) | _def1(__eqy_0, __eqy_1) )).
% 30.52/30.70 cnf(matrix-39, plain, ( ~occurrence_of(_u1, _u2) | atomic(_u2) | root(skolem1(_u2, _u1), _u2) )).
% 30.52/30.70 cnf(matrix-40, plain, ( ~occurrence_of(_u1, _u2) | atomic(_u2) | subactivity_occurrence(skolem1(_u2, _u1), _u1) )).
% 30.52/30.70 cnf(matrix-41, plain, ( ~occurrence_of(_u6, _u7) | ~root_occ(_u4, _u6) | ~leaf_occ(_u3, _u6) | ~subactivity_occurrence(_u5, _u6) | ~min_precedes(_u4, _u5, _u7) | ( _u5 = _u3) | min_precedes(_u5, _u3, _u7) )).
% 30.52/30.70 cnf(matrix-42, plain, ( ~occurrence_of(_u10, _u11) | ~subactivity_occurrence(_u9, _u10) | ~leaf_occ(_u8, _u10) | ~arboreal(_u9) | min_precedes(_u9, _u8, _u11) | ( _u8 = _u9) )).
% 30.52/30.70 cnf(matrix-43, plain, ( ~occurrence_of(_u12, _u13) | activity(_u13) )).
% 30.52/30.70 cnf(matrix-44, plain, ( ~occurrence_of(_u12, _u13) | activity_occurrence(_u12) )).
% 30.52/30.70 cnf(matrix-45, plain, ( ~occurrence_of(_u16, _u17) | ~arboreal(_u15) | ~arboreal(_u14) | ~subactivity_occurrence(_u15, _u16) | ~subactivity_occurrence(_u14, _u16) | min_precedes(_u15, _u14, _u17) | min_precedes(_u14, _u15, _u17) | ( _u15 = _u14) )).
% 30.52/30.70 cnf(matrix-46, plain, ( ~root(_u19, _u20) | subactivity(skolem2(_u20, _u19), _u20) )).
% 30.52/30.70 cnf(matrix-47, plain, ( ~root(_u19, _u20) | atocc(_u19, skolem2(_u20, _u19)) )).
% 30.52/30.70 cnf(matrix-48, plain, ( ~min_precedes(_u23, _u22, _u24) | occurrence_of(skolem3(_u24, _u23, _u22), _u24) )).
% 30.52/30.70 cnf(matrix-49, plain, ( ~min_precedes(_u23, _u22, _u24) | subactivity_occurrence(_u23, skolem3(_u24, _u23, _u22)) )).
% 30.52/30.70 cnf(matrix-50, plain, ( ~min_precedes(_u23, _u22, _u24) | subactivity_occurrence(_u22, skolem3(_u24, _u23, _u22)) )).
% 30.52/30.70 cnf(matrix-51, plain, ( ~leaf(_u27, _u26) | atomic(_u26) | occurrence_of(skolem4(_u27, _u26), _u26) )).
% 30.52/30.70 cnf(matrix-52, plain, ( ~leaf(_u27, _u26) | atomic(_u26) | leaf_occ(_u27, skolem4(_u27, _u26)) )).
% 30.52/30.70 cnf(matrix-53, plain, ( ~occurrence_of(_u30, _u29) | ~occurrence_of(_u30, _u28) | ( _u29 = _u28) )).
% 30.52/30.70 cnf(matrix-54, plain, ( ~occurrence_of(_u34, _u32) | ~leaf_occ(_u33, _u34) | ~min_precedes(_u33, _u31, _u32) )).
% 30.52/30.70 cnf(matrix-55, plain, ( ~occurrence_of(_u38, _u36) | ~root_occ(_u37, _u38) | ~min_precedes(_u35, _u37, _u36) )).
% 30.52/30.70 cnf(matrix-56, plain, ( ~subactivity_occurrence(_u40, _u39) | activity_occurrence(_u40) )).
% 30.52/30.70 cnf(matrix-57, plain, ( ~subactivity_occurrence(_u40, _u39) | activity_occurrence(_u39) )).
% 30.52/30.70 cnf(matrix-58, plain, ( ~activity_occurrence(_u42) | activity(skolem5(_u42)) )).
% 30.52/30.70 cnf(matrix-59, plain, ( ~activity_occurrence(_u42) | occurrence_of(_u42, skolem5(_u42)) )).
% 30.52/30.70 cnf(matrix-60, plain, ( ~legal(_u43) | arboreal(_u43) )).
% 30.52/30.70 cnf(matrix-61, plain, ( ~atocc(_u50, _u48) | subactivity(_u48, skolem6(_u50, _u48)) )).
% 30.52/30.70 cnf(matrix-62, plain, ( ~atocc(_u50, _u48) | atomic(skolem6(_u50, _u48)) )).
% 30.52/30.70 cnf(matrix-63, plain, ( ~atocc(_u50, _u48) | occurrence_of(_u50, skolem6(_u50, _u48)) )).
% 30.52/30.70 cnf(matrix-64, plain, ( ~subactivity(_u49, _u45) | ~atomic(_u45) | ~occurrence_of(_u51, _u45) | atocc(_u51, _u49) )).
% 30.52/30.70 cnf(matrix-65, plain, ( ~leaf(_u60, _u58) | root(_u60, _u58) | min_precedes(skolem7(_u60, _u58), _u60, _u58) )).
% 30.52/30.70 cnf(matrix-66, plain, ( ~leaf(_u60, _u58) | ~min_precedes(_u60, _u53, _u58) )).
% 30.52/30.70 cnf(matrix-67, plain, ( leaf(_u61, _u59) | min_precedes(_u61, skolem8(_u61, _u59), _u59) | ~root(_u61, _u59) )).
% 30.52/30.70 cnf(matrix-68, plain, ( leaf(_u61, _u59) | min_precedes(_u61, skolem8(_u61, _u59), _u59) | ~min_precedes(_u54, _u61, _u59) )).
% 30.52/30.70 cnf(matrix-69, plain, ( ~occurrence_of(_u63, _u62) | ~arboreal(_u63) | atomic(_u62) )).
% 30.52/30.70 cnf(matrix-70, plain, ( ~occurrence_of(_u63, _u62) | ~atomic(_u62) | arboreal(_u63) )).
% 30.52/30.70 cnf(matrix-71, plain, ( legal(_u65) | ~root(_u65, _u64) )).
% 30.52/30.70 cnf(matrix-72, plain, ( ~leaf_occ(_u72, _u70) | subactivity_occurrence(_u72, _u70) )).
% 30.52/30.70 cnf(matrix-73, plain, ( ~leaf_occ(_u72, _u70) | occurrence_of(_u70, skolem9(_u72, _u70)) )).
% 30.52/30.70 cnf(matrix-74, plain, ( ~leaf_occ(_u72, _u70) | leaf(_u72, skolem9(_u72, _u70)) )).
% 30.52/30.70 cnf(matrix-75, plain, ( ~subactivity_occurrence(_u73, _u71) | ~occurrence_of(_u71, _u67) | ~leaf(_u73, _u67) | leaf_occ(_u73, _u71) )).
% 30.52/30.70 cnf(matrix-76, plain, ( ~root_occ(_u80, _u78) | subactivity_occurrence(_u80, _u78) )).
% 30.52/30.70 cnf(matrix-77, plain, ( ~root_occ(_u80, _u78) | occurrence_of(_u78, skolem10(_u80, _u78)) )).
% 30.52/30.70 cnf(matrix-78, plain, ( ~root_occ(_u80, _u78) | root(_u80, skolem10(_u80, _u78)) )).
% 30.52/30.70 cnf(matrix-79, plain, ( ~subactivity_occurrence(_u81, _u79) | ~occurrence_of(_u79, _u75) | ~root(_u81, _u75) | root_occ(_u81, _u79) )).
% 30.52/30.70 cnf(matrix-80, plain, ( ~earlier(_u83, _u82) | ~earlier(_u82, _u83) )).
% 30.52/30.70 cnf(matrix-81, plain, ( ~precedes(_u88, _u86) | earlier(_u88, _u86) )).
% 30.52/30.70 cnf(matrix-82, plain, ( ~precedes(_u88, _u86) | legal(_u86) )).
% 30.52/30.70 cnf(matrix-83, plain, ( ~earlier(_u89, _u87) | ~legal(_u87) | precedes(_u89, _u87) )).
% 30.52/30.70 cnf(matrix-84, plain, ( ~min_precedes(_u92, _u91, _u90) | ~root(_u91, _u90) )).
% 30.52/30.70 cnf(matrix-85, plain, ( ~min_precedes(_u96, _u95, _u94) | root(skolem11(_u96, _u95, _u94), _u94) )).
% 30.52/30.70 cnf(matrix-86, plain, ( ~min_precedes(_u96, _u95, _u94) | min_precedes(skolem11(_u96, _u95, _u94), _u95, _u94) )).
% 30.52/30.70 cnf(matrix-87, plain, ( precedes(_u99, _u98) | ~min_precedes(_u99, _u98, _u97) )).
% 30.52/30.70 cnf(matrix-88, plain, ( ~next_subocc(_u102, _u101, _u100) | arboreal(_u102) )).
% 30.52/30.70 cnf(matrix-89, plain, ( ~next_subocc(_u102, _u101, _u100) | arboreal(_u101) )).
% 30.52/30.70 cnf(matrix-90, plain, ( ~next_subocc(_u112, _u110, _u108) | min_precedes(_u112, _u110, _u108) )).
% 30.52/30.70 cnf(matrix-91, plain, ( ~next_subocc(_u112, _u110, _u108) | ~min_precedes(_u112, _u103, _u108) | ~min_precedes(_u103, _u110, _u108) )).
% 30.52/30.70 cnf(matrix-92, plain, ( next_subocc(_u113, _u111, _u109) | ~min_precedes(_u113, _u111, _u109) | min_precedes(_u113, skolem12(_u113, _u111, _u109), _u109) )).
% 30.52/30.70 cnf(matrix-93, plain, ( next_subocc(_u113, _u111, _u109) | ~min_precedes(_u113, _u111, _u109) | min_precedes(skolem12(_u113, _u111, _u109), _u111, _u109) )).
% 30.52/30.70 cnf(matrix-94, plain, ( ~min_precedes(_u117, _u116, _u115) | ~occurrence_of(_u114, _u115) | ~subactivity_occurrence(_u116, _u114) | subactivity_occurrence(_u117, _u114) )).
% 30.52/30.70 cnf(matrix-95, plain, ( ( _u121 = _u120) | ~leaf_occ(_u121, _u119) | ~leaf_occ(_u120, _u119) | ~occurrence_of(_u119, _u118) | atomic(_u118) )).
% 30.52/30.70 cnf(matrix-96, plain, ( ( _u125 = _u124) | ~root_occ(_u125, _u123) | ~root_occ(_u124, _u123) | ~occurrence_of(_u123, _u122) )).
% 30.52/30.70 cnf(matrix-97, plain, ( ~earlier(_u128, _u127) | ~earlier(_u127, _u126) | earlier(_u128, _u126) )).
% 30.52/30.70 cnf(matrix-98, plain, ( ~min_precedes(_u132, _u131, _u129) | ~min_precedes(_u132, _u130, _u129) | ~precedes(_u131, _u130) | min_precedes(_u131, _u130, _u129) )).
% 30.52/30.70 cnf(matrix-99, plain, ( ~occurrence_of(_u136, tptp0) | occurrence_of(skolem13(_u136), tptp3) )).
% 30.52/30.70 cnf(matrix-100, plain, ( ~occurrence_of(_u136, tptp0) | root_occ(skolem13(_u136), _u136) )).
% 30.52/30.70 cnf(matrix-101, plain, ( ~occurrence_of(_u136, tptp0) | occurrence_of(skolem14(_u136), tptp4) )).
% 30.52/30.70 cnf(matrix-102, plain, ( ~occurrence_of(_u136, tptp0) | next_subocc(skolem13(_u136), skolem14(_u136), tptp0) )).
% 30.52/30.70 cnf(matrix-103, plain, ( ~occurrence_of(_u136, tptp0) | occurrence_of(skolem15(_u136), tptp1) | occurrence_of(skolem15(_u136), tptp2) )).
% 30.52/30.70 cnf(matrix-104, plain, ( ~occurrence_of(_u136, tptp0) | next_subocc(skolem14(_u136), skolem15(_u136), tptp0) )).
% 30.52/30.70 cnf(matrix-105, plain, ( ~occurrence_of(_u136, tptp0) | leaf_occ(skolem15(_u136), _u136) )).
% 30.52/30.70 cnf(matrix-106, plain, ( activity(tptp0) )).
% 30.52/30.70 cnf(matrix-107, plain, ( ~atomic(tptp0) )).
% 30.52/30.70 cnf(matrix-108, plain, ( atomic(tptp4) )).
% 30.52/30.70 cnf(matrix-109, plain, ( atomic(tptp1) )).
% 30.52/30.70 cnf(matrix-110, plain, ( atomic(tptp2) )).
% 30.52/30.70 cnf(matrix-111, plain, ( atomic(tptp3) )).
% 30.52/30.70 cnf(matrix-112, plain, ( ( tptp4 != tptp3) )).
% 30.52/30.70 cnf(matrix-113, plain, ( ( tptp4 != tptp1) )).
% 30.52/30.70 cnf(matrix-114, plain, ( ( tptp4 != tptp2) )).
% 30.52/30.70 cnf(matrix-115, plain, ( ( tptp3 != tptp1) )).
% 30.52/30.70 cnf(matrix-116, plain, ( ( tptp3 != tptp2) )).
% 30.52/30.70 cnf(matrix-117, plain, ( ( tptp1 != tptp2) )).
% 30.52/30.70 cnf(matrix-118, plain, ( occurrence_of(skolem16, tptp0) )).
% 30.52/30.70 cnf(matrix-119, plain, ( ~leaf_occ(_u139, skolem16) | ~_def0(_u139, _u140) | ~_def1(_u139, _u140) )).
% 30.52/30.70 cnf(matrix-120, plain, ( _def0(_u139, _u140) | occurrence_of(_u139, tptp1) )).
% 30.52/30.70 cnf(matrix-121, plain, ( _def0(_u139, _u140) | occurrence_of(skolem17(_u140, _u139), tptp2) )).
% 30.52/30.70 cnf(matrix-122, plain, ( _def0(_u139, _u140) | subactivity_occurrence(skolem17(_u140, _u139), skolem16) )).
% 30.52/30.70 cnf(matrix-123, plain, ( _def0(_u139, _u140) | min_precedes(_u140, skolem17(_u140, _u139), tptp0) )).
% 30.52/30.70 cnf(matrix-124, plain, ( _def1(_u139, _u140) | occurrence_of(_u139, tptp2) )).
% 30.52/30.70 cnf(matrix-125, plain, ( _def1(_u139, _u140) | occurrence_of(skolem18(_u140, _u139), tptp1) )).
% 30.52/30.70 cnf(matrix-126, plain, ( _def1(_u139, _u140) | subactivity_occurrence(skolem18(_u140, _u139), skolem16) )).
% 30.52/30.70 cnf(matrix-127, plain, ( _def1(_u139, _u140) | min_precedes(_u140, skolem18(_u140, _u139), tptp0) )).
% 30.52/30.70
% 30.52/30.70 % Proof stack:
% 30.52/30.70 cnf(proof-stack, plain,
% 30.52/30.70 proof_stack(
% 30.52/30.70 start(119),
% 30.52/30.70 left_branch(0, 105, 1, 2),
% 30.52/30.70 left_branch(0, 118, 0, 3),
% 30.52/30.70 right_branch(3),
% 30.52/30.70 right_branch(2),
% 30.52/30.70 left_branch(0, 127, 0, 3),
% 30.52/30.70 left_branch(0, 54, 2, 4),
% 30.52/30.70 left_branch(0, 118, 0, 5),
% 30.52/30.70 right_branch(5),
% 30.52/30.70 left_branch(0, 105, 1, 6),
% 30.52/30.70 lemmata(0, 1),
% 30.52/30.70 right_branch(6),
% 30.52/30.70 right_branch(4),
% 30.52/30.70 right_branch(3),
% 30.52/30.70 left_branch(0, 123, 0, 4),
% 30.52/30.70 left_branch(0, 54, 2, 5),
% 30.52/30.70 left_branch(0, 118, 0, 6),
% 30.52/30.70 right_branch(6),
% 30.52/30.70 lemmata(0, 0),
% 30.52/30.70 right_branch(5),
% 30.52/30.70 right_branch(4)
% 30.52/30.70 )).
% 30.52/30.70 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------