TSTP Solution File: MSC012+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : MSC012+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n018.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 : Thu Aug 31 09:20:44 EDT 2023
% Result : Theorem 1.06s 1.15s
% Output : CNFRefutation 1.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MSC012+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 24 14:01:27 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.59 start to proof:theBenchmark
% 1.06/1.15 %-------------------------------------------
% 1.06/1.15 % File :CSE---1.6
% 1.06/1.15 % Problem :theBenchmark
% 1.06/1.15 % Transform :cnf
% 1.06/1.15 % Format :tptp:raw
% 1.06/1.15 % Command :java -jar mcs_scs.jar %d %s
% 1.06/1.15
% 1.06/1.15 % Result :Theorem 0.500000s
% 1.06/1.15 % Output :CNFRefutation 0.500000s
% 1.06/1.15 %-------------------------------------------
% 1.06/1.15 %------------------------------------------------------------------------------
% 1.06/1.15 % File : MSC012+1 : TPTP v8.1.2. Released v3.2.0.
% 1.06/1.15 % Domain : Miscellaneous
% 1.06/1.15 % Problem : A serial and transitive relation inconsistent for non-empty domain
% 1.06/1.15 % Version : Especial.
% 1.06/1.15 % English :
% 1.06/1.15
% 1.06/1.15 % Refs : [Bez05] Bezem (2005), Email to Geoff Sutcliffe
% 1.06/1.15 % Source : [Bez05]
% 1.06/1.15 % Names : ser [Bez05]
% 1.06/1.15
% 1.06/1.15 % Status : Theorem
% 1.06/1.15 % Rating : 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.12 v5.4.0, 0.09 v5.3.0, 0.17 v5.2.0, 0.07 v5.0.0, 0.10 v4.1.0, 0.11 v4.0.1, 0.16 v4.0.0, 0.15 v3.7.0, 0.33 v3.5.0, 0.12 v3.4.0, 0.08 v3.3.0, 0.00 v3.2.0
% 1.06/1.15
% 1.06/1.15 % Syntax : Number of formulae : 5 ( 2 unt; 0 def)
% 1.06/1.15 % Number of atoms : 12 ( 0 equ)
% 1.06/1.15 % Maximal formula atoms : 4 ( 2 avg)
% 1.06/1.15 % Number of connectives : 7 ( 0 ~; 1 |; 4 &)
% 1.06/1.15 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 1.06/1.15 % Maximal formula depth : 6 ( 4 avg)
% 1.06/1.15 % Maximal term depth : 1 ( 1 avg)
% 1.06/1.15 % Number of predicates : 3 ( 3 usr; 1 prp; 0-2 aty)
% 1.06/1.15 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 1.06/1.15 % Number of variables : 9 ( 7 !; 2 ?)
% 1.06/1.15 % SPC : FOF_THM_RFO_NEQ
% 1.06/1.15
% 1.06/1.15 % Comments :
% 1.06/1.15 %------------------------------------------------------------------------------
% 1.06/1.15 fof(left_to_right,axiom,
% 1.06/1.15 ! [A,B] :
% 1.06/1.15 ( ( p(A)
% 1.06/1.15 & less(A,B)
% 1.06/1.15 & p(B) )
% 1.06/1.15 => goal ) ).
% 1.06/1.15
% 1.06/1.15 fof(right_to_left,axiom,
% 1.06/1.15 ! [A] :
% 1.06/1.15 ( p(A)
% 1.06/1.15 | ? [B] :
% 1.06/1.15 ( less(A,B)
% 1.06/1.15 & p(B) ) ) ).
% 1.06/1.15
% 1.06/1.15 fof(transitive_less,axiom,
% 1.06/1.15 ! [A,B,C] :
% 1.06/1.15 ( ( less(A,B)
% 1.06/1.15 & less(B,C) )
% 1.06/1.15 => less(A,C) ) ).
% 1.06/1.15
% 1.06/1.15 fof(serial_less,axiom,
% 1.06/1.15 ! [A] :
% 1.06/1.15 ? [B] : less(A,B) ).
% 1.06/1.15
% 1.06/1.15 fof(goal_to_be_proved,conjecture,
% 1.06/1.15 goal ).
% 1.06/1.15
% 1.06/1.15 %------------------------------------------------------------------------------
% 1.06/1.15 %-------------------------------------------
% 1.06/1.15 % Proof found
% 1.06/1.15 % SZS status Theorem for theBenchmark
% 1.06/1.15 % SZS output start Proof
% 1.06/1.15 %ClaNum:6(EqnAxiom:0)
% 1.06/1.15 %VarNum:17(SingletonVarNum:8)
% 1.06/1.15 %MaxLitNum:4
% 1.06/1.15 %MaxfuncDepth:1
% 1.06/1.15 %SharedTerms:3
% 1.06/1.15 %goalClause: 2
% 1.06/1.15 %singleGoalClaCount:1
% 1.06/1.15 [2]~P2(a500)
% 1.06/1.16 [1]P1(x11,f1(x11))
% 1.06/1.16 [3]P3(x31)+P3(f2(x31))
% 1.06/1.16 [4]P3(x41)+P1(x41,f2(x41))
% 1.06/1.16 [6]~P1(x61,x63)+P1(x61,x62)+~P1(x63,x62)
% 1.06/1.16 [5]~P1(x52,x51)+~P3(x51)+~P3(x52)+P2(a500)
% 1.06/1.16 %EqnAxiom
% 1.06/1.16
% 1.06/1.16 %-------------------------------------------
% 1.06/1.16 cnf(7,plain,
% 1.06/1.16 (~P1(f1(x71),x72)+P1(x71,x72)),
% 1.06/1.16 inference(scs_inference,[],[1,6])).
% 1.06/1.16 cnf(8,plain,
% 1.06/1.16 (~P3(x81)+~P3(x82)+~P1(x81,x82)),
% 1.06/1.16 inference(scs_inference,[],[2,5])).
% 1.06/1.16 cnf(17,plain,
% 1.06/1.16 (~P3(x171)+~P3(f1(x171))),
% 1.06/1.16 inference(scs_inference,[],[1,8])).
% 1.06/1.16 cnf(18,plain,
% 1.06/1.16 (~P3(x181)+P3(f2(f1(x181)))),
% 1.06/1.16 inference(scs_inference,[],[17,3])).
% 1.06/1.16 cnf(27,plain,
% 1.06/1.16 (~P1(f2(x271),f2(x271))+P3(x271)),
% 1.06/1.16 inference(scs_inference,[],[3,8])).
% 1.06/1.16 cnf(31,plain,
% 1.06/1.16 (~P3(f1(x311))+P3(f2(x311))),
% 1.06/1.16 inference(scs_inference,[],[3,17])).
% 1.06/1.16 cnf(33,plain,
% 1.06/1.16 (P3(f2(f1(x331)))+P3(f2(x331))),
% 1.06/1.16 inference(scs_inference,[],[3,18])).
% 1.06/1.16 cnf(41,plain,
% 1.06/1.16 (~P3(x411)+P1(f1(x411),f2(f1(x411)))),
% 1.06/1.16 inference(scs_inference,[],[17,4])).
% 1.06/1.16 cnf(42,plain,
% 1.06/1.16 (P1(x421,f2(f1(x421)))+~P3(x421)),
% 1.06/1.16 inference(scs_inference,[],[41,7])).
% 1.06/1.16 cnf(43,plain,
% 1.06/1.16 (P1(x431,f2(f1(x431)))+P3(f2(x431))),
% 1.06/1.16 inference(scs_inference,[],[42,3])).
% 1.06/1.16 cnf(62,plain,
% 1.06/1.16 (P3(f2(x621))+P1(f1(x621),f2(f1(x621)))),
% 1.06/1.16 inference(scs_inference,[],[4,31])).
% 1.06/1.16 cnf(64,plain,
% 1.06/1.16 (P3(x641)+P1(x641,f1(f2(x641)))),
% 1.06/1.16 inference(scs_inference,[],[1,4,6])).
% 1.06/1.16 cnf(85,plain,
% 1.06/1.16 (P3(f2(f1(x851)))+~P1(f2(x851),f2(x851))),
% 1.06/1.16 inference(scs_inference,[],[18,27])).
% 1.06/1.16 cnf(86,plain,
% 1.06/1.16 (P3(f2(f1(x861)))+~P1(f1(f2(x861)),f2(x861))),
% 1.06/1.16 inference(scs_inference,[],[85,7])).
% 1.06/1.16 cnf(123,plain,
% 1.06/1.16 (~P3(x1231)+~P3(f2(f1(x1231)))),
% 1.06/1.16 inference(scs_inference,[],[42,8])).
% 1.06/1.16 cnf(127,plain,
% 1.06/1.16 (~P3(x1271)+P3(f1(x1271))),
% 1.06/1.16 inference(scs_inference,[],[123,3])).
% 1.06/1.16 cnf(128,plain,
% 1.06/1.16 (~P3(x1281)),
% 1.06/1.16 inference(scs_inference,[],[127,17])).
% 1.06/1.16 cnf(130,plain,
% 1.06/1.16 (~P3(x1301)),
% 1.06/1.16 inference(rename_variables,[],[128])).
% 1.06/1.16 cnf(134,plain,
% 1.06/1.16 (~P3(x1341)),
% 1.06/1.16 inference(rename_variables,[],[128])).
% 1.06/1.16 cnf(136,plain,
% 1.06/1.16 (~P3(x1361)),
% 1.06/1.16 inference(rename_variables,[],[128])).
% 1.06/1.16 cnf(138,plain,
% 1.06/1.16 (~P3(x1381)),
% 1.06/1.16 inference(rename_variables,[],[128])).
% 1.06/1.16 cnf(141,plain,
% 1.06/1.16 (P3(x1411)),
% 1.06/1.16 inference(scs_inference,[],[128,130,134,136,138,86,64,62,43,33,4,3])).
% 1.06/1.16 cnf(147,plain,
% 1.06/1.16 ($false),
% 1.06/1.16 inference(scs_inference,[],[128,141]),
% 1.06/1.16 ['proof']).
% 1.06/1.16 % SZS output end Proof
% 1.06/1.16 % Total time :0.500000s
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