%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWX207+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% 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 : Tue May 5 06:59:49 PM UTC 2026
% Result : Theorem 7.65s 2.42s
% Output : CNFRefutation 7.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 16 unt; 0 nHn; 15 RR)
% Number of literals : 30 ( 29 equ; 10 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_27,negated_conjecture,
( X1 = X2
| linC(X1) != linC(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v7evozwk/lgb.p',i_0_27) ).
cnf(i_0_26,plain,
append(linP(X1),linP(X2)) = linC(c2(X1,X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v7evozwk/lgb.p',i_0_26) ).
cnf(i_0_25,plain,
linP(pE) = nil,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v7evozwk/lgb.p',i_0_25) ).
cnf(i_0_19,plain,
append(nil,X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v7evozwk/lgb.p',i_0_19) ).
cnf(i_0_23,plain,
cons(a,nil) = linP(pA),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v7evozwk/lgb.p',i_0_23) ).
cnf(i_0_20,plain,
cons(X1,append(X2,X3)) = append(cons(X1,X2),X3),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v7evozwk/lgb.p',i_0_20) ).
cnf(i_0_17,plain,
proj1C(c2(X1,X2)) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v7evozwk/lgb.p',i_0_17) ).
cnf(i_0_15,plain,
pE != pA,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v7evozwk/lgb.p',i_0_15) ).
cnf(c_0_36,negated_conjecture,
( X1 = X2
| linC(X1) != linC(X2) ),
i_0_27 ).
cnf(c_0_37,plain,
append(linP(X1),linP(X2)) = linC(c2(X1,X2)),
i_0_26 ).
cnf(c_0_38,negated_conjecture,
( c2(X1,X2) = X3
| append(linP(X1),linP(X2)) != linC(X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_39,plain,
linP(pE) = nil,
i_0_25 ).
cnf(c_0_40,plain,
append(nil,X1) = X1,
i_0_19 ).
cnf(c_0_41,plain,
( c2(pE,X1) = X2
| linP(X1) != linC(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
cnf(c_0_42,plain,
( c2(pE,X1) = c2(X2,X3)
| linP(X1) != append(linP(X2),linP(X3)) ),
inference(spm,[status(thm)],[c_0_41,c_0_37]) ).
cnf(c_0_43,plain,
( c2(pE,X1) = c2(X2,pE)
| linP(X1) != append(linP(X2),nil) ),
inference(spm,[status(thm)],[c_0_42,c_0_39]) ).
cnf(c_0_44,plain,
cons(a,nil) = linP(pA),
i_0_23 ).
cnf(c_0_45,plain,
cons(X1,append(X2,X3)) = append(cons(X1,X2),X3),
i_0_20 ).
cnf(c_0_46,plain,
proj1C(c2(X1,X2)) = X1,
i_0_17 ).
cnf(c_0_47,plain,
( c2(pE,X1) = c2(pA,pE)
| linP(X1) != cons(a,nil) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_40]) ).
cnf(c_0_48,plain,
pE != pA,
i_0_15 ).
cnf(c_0_49,plain,
linP(X1) != cons(a,nil),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_46]),c_0_48]) ).
cnf(c_0_50,plain,
$false,
inference(sr,[status(thm)],[c_0_44,c_0_49]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX207+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.16/0.33 % Computer : n018.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 11:35:03 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 7.65/2.42 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.65/2.42 # No SInE strategy applied
% 7.65/2.42 # Trying AutoSched0 for 150 seconds
% 7.65/2.42 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.65/2.42 # and selection function SelectComplexExceptUniqMaxHorn.
% 7.65/2.42 #
% 7.65/2.42 # Preprocessing time : 0.022 s
% 7.65/2.42 # Presaturation interreduction done
% 7.65/2.42
% 7.65/2.42 # Proof found!
% 7.65/2.42 # SZS status Theorem
% 7.65/2.42 # SZS output start CNFRefutation
% See solution above
% 7.65/2.42 # Training examples: 0 positive, 0 negative
% 7.65/2.42
% 7.65/2.42 # -------------------------------------------------
% 7.65/2.42 # User time : 0.029 s
% 7.65/2.42 # System time : 0.002 s
% 7.65/2.42 # Total time : 0.030 s
% 7.65/2.42 # Maximum resident set size: 7124 pages
% 7.65/2.42
%------------------------------------------------------------------------------