TSTP Solution File: NUM849+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM849+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.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 : Mon Jul 18 08:40:34 EDT 2022
% Result : Theorem 7.76s 2.32s
% Output : CNFRefutation 7.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 22 ( 18 unt; 0 nHn; 12 RR)
% Number of literals : 26 ( 25 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_4,plain,
( vplus(vmul(vd448,vmul(vd449,X1)),vmul(vd448,vd449)) = vmul(vd448,vplus(vmul(vd449,X1),vd449))
| vmul(vmul(vd448,vd449),X1) != vmul(vd448,vmul(vd449,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7v0m7v1l/lgb.p',i_0_4) ).
cnf(i_0_10,plain,
vmul(X1,X2) = vmul(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7v0m7v1l/lgb.p',i_0_10) ).
cnf(i_0_57,plain,
vplus(X1,X2) = vplus(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7v0m7v1l/lgb.p',i_0_57) ).
cnf(i_0_14,plain,
vplus(vmul(X1,X2),X1) = vmul(X1,vplus(X2,v1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7v0m7v1l/lgb.p',i_0_14) ).
cnf(i_0_11,plain,
vplus(vmul(X1,X2),X2) = vmul(vplus(X1,v1),X2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7v0m7v1l/lgb.p',i_0_11) ).
cnf(i_0_2,negated_conjecture,
vmul(vmul(vd448,vd449),esk1_0) = vmul(vd448,vmul(vd449,esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7v0m7v1l/lgb.p',i_0_2) ).
cnf(i_0_1,negated_conjecture,
vmul(vmul(vd448,vd449),vplus(esk1_0,v1)) != vmul(vd448,vmul(vd449,vplus(esk1_0,v1))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7v0m7v1l/lgb.p',i_0_1) ).
cnf(c_0_65,plain,
( vplus(vmul(vd448,vmul(vd449,X1)),vmul(vd448,vd449)) = vmul(vd448,vplus(vmul(vd449,X1),vd449))
| vmul(vmul(vd448,vd449),X1) != vmul(vd448,vmul(vd449,X1)) ),
i_0_4 ).
cnf(c_0_66,plain,
vmul(X1,X2) = vmul(X2,X1),
i_0_10 ).
cnf(c_0_67,plain,
vplus(X1,X2) = vplus(X2,X1),
i_0_57 ).
cnf(c_0_68,plain,
vplus(vmul(X1,X2),X1) = vmul(X1,vplus(X2,v1)),
i_0_14 ).
cnf(c_0_69,plain,
vplus(vmul(X1,X2),X2) = vmul(vplus(X1,v1),X2),
i_0_11 ).
cnf(c_0_70,negated_conjecture,
vmul(vmul(vd448,vd449),esk1_0) = vmul(vd448,vmul(vd449,esk1_0)),
i_0_2 ).
cnf(c_0_71,plain,
( vplus(vmul(vd449,vd448),vmul(vd448,vmul(vd449,X1))) = vmul(vd448,vplus(vd449,vmul(vd449,X1)))
| vmul(vmul(vd449,vd448),X1) != vmul(vd448,vmul(vd449,X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_66]),c_0_67]),c_0_67]),c_0_66]) ).
cnf(c_0_72,plain,
vplus(X1,vmul(X1,X2)) = vmul(X1,vplus(X2,v1)),
inference(rw,[status(thm)],[c_0_68,c_0_67]) ).
cnf(c_0_73,plain,
vplus(X1,vmul(X2,X1)) = vmul(vplus(X2,v1),X1),
inference(rw,[status(thm)],[c_0_69,c_0_67]) ).
cnf(c_0_74,negated_conjecture,
vmul(esk1_0,vmul(vd449,vd448)) = vmul(vd448,vmul(vd449,esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_66]),c_0_66]) ).
cnf(c_0_75,negated_conjecture,
vmul(vmul(vd448,vd449),vplus(esk1_0,v1)) != vmul(vd448,vmul(vd449,vplus(esk1_0,v1))),
i_0_1 ).
cnf(c_0_76,plain,
( vplus(vmul(vd449,vd448),vmul(vd448,vmul(vd449,X1))) = vmul(vd448,vmul(vd449,vplus(X1,v1)))
| vmul(vmul(vd449,vd448),X1) != vmul(vd448,vmul(vd449,X1)) ),
inference(rw,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_77,negated_conjecture,
vplus(vmul(vd449,vd448),vmul(vd448,vmul(vd449,esk1_0))) = vmul(vmul(vd449,vd448),vplus(v1,esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_67]),c_0_66]) ).
cnf(c_0_78,negated_conjecture,
vmul(vmul(vd449,vd448),vplus(v1,esk1_0)) != vmul(vd448,vmul(vd449,vplus(v1,esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_66]),c_0_67]),c_0_67]) ).
cnf(c_0_79,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_67]),c_0_78]),c_0_66]),c_0_74])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM849+1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jul 6 23:37:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 7.76/2.32 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.76/2.32 # No SInE strategy applied
% 7.76/2.32 # Trying AutoSched0 for 150 seconds
% 7.76/2.32 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.76/2.32 # and selection function SelectComplexExceptUniqMaxHorn.
% 7.76/2.32 #
% 7.76/2.32 # Preprocessing time : 0.023 s
% 7.76/2.32 # Presaturation interreduction done
% 7.76/2.32
% 7.76/2.32 # Proof found!
% 7.76/2.32 # SZS status Theorem
% 7.76/2.32 # SZS output start CNFRefutation
% See solution above
% 7.76/2.32 # Training examples: 0 positive, 0 negative
% 7.76/2.32
% 7.76/2.32 # -------------------------------------------------
% 7.76/2.32 # User time : 0.025 s
% 7.76/2.32 # System time : 0.008 s
% 7.76/2.32 # Total time : 0.032 s
% 7.76/2.32 # Maximum resident set size: 7128 pages
% 7.76/2.32
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