TSTP Solution File: SYN140-1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SYN140-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n010.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 20:13:54 EDT 2023
% Result : Unsatisfiable 0.79s 0.59s
% Output : CNFRefutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 26
% Syntax : Number of clauses : 80 ( 36 unt; 0 nHn; 57 RR)
% Number of literals : 161 ( 0 equ; 86 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 119 ( 41 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_085,axiom,
( p1(X1,X1,X1)
| ~ p0(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.1SNGxFD0vj/E---3.1_20509.p',rule_085) ).
cnf(axiom_14,axiom,
p0(b,X1),
file('/export/starexec/sandbox/tmp/tmp.1SNGxFD0vj/E---3.1_20509.p',axiom_14) ).
cnf(rule_126,axiom,
( s1(X1)
| ~ q0(X1,X2)
| ~ s1(X3) ),
file('/export/starexec/sandbox/tmp/tmp.1SNGxFD0vj/E---3.1_20509.p',rule_126) ).
cnf(axiom_17,axiom,
q0(X1,d),
file('/export/starexec/sandbox/tmp/tmp.1SNGxFD0vj/E---3.1_20509.p',axiom_17) ).
cnf(rule_125,axiom,
( s1(X1)
| ~ p0(X1,X1) ),
file('/export/starexec/sandbox/tmp/tmp.1SNGxFD0vj/E---3.1_20509.p',rule_125) ).
cnf(rule_181,axiom,
( q2(X1,X1,X1)
| ~ p1(X1,X1,X1) ),
file('/export/starexec/sandbox/tmp/tmp.1SNGxFD0vj/E---3.1_20509.p',rule_181) ).
cnf(rule_273,axiom,
( s3(X1,X2)
| ~ q2(X3,X1,X3)
| ~ s2(X1)
| ~ m0(X3,X4,X2) ),
file('/export/starexec/sandbox/tmp/tmp.1SNGxFD0vj/E---3.1_20509.p',rule_273) ).
cnf(rule_133,axiom,
( l2(X1,X1)
| ~ p0(X2,X2)
| ~ s1(X3)
| ~ m0(X4,X3,X1) ),
file('/export/starexec/sandbox/tmp/tmp.1SNGxFD0vj/E---3.1_20509.p',rule_133) ).
cnf(axiom_19,axiom,
m0(X1,d,X2),
file('/export/starexec/sandbox/tmp/tmp.1SNGxFD0vj/E---3.1_20509.p',axiom_19) ).
cnf(rule_063,axiom,
( p1(X1,X1,X2)
| ~ n0(d,X1)
| ~ k0(X2) ),
file('/export/starexec/sandbox/tmp/tmp.1SNGxFD0vj/E---3.1_20509.p',rule_063) ).
cnf(axiom_7,axiom,
n0(d,b),
file('/export/starexec/sandbox/tmp/tmp.1SNGxFD0vj/E---3.1_20509.p',axiom_7) ).
cnf(rule_279,axiom,
( m4(X1,X2)
| ~ l2(X3,X2)
| ~ s3(a,X1) ),
file('/export/starexec/sandbox/tmp/tmp.1SNGxFD0vj/E---3.1_20509.p',rule_279) ).
cnf(axiom_28,axiom,
k0(e),
file('/export/starexec/sandbox/tmp/tmp.1SNGxFD0vj/E---3.1_20509.p',axiom_28) ).
cnf(rule_082,axiom,
( p1(X1,X2,X3)
| ~ m0(X3,X1,X4)
| ~ p1(X3,X1,X4) ),
file('/export/starexec/sandbox/tmp/tmp.1SNGxFD0vj/E---3.1_20509.p',rule_082) ).
cnf(axiom_31,axiom,
m0(b,b,e),
file('/export/starexec/sandbox/tmp/tmp.1SNGxFD0vj/E---3.1_20509.p',axiom_31) ).
cnf(rule_050,axiom,
( n1(X1,X2,X1)
| ~ s0(b)
| ~ l0(X1)
| ~ p0(b,X2) ),
file('/export/starexec/sandbox/tmp/tmp.1SNGxFD0vj/E---3.1_20509.p',rule_050) ).
cnf(axiom_5,axiom,
s0(b),
file('/export/starexec/sandbox/tmp/tmp.1SNGxFD0vj/E---3.1_20509.p',axiom_5) ).
cnf(prove_this,negated_conjecture,
~ m4(b,X1),
file('/export/starexec/sandbox/tmp/tmp.1SNGxFD0vj/E---3.1_20509.p',prove_this) ).
cnf(rule_189,axiom,
( s2(X1)
| ~ q2(b,X1,b)
| ~ s1(b) ),
file('/export/starexec/sandbox/tmp/tmp.1SNGxFD0vj/E---3.1_20509.p',rule_189) ).
cnf(rule_182,axiom,
( q2(X1,X2,X1)
| ~ p1(X1,X1,X3)
| ~ n1(X2,X1,X3)
| ~ q2(X2,X3,X1) ),
file('/export/starexec/sandbox/tmp/tmp.1SNGxFD0vj/E---3.1_20509.p',rule_182) ).
cnf(rule_177,axiom,
( q2(X1,X2,X2)
| ~ k0(X2)
| ~ p1(X1,X1,X1) ),
file('/export/starexec/sandbox/tmp/tmp.1SNGxFD0vj/E---3.1_20509.p',rule_177) ).
cnf(axiom_20,axiom,
l0(a),
file('/export/starexec/sandbox/tmp/tmp.1SNGxFD0vj/E---3.1_20509.p',axiom_20) ).
cnf(axiom_32,axiom,
k0(b),
file('/export/starexec/sandbox/tmp/tmp.1SNGxFD0vj/E---3.1_20509.p',axiom_32) ).
cnf(rule_054,axiom,
( n1(X1,X2,X2)
| ~ l0(X3)
| ~ l1(X3,X1)
| ~ n1(X1,X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.1SNGxFD0vj/E---3.1_20509.p',rule_054) ).
cnf(rule_002,axiom,
( l1(X1,X1)
| ~ n0(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.1SNGxFD0vj/E---3.1_20509.p',rule_002) ).
cnf(axiom_37,axiom,
n0(b,a),
file('/export/starexec/sandbox/tmp/tmp.1SNGxFD0vj/E---3.1_20509.p',axiom_37) ).
cnf(c_0_26,axiom,
( p1(X1,X1,X1)
| ~ p0(X2,X1) ),
rule_085 ).
cnf(c_0_27,axiom,
p0(b,X1),
axiom_14 ).
cnf(c_0_28,axiom,
( s1(X1)
| ~ q0(X1,X2)
| ~ s1(X3) ),
rule_126 ).
cnf(c_0_29,axiom,
q0(X1,d),
axiom_17 ).
cnf(c_0_30,axiom,
( s1(X1)
| ~ p0(X1,X1) ),
rule_125 ).
cnf(c_0_31,axiom,
( q2(X1,X1,X1)
| ~ p1(X1,X1,X1) ),
rule_181 ).
cnf(c_0_32,plain,
p1(X1,X1,X1),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,plain,
( s1(X1)
| ~ s1(X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,plain,
s1(b),
inference(spm,[status(thm)],[c_0_30,c_0_27]) ).
cnf(c_0_35,axiom,
( s3(X1,X2)
| ~ q2(X3,X1,X3)
| ~ s2(X1)
| ~ m0(X3,X4,X2) ),
rule_273 ).
cnf(c_0_36,plain,
q2(X1,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32])]) ).
cnf(c_0_37,axiom,
( l2(X1,X1)
| ~ p0(X2,X2)
| ~ s1(X3)
| ~ m0(X4,X3,X1) ),
rule_133 ).
cnf(c_0_38,plain,
s1(X1),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,plain,
( s3(X1,X2)
| ~ s2(X1)
| ~ m0(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,axiom,
m0(X1,d,X2),
axiom_19 ).
cnf(c_0_41,plain,
( l2(X1,X1)
| ~ p0(X2,X2)
| ~ m0(X3,X4,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38])]) ).
cnf(c_0_42,axiom,
( p1(X1,X1,X2)
| ~ n0(d,X1)
| ~ k0(X2) ),
rule_063 ).
cnf(c_0_43,axiom,
n0(d,b),
axiom_7 ).
cnf(c_0_44,axiom,
( m4(X1,X2)
| ~ l2(X3,X2)
| ~ s3(a,X1) ),
rule_279 ).
cnf(c_0_45,plain,
( s3(X1,X2)
| ~ s2(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,plain,
( l2(X1,X1)
| ~ p0(X2,X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_40]) ).
cnf(c_0_47,plain,
( p1(b,b,X1)
| ~ k0(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,axiom,
k0(e),
axiom_28 ).
cnf(c_0_49,plain,
( m4(X1,X2)
| ~ s2(a)
| ~ l2(X3,X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,plain,
l2(X1,X1),
inference(spm,[status(thm)],[c_0_46,c_0_27]) ).
cnf(c_0_51,axiom,
( p1(X1,X2,X3)
| ~ m0(X3,X1,X4)
| ~ p1(X3,X1,X4) ),
rule_082 ).
cnf(c_0_52,plain,
p1(b,b,e),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_53,axiom,
m0(b,b,e),
axiom_31 ).
cnf(c_0_54,axiom,
( n1(X1,X2,X1)
| ~ s0(b)
| ~ l0(X1)
| ~ p0(b,X2) ),
rule_050 ).
cnf(c_0_55,axiom,
s0(b),
axiom_5 ).
cnf(c_0_56,negated_conjecture,
~ m4(b,X1),
prove_this ).
cnf(c_0_57,plain,
( m4(X1,X2)
| ~ s2(a) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_58,axiom,
( s2(X1)
| ~ q2(b,X1,b)
| ~ s1(b) ),
rule_189 ).
cnf(c_0_59,axiom,
( q2(X1,X2,X1)
| ~ p1(X1,X1,X3)
| ~ n1(X2,X1,X3)
| ~ q2(X2,X3,X1) ),
rule_182 ).
cnf(c_0_60,plain,
p1(b,X1,b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]) ).
cnf(c_0_61,axiom,
( q2(X1,X2,X2)
| ~ k0(X2)
| ~ p1(X1,X1,X1) ),
rule_177 ).
cnf(c_0_62,plain,
( n1(X1,X2,X1)
| ~ l0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55]),c_0_27])]) ).
cnf(c_0_63,axiom,
l0(a),
axiom_20 ).
cnf(c_0_64,negated_conjecture,
~ s2(a),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_65,plain,
( s2(X1)
| ~ q2(b,X1,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_34])]) ).
cnf(c_0_66,plain,
( q2(b,X1,b)
| ~ q2(X1,b,b)
| ~ n1(X1,b,b) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_67,plain,
( q2(X1,X2,X2)
| ~ k0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_32])]) ).
cnf(c_0_68,axiom,
k0(b),
axiom_32 ).
cnf(c_0_69,axiom,
( n1(X1,X2,X2)
| ~ l0(X3)
| ~ l1(X3,X1)
| ~ n1(X1,X2,X1) ),
rule_054 ).
cnf(c_0_70,plain,
n1(a,X1,a),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_71,axiom,
( l1(X1,X1)
| ~ n0(X2,X1) ),
rule_002 ).
cnf(c_0_72,axiom,
n0(b,a),
axiom_37 ).
cnf(c_0_73,negated_conjecture,
~ q2(b,a,b),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_74,plain,
( q2(b,X1,b)
| ~ n1(X1,b,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68])]) ).
cnf(c_0_75,plain,
( n1(a,X1,X1)
| ~ l1(X2,a)
| ~ l0(X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_76,plain,
l1(a,a),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_77,negated_conjecture,
~ n1(a,b,b),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_78,plain,
n1(a,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_63])]) ).
cnf(c_0_79,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SYN140-1 : TPTP v8.1.2. Released v1.1.0.
% 0.06/0.14 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n010.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 : 2400
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Oct 2 18:38:20 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.1SNGxFD0vj/E---3.1_20509.p
% 0.79/0.59 # Version: 3.1pre001
% 0.79/0.59 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.79/0.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.79/0.59 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.79/0.59 # Starting new_bool_3 with 300s (1) cores
% 0.79/0.59 # Starting new_bool_1 with 300s (1) cores
% 0.79/0.59 # Starting sh5l with 300s (1) cores
% 0.79/0.59 # sh5l with pid 20661 completed with status 0
% 0.79/0.59 # Result found by sh5l
% 0.79/0.59 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.79/0.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.79/0.59 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.79/0.59 # Starting new_bool_3 with 300s (1) cores
% 0.79/0.59 # Starting new_bool_1 with 300s (1) cores
% 0.79/0.59 # Starting sh5l with 300s (1) cores
% 0.79/0.59 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.79/0.59 # Search class: FHUNM-FSLM00-SFFFFFNN
% 0.79/0.59 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.79/0.59 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.79/0.59 # SAT001_MinMin_p005000_rr_RG with pid 20674 completed with status 0
% 0.79/0.59 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.79/0.59 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.79/0.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.79/0.59 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.79/0.59 # Starting new_bool_3 with 300s (1) cores
% 0.79/0.59 # Starting new_bool_1 with 300s (1) cores
% 0.79/0.59 # Starting sh5l with 300s (1) cores
% 0.79/0.59 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.79/0.59 # Search class: FHUNM-FSLM00-SFFFFFNN
% 0.79/0.59 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.79/0.59 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.79/0.59 # Preprocessing time : 0.005 s
% 0.79/0.59 # Presaturation interreduction done
% 0.79/0.59
% 0.79/0.59 # Proof found!
% 0.79/0.59 # SZS status Unsatisfiable
% 0.79/0.59 # SZS output start CNFRefutation
% See solution above
% 0.79/0.59 # Parsed axioms : 369
% 0.79/0.59 # Removed by relevancy pruning/SinE : 0
% 0.79/0.59 # Initial clauses : 369
% 0.79/0.59 # Removed in clause preprocessing : 7
% 0.79/0.59 # Initial clauses in saturation : 362
% 0.79/0.59 # Processed clauses : 1518
% 0.79/0.59 # ...of these trivial : 61
% 0.79/0.59 # ...subsumed : 92
% 0.79/0.59 # ...remaining for further processing : 1365
% 0.79/0.59 # Other redundant clauses eliminated : 0
% 0.79/0.59 # Clauses deleted for lack of memory : 0
% 0.79/0.59 # Backward-subsumed : 104
% 0.79/0.59 # Backward-rewritten : 378
% 0.79/0.59 # Generated clauses : 2226
% 0.79/0.59 # ...of the previous two non-redundant : 1604
% 0.79/0.59 # ...aggressively subsumed : 0
% 0.79/0.59 # Contextual simplify-reflections : 2
% 0.79/0.59 # Paramodulations : 2226
% 0.79/0.59 # Factorizations : 0
% 0.79/0.59 # NegExts : 0
% 0.79/0.59 # Equation resolutions : 0
% 0.79/0.59 # Total rewrite steps : 1566
% 0.79/0.59 # Propositional unsat checks : 0
% 0.79/0.59 # Propositional check models : 0
% 0.79/0.59 # Propositional check unsatisfiable : 0
% 0.79/0.59 # Propositional clauses : 0
% 0.79/0.59 # Propositional clauses after purity: 0
% 0.79/0.59 # Propositional unsat core size : 0
% 0.79/0.59 # Propositional preprocessing time : 0.000
% 0.79/0.59 # Propositional encoding time : 0.000
% 0.79/0.59 # Propositional solver time : 0.000
% 0.79/0.59 # Success case prop preproc time : 0.000
% 0.79/0.59 # Success case prop encoding time : 0.000
% 0.79/0.59 # Success case prop solver time : 0.000
% 0.79/0.59 # Current number of processed clauses : 555
% 0.79/0.59 # Positive orientable unit clauses : 251
% 0.79/0.59 # Positive unorientable unit clauses: 0
% 0.79/0.59 # Negative unit clauses : 4
% 0.79/0.59 # Non-unit-clauses : 300
% 0.79/0.59 # Current number of unprocessed clauses: 321
% 0.79/0.59 # ...number of literals in the above : 1031
% 0.79/0.59 # Current number of archived formulas : 0
% 0.79/0.59 # Current number of archived clauses : 810
% 0.79/0.59 # Clause-clause subsumption calls (NU) : 65474
% 0.79/0.59 # Rec. Clause-clause subsumption calls : 48682
% 0.79/0.59 # Non-unit clause-clause subsumptions : 175
% 0.79/0.59 # Unit Clause-clause subsumption calls : 6280
% 0.79/0.59 # Rewrite failures with RHS unbound : 0
% 0.79/0.59 # BW rewrite match attempts : 902
% 0.79/0.59 # BW rewrite match successes : 259
% 0.79/0.59 # Condensation attempts : 0
% 0.79/0.59 # Condensation successes : 0
% 0.79/0.59 # Termbank termtop insertions : 33687
% 0.79/0.59
% 0.79/0.59 # -------------------------------------------------
% 0.79/0.59 # User time : 0.103 s
% 0.79/0.59 # System time : 0.006 s
% 0.79/0.59 # Total time : 0.109 s
% 0.79/0.59 # Maximum resident set size: 2528 pages
% 0.79/0.59
% 0.79/0.59 # -------------------------------------------------
% 0.79/0.59 # User time : 0.109 s
% 0.79/0.59 # System time : 0.008 s
% 0.79/0.59 # Total time : 0.117 s
% 0.79/0.59 # Maximum resident set size: 2000 pages
% 0.79/0.59 % E---3.1 exiting
% 0.79/0.60 % E---3.1 exiting
%------------------------------------------------------------------------------