TSTP Solution File: ROB016-1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : ROB016-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:15:55 EDT 2023
% Result : Unsatisfiable 0.23s 0.56s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 14 unt; 0 nHn; 12 RR)
% Number of literals : 22 ( 16 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(robbins_axiom,axiom,
negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = X1,
file('/export/starexec/sandbox/tmp/tmp.J1RN7AMsrP/E---3.1_7566.p',robbins_axiom) ).
cnf(commutativity_of_add,axiom,
add(X1,X2) = add(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.J1RN7AMsrP/E---3.1_7566.p',commutativity_of_add) ).
cnf(condition,hypothesis,
negate(add(d,e)) = negate(e),
file('/export/starexec/sandbox/tmp/tmp.J1RN7AMsrP/E---3.1_7566.p',condition) ).
cnf(lemma_3_6,axiom,
( negate(add(X1,multiply(X3,add(X2,negate(add(X2,negate(X1))))))) = negate(X1)
| negate(add(negate(X1),negate(add(X2,negate(X1))))) != X2
| ~ positive_integer(X3) ),
file('/export/starexec/sandbox/tmp/tmp.J1RN7AMsrP/E---3.1_7566.p',lemma_3_6) ).
cnf(k_positive,axiom,
positive_integer(k),
file('/export/starexec/sandbox/tmp/tmp.J1RN7AMsrP/E---3.1_7566.p',k_positive) ).
cnf(prove_result,negated_conjecture,
negate(add(e,multiply(k,add(d,negate(add(d,negate(e))))))) != negate(e),
file('/export/starexec/sandbox/tmp/tmp.J1RN7AMsrP/E---3.1_7566.p',prove_result) ).
cnf(c_0_6,axiom,
negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = X1,
robbins_axiom ).
cnf(c_0_7,axiom,
add(X1,X2) = add(X2,X1),
commutativity_of_add ).
cnf(c_0_8,hypothesis,
negate(add(d,e)) = negate(e),
condition ).
cnf(c_0_9,plain,
negate(add(negate(add(X1,X2)),negate(add(X2,negate(X1))))) = X2,
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,hypothesis,
negate(add(e,d)) = negate(e),
inference(rw,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_11,axiom,
( negate(add(X1,multiply(X3,add(X2,negate(add(X2,negate(X1))))))) = negate(X1)
| negate(add(negate(X1),negate(add(X2,negate(X1))))) != X2
| ~ positive_integer(X3) ),
lemma_3_6 ).
cnf(c_0_12,hypothesis,
negate(add(negate(e),negate(add(d,negate(e))))) = d,
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,hypothesis,
( negate(add(e,multiply(X1,add(d,negate(add(d,negate(e))))))) = negate(e)
| ~ positive_integer(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,axiom,
positive_integer(k),
k_positive ).
cnf(c_0_15,negated_conjecture,
negate(add(e,multiply(k,add(d,negate(add(d,negate(e))))))) != negate(e),
prove_result ).
cnf(c_0_16,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : ROB016-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.16 % Command : run_E %s %d THM
% 0.15/0.38 % Computer : n014.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 2400
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Tue Oct 3 00:24:49 EDT 2023
% 0.15/0.38 % CPUTime :
% 0.23/0.53 Running first-order theorem proving
% 0.23/0.53 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.J1RN7AMsrP/E---3.1_7566.p
% 0.23/0.56 # Version: 3.1pre001
% 0.23/0.56 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.23/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.56 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.23/0.56 # Starting new_bool_3 with 300s (1) cores
% 0.23/0.56 # Starting new_bool_1 with 300s (1) cores
% 0.23/0.56 # Starting sh5l with 300s (1) cores
% 0.23/0.56 # sh5l with pid 7647 completed with status 0
% 0.23/0.56 # Result found by sh5l
% 0.23/0.56 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.23/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.56 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.23/0.56 # Starting new_bool_3 with 300s (1) cores
% 0.23/0.56 # Starting new_bool_1 with 300s (1) cores
% 0.23/0.56 # Starting sh5l with 300s (1) cores
% 0.23/0.56 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.23/0.56 # Search class: FHUSM-FFSS21-DFFFFFNN
% 0.23/0.56 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.56 # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 121s (1) cores
% 0.23/0.56 # G-E--_208_C18_F1_AE_CS_SP_PI_S0a with pid 7650 completed with status 0
% 0.23/0.56 # Result found by G-E--_208_C18_F1_AE_CS_SP_PI_S0a
% 0.23/0.56 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.23/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.56 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.23/0.56 # Starting new_bool_3 with 300s (1) cores
% 0.23/0.56 # Starting new_bool_1 with 300s (1) cores
% 0.23/0.56 # Starting sh5l with 300s (1) cores
% 0.23/0.56 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.23/0.56 # Search class: FHUSM-FFSS21-DFFFFFNN
% 0.23/0.56 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.56 # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 121s (1) cores
% 0.23/0.56 # Preprocessing time : 0.001 s
% 0.23/0.56
% 0.23/0.56 # Proof found!
% 0.23/0.56 # SZS status Unsatisfiable
% 0.23/0.56 # SZS output start CNFRefutation
% See solution above
% 0.23/0.56 # Parsed axioms : 11
% 0.23/0.56 # Removed by relevancy pruning/SinE : 0
% 0.23/0.56 # Initial clauses : 11
% 0.23/0.56 # Removed in clause preprocessing : 0
% 0.23/0.56 # Initial clauses in saturation : 11
% 0.23/0.56 # Processed clauses : 129
% 0.23/0.56 # ...of these trivial : 26
% 0.23/0.56 # ...subsumed : 37
% 0.23/0.56 # ...remaining for further processing : 66
% 0.23/0.56 # Other redundant clauses eliminated : 0
% 0.23/0.56 # Clauses deleted for lack of memory : 0
% 0.23/0.56 # Backward-subsumed : 0
% 0.23/0.56 # Backward-rewritten : 1
% 0.23/0.56 # Generated clauses : 1011
% 0.23/0.56 # ...of the previous two non-redundant : 946
% 0.23/0.56 # ...aggressively subsumed : 0
% 0.23/0.56 # Contextual simplify-reflections : 0
% 0.23/0.56 # Paramodulations : 1011
% 0.23/0.56 # Factorizations : 0
% 0.23/0.56 # NegExts : 0
% 0.23/0.56 # Equation resolutions : 0
% 0.23/0.56 # Total rewrite steps : 605
% 0.23/0.56 # Propositional unsat checks : 0
% 0.23/0.56 # Propositional check models : 0
% 0.23/0.56 # Propositional check unsatisfiable : 0
% 0.23/0.56 # Propositional clauses : 0
% 0.23/0.56 # Propositional clauses after purity: 0
% 0.23/0.56 # Propositional unsat core size : 0
% 0.23/0.56 # Propositional preprocessing time : 0.000
% 0.23/0.56 # Propositional encoding time : 0.000
% 0.23/0.56 # Propositional solver time : 0.000
% 0.23/0.56 # Success case prop preproc time : 0.000
% 0.23/0.56 # Success case prop encoding time : 0.000
% 0.23/0.56 # Success case prop solver time : 0.000
% 0.23/0.56 # Current number of processed clauses : 65
% 0.23/0.56 # Positive orientable unit clauses : 56
% 0.23/0.56 # Positive unorientable unit clauses: 4
% 0.23/0.56 # Negative unit clauses : 1
% 0.23/0.56 # Non-unit-clauses : 4
% 0.23/0.56 # Current number of unprocessed clauses: 828
% 0.23/0.56 # ...number of literals in the above : 974
% 0.23/0.56 # Current number of archived formulas : 0
% 0.23/0.56 # Current number of archived clauses : 1
% 0.23/0.56 # Clause-clause subsumption calls (NU) : 0
% 0.23/0.56 # Rec. Clause-clause subsumption calls : 0
% 0.23/0.56 # Non-unit clause-clause subsumptions : 0
% 0.23/0.56 # Unit Clause-clause subsumption calls : 31
% 0.23/0.56 # Rewrite failures with RHS unbound : 0
% 0.23/0.56 # BW rewrite match attempts : 335
% 0.23/0.56 # BW rewrite match successes : 16
% 0.23/0.56 # Condensation attempts : 0
% 0.23/0.56 # Condensation successes : 0
% 0.23/0.56 # Termbank termtop insertions : 23391
% 0.23/0.56
% 0.23/0.56 # -------------------------------------------------
% 0.23/0.56 # User time : 0.015 s
% 0.23/0.56 # System time : 0.004 s
% 0.23/0.56 # Total time : 0.020 s
% 0.23/0.56 # Maximum resident set size: 1620 pages
% 0.23/0.56
% 0.23/0.56 # -------------------------------------------------
% 0.23/0.56 # User time : 0.017 s
% 0.23/0.56 # System time : 0.005 s
% 0.23/0.56 # Total time : 0.023 s
% 0.23/0.56 # Maximum resident set size: 1680 pages
% 0.23/0.56 % E---3.1 exiting
% 0.23/0.57 % E---3.1 exiting
%------------------------------------------------------------------------------