%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : RNG040-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:06:09 PM UTC 2026
% Result : Unsatisfiable 0.41s 0.50s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 23 ( 15 unt; 0 nHn; 23 RR)
% Number of literals : 43 ( 0 equ; 23 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 36 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(product_symmetry,hypothesis,
( ~ product(X1,X2,X3)
| product(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_symmetry) ).
cnf(distributivity1,axiom,
( ~ product(X1,X6,X7)
| ~ sum(X2,X4,X6)
| ~ product(X1,X4,X5)
| ~ product(X1,X2,X3)
| sum(X3,X5,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
cnf(d_plus_a,negated_conjecture,
product(d,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_plus_a) ).
cnf(c_plus_a,negated_conjecture,
product(c,a,n),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_plus_a) ).
cnf(b_plus_a,negated_conjecture,
product(b,a,l),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_plus_a) ).
cnf(prove_equation,negated_conjecture,
~ sum(l,n,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).
cnf(b_plus_c,negated_conjecture,
sum(b,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_plus_c) ).
cnf(c_0_7,hypothesis,
( ~ product(X1,X2,X3)
| product(X2,X1,X3) ),
inference(fof_simplification,[status(thm)],[product_symmetry]) ).
cnf(c_0_8,plain,
( ~ product(X1,X6,X7)
| ~ sum(X2,X4,X6)
| ~ product(X1,X4,X5)
| ~ product(X1,X2,X3)
| sum(X3,X5,X7) ),
inference(fof_simplification,[status(thm)],[distributivity1]) ).
cnf(c_0_9,hypothesis,
( ~ product(X1,X2,X3)
| product(X2,X1,X3) ),
c_0_7 ).
cnf(c_0_10,negated_conjecture,
product(d,a,additive_identity),
d_plus_a ).
cnf(c_0_11,plain,
( ~ product(X1,X6,X7)
| ~ sum(X2,X4,X6)
| ~ product(X1,X4,X5)
| ~ product(X1,X2,X3)
| sum(X3,X5,X7) ),
c_0_8 ).
cnf(c_0_12,negated_conjecture,
product(a,d,additive_identity),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
product(c,a,n),
c_plus_a ).
cnf(c_0_14,negated_conjecture,
( ~ sum(X4,X3,d)
| ~ product(a,X4,X1)
| ~ product(a,X3,X2)
| sum(X1,X2,additive_identity) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
product(a,c,n),
inference(spm,[status(thm)],[c_0_9,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
product(b,a,l),
b_plus_a ).
cnf(c_0_17,negated_conjecture,
~ sum(l,n,additive_identity),
inference(fof_simplification,[status(thm)],[prove_equation]) ).
cnf(c_0_18,negated_conjecture,
( ~ sum(X2,c,d)
| ~ product(a,X2,X1)
| sum(X1,n,additive_identity) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
product(a,b,l),
inference(spm,[status(thm)],[c_0_9,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
sum(b,c,d),
b_plus_c ).
cnf(c_0_21,negated_conjecture,
~ sum(l,n,additive_identity),
c_0_17 ).
cnf(c_0_22,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG040-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 04:17:23 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.41/0.50 % Version: 3.5.1
% 0.41/0.50 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.41/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.41/0.50 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.41/0.50 % Starting new_bool_3 with 300s (1) cores
% 0.41/0.50 % Starting new_bool_1 with 300s (1) cores
% 0.41/0.50 % Starting sh5l with 300s (1) cores
% 0.41/0.50 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 1342704 completed with status 0
% 0.41/0.50 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.41/0.50 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.41/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.41/0.50 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.41/0.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.41/0.50 % No SInE strategy applied
% 0.41/0.50 % Search class: FGUSM-FFMS21-SFFFFFNN
% 0.41/0.50 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.41/0.50 % Starting SubtermCWHack with 136s (1) cores
% 0.41/0.50 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.41/0.50 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.41/0.50 % Starting new_bool_3 with 136s (1) cores
% 0.41/0.50 % Starting new_bool_1 with 136s (1) cores
% 0.41/0.50 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 1342710 completed with status 0
% 0.41/0.50 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.41/0.50 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.41/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.41/0.50 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.41/0.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.41/0.50 % No SInE strategy applied
% 0.41/0.50 % Search class: FGUSM-FFMS21-SFFFFFNN
% 0.41/0.50 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.41/0.50 % Starting SubtermCWHack with 136s (1) cores
% 0.41/0.50 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.41/0.50 % Preprocessing time : 0.001 s
% 0.41/0.50 % Presaturation interreduction done
% 0.41/0.50
% 0.41/0.50 % Proof found!
% 0.41/0.50 % SZS status Unsatisfiable
% 0.41/0.50 % SZS output start CNFRefutation
% See solution above
% 0.41/0.50 % Parsed axioms : 25
% 0.41/0.50 % Removed by relevancy pruning/SinE : 0
% 0.41/0.50 % Initial clauses : 25
% 0.41/0.50 % Removed in clause preprocessing : 0
% 0.41/0.50 % Initial clauses in saturation : 25
% 0.41/0.50 % Processed clauses : 896
% 0.41/0.50 % ...of these trivial : 133
% 0.41/0.50 % ...subsumed : 136
% 0.41/0.50 % ...remaining for further processing : 627
% 0.41/0.50 % Other redundant clauses eliminated : 0
% 0.41/0.50 % Clauses deleted for lack of memory : 0
% 0.41/0.50 % Backward-subsumed : 2
% 0.41/0.50 % Backward-rewritten : 129
% 0.41/0.50 % Generated clauses : 2931
% 0.41/0.50 % ...of the previous two non-redundant : 2048
% 0.41/0.50 % ...aggressively subsumed : 0
% 0.41/0.50 % Contextual simplify-reflections : 0
% 0.41/0.50 % Paramodulations : 2931
% 0.41/0.50 % Factorizations : 0
% 0.41/0.50 % NegExts : 0
% 0.41/0.50 % Equation resolutions : 0
% 0.41/0.50 % Disequality decompositions : 0
% 0.41/0.50 % Total rewrite steps : 1686
% 0.41/0.50 % ...of those cached : 1361
% 0.41/0.50 % Propositional unsat checks : 0
% 0.41/0.50 % Propositional check models : 0
% 0.41/0.50 % Propositional check unsatisfiable : 0
% 0.41/0.50 % Propositional clauses : 0
% 0.41/0.50 % Propositional clauses after purity: 0
% 0.41/0.50 % Propositional unsat core size : 0
% 0.41/0.50 % Propositional preprocessing time : 0.000
% 0.41/0.50 % Propositional encoding time : 0.000
% 0.41/0.50 % Propositional solver time : 0.000
% 0.41/0.50 % Success case prop preproc time : 0.000
% 0.41/0.50 % Success case prop encoding time : 0.000
% 0.41/0.50 % Success case prop solver time : 0.000
% 0.41/0.50 % Current number of processed clauses : 471
% 0.41/0.50 % Positive orientable unit clauses : 92
% 0.41/0.50 % Positive unorientable unit clauses: 2
% 0.41/0.50 % Negative unit clauses : 1
% 0.41/0.50 % Non-unit-clauses : 376
% 0.41/0.50 % Current number of unprocessed clauses: 1048
% 0.41/0.50 % ...number of literals in the above : 2891
% 0.41/0.50 % Current number of archived formulas : 0
% 0.41/0.50 % Current number of archived clauses : 156
% 0.41/0.50 % Clause-clause subsumption calls (NU) : 17460
% 0.41/0.50 % Rec. Clause-clause subsumption calls : 15170
% 0.41/0.50 % Non-unit clause-clause subsumptions : 136
% 0.41/0.50 % Unit Clause-clause subsumption calls : 934
% 0.41/0.50 % Rewrite failures with RHS unbound : 0
% 0.41/0.50 % BW rewrite match attempts : 338
% 0.41/0.50 % BW rewrite match successes : 207
% 0.41/0.50 % Condensation attempts : 0
% 0.41/0.50 % Condensation successes : 0
% 0.41/0.50 % Termbank termtop insertions : 34931
% 0.41/0.50 % Search garbage collected termcells : 50
% 0.41/0.50
% 0.41/0.50 % -------------------------------------------------
% 0.41/0.50 % User time : 0.065 s
% 0.41/0.50 % System time : 0.007 s
% 0.41/0.50 % Total time : 0.072 s
% 0.41/0.50 % Maximum resident set size: 3648 pages
% 0.41/0.50
% 0.41/0.50 % -------------------------------------------------
% 0.41/0.50 % User time : 0.273 s
% 0.41/0.50 % System time : 0.028 s
% 0.41/0.50 % Total time : 0.301 s
% 0.41/0.50 % Maximum resident set size: 4864 pages
% 0.41/0.50 % E exiting
%------------------------------------------------------------------------------