%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : BOO013-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 12:06:58 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.60s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 23 ( 23 unt; 0 nHn; 13 RR)
% Number of literals : 23 ( 22 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(distributivity1,axiom,
add(multiply(X1,X2),X3) = multiply(add(X1,X3),add(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',distributivity1) ).
cnf(c_and_multiplicative_identity,hypothesis,
add(a,c) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_and_multiplicative_identity) ).
cnf(multiplicative_id2,axiom,
multiply(multiplicative_identity,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',multiplicative_id2) ).
cnf(commutativity_of_add,axiom,
add(X1,X2) = add(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',commutativity_of_add) ).
cnf(b_and_multiplicative_identity,hypothesis,
add(a,b) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_and_multiplicative_identity) ).
cnf(b_a_additive_identity,hypothesis,
multiply(a,b) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_a_additive_identity) ).
cnf(additive_id1,axiom,
add(X1,additive_identity) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',additive_id1) ).
cnf(prove_b_is_a,negated_conjecture,
b != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_is_a) ).
cnf(c_a_additive_identity,hypothesis,
multiply(a,c) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_a_additive_identity) ).
cnf(c_0_9,axiom,
add(multiply(X1,X2),X3) = multiply(add(X1,X3),add(X2,X3)),
distributivity1 ).
cnf(c_0_10,hypothesis,
add(a,c) = multiplicative_identity,
c_and_multiplicative_identity ).
cnf(c_0_11,axiom,
multiply(multiplicative_identity,X1) = X1,
multiplicative_id2 ).
cnf(c_0_12,axiom,
add(X1,X2) = add(X2,X1),
commutativity_of_add ).
cnf(c_0_13,hypothesis,
add(a,b) = multiplicative_identity,
b_and_multiplicative_identity ).
cnf(c_0_14,hypothesis,
add(c,multiply(a,X1)) = add(X1,c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12]) ).
cnf(c_0_15,hypothesis,
multiply(a,b) = additive_identity,
b_a_additive_identity ).
cnf(c_0_16,axiom,
add(X1,additive_identity) = X1,
additive_id1 ).
cnf(c_0_17,negated_conjecture,
b != c,
inference(fof_simplification,[status(thm)],[prove_b_is_a]) ).
cnf(c_0_18,hypothesis,
add(b,multiply(a,X1)) = add(X1,b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_13]),c_0_11]),c_0_12]) ).
cnf(c_0_19,hypothesis,
multiply(a,c) = additive_identity,
c_a_additive_identity ).
cnf(c_0_20,hypothesis,
add(b,c) = c,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_21,negated_conjecture,
b != c,
c_0_17 ).
cnf(c_0_22,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_16]),c_0_12]),c_0_20]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : BOO013-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.46 % Computer : n015.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Mon Sep 21 13:51:08 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.54 Running first-order theorem proving
% 0.22/0.54 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
% 0.22/0.60 % Version: 3.5.1
% 0.22/0.60 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.60 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.60 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.60 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.60 % Starting sh5l with 300s (1) cores
% 0.22/0.60 % sh5l with pid 1624610 completed with status 0
% 0.22/0.60 % Result found by sh5l
% 0.22/0.60 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.60 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.60 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.60 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.60 % Starting sh5l with 300s (1) cores
% 0.22/0.60 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.22/0.60 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.22/0.60 % Search class: FUUPM-FFSS21-SFFFFFNN
% 0.22/0.60 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.60 % Starting SubtermCWHack with 31s (1) cores
% 0.22/0.60 % SubtermCWHack with pid 1624615 completed with status 0
% 0.22/0.60 % Result found by SubtermCWHack
% 0.22/0.60 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.60 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.60 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.60 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.60 % Starting sh5l with 300s (1) cores
% 0.22/0.60 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.22/0.60 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.22/0.60 % Search class: FUUPM-FFSS21-SFFFFFNN
% 0.22/0.60 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.60 % Starting SubtermCWHack with 31s (1) cores
% 0.22/0.60 % Preprocessing time : 0.002 s
% 0.22/0.60
% 0.22/0.60 % Proof found!
% 0.22/0.60 % SZS status Unsatisfiable
% 0.22/0.60 % SZS output start CNFRefutation
% See solution above
% 0.22/0.60 % Parsed axioms : 19
% 0.22/0.60 % Removed by relevancy pruning/SinE : 0
% 0.22/0.60 % Initial clauses : 19
% 0.22/0.60 % Removed in clause preprocessing : 0
% 0.22/0.60 % Initial clauses in saturation : 19
% 0.22/0.60 % Processed clauses : 69
% 0.22/0.60 % ...of these trivial : 11
% 0.22/0.60 % ...subsumed : 2
% 0.22/0.60 % ...remaining for further processing : 55
% 0.22/0.60 % Other redundant clauses eliminated : 0
% 0.22/0.60 % Clauses deleted for lack of memory : 0
% 0.22/0.60 % Backward-subsumed : 0
% 0.22/0.60 % Backward-rewritten : 2
% 0.22/0.60 % Generated clauses : 350
% 0.22/0.60 % ...of the previous two non-redundant : 254
% 0.22/0.60 % ...aggressively subsumed : 0
% 0.22/0.60 % Contextual simplify-reflections : 0
% 0.22/0.60 % Paramodulations : 350
% 0.22/0.60 % Factorizations : 0
% 0.22/0.60 % NegExts : 0
% 0.22/0.60 % Equation resolutions : 0
% 0.22/0.60 % Disequality decompositions : 0
% 0.22/0.60 % Total rewrite steps : 320
% 0.22/0.60 % ...of those cached : 203
% 0.22/0.60 % Propositional unsat checks : 0
% 0.22/0.60 % Propositional check models : 0
% 0.22/0.60 % Propositional check unsatisfiable : 0
% 0.22/0.60 % Propositional clauses : 0
% 0.22/0.60 % Propositional clauses after purity: 0
% 0.22/0.60 % Propositional unsat core size : 0
% 0.22/0.60 % Propositional preprocessing time : 0.000
% 0.22/0.60 % Propositional encoding time : 0.000
% 0.22/0.60 % Propositional solver time : 0.000
% 0.22/0.60 % Success case prop preproc time : 0.000
% 0.22/0.60 % Success case prop encoding time : 0.000
% 0.22/0.60 % Success case prop solver time : 0.000
% 0.22/0.60 % Current number of processed clauses : 53
% 0.22/0.60 % Positive orientable unit clauses : 50
% 0.22/0.60 % Positive unorientable unit clauses: 2
% 0.22/0.60 % Negative unit clauses : 1
% 0.22/0.60 % Non-unit-clauses : 0
% 0.22/0.60 % Current number of unprocessed clauses: 204
% 0.22/0.60 % ...number of literals in the above : 204
% 0.22/0.60 % Current number of archived formulas : 0
% 0.22/0.60 % Current number of archived clauses : 2
% 0.22/0.60 % Clause-clause subsumption calls (NU) : 0
% 0.22/0.60 % Rec. Clause-clause subsumption calls : 0
% 0.22/0.60 % Non-unit clause-clause subsumptions : 0
% 0.22/0.60 % Unit Clause-clause subsumption calls : 0
% 0.22/0.60 % Rewrite failures with RHS unbound : 0
% 0.22/0.60 % BW rewrite match attempts : 26
% 0.22/0.60 % BW rewrite match successes : 24
% 0.22/0.60 % Condensation attempts : 0
% 0.22/0.60 % Condensation successes : 0
% 0.22/0.60 % Termbank termtop insertions : 3334
% 0.22/0.60 % Search garbage collected termcells : 2
% 0.22/0.60
% 0.22/0.60 % -------------------------------------------------
% 0.22/0.60 % User time : 0.011 s
% 0.22/0.60 % System time : 0.003 s
% 0.22/0.60 % Total time : 0.014 s
% 0.22/0.60 % Maximum resident set size: 3640 pages
% 0.22/0.60
% 0.22/0.60 % -------------------------------------------------
% 0.22/0.60 % User time : 0.012 s
% 0.22/0.60 % System time : 0.010 s
% 0.22/0.60 % Total time : 0.022 s
% 0.22/0.60 % Maximum resident set size: 4608 pages
% 0.22/0.60 % E exiting
%------------------------------------------------------------------------------