%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : FLD013-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 12:23:07 PM UTC 2026
% Result : Unsatisfiable 0.27s 0.65s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of clauses : 38 ( 21 unt; 0 nHn; 38 RR)
% Number of literals : 66 ( 0 equ; 31 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(compatibility_of_equality_and_addition,axiom,
( ~ equalish(X1,X3)
| ~ defined(X2)
| equalish(add(X1,X2),add(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_addition) ).
cnf(a_equals_b_6,negated_conjecture,
equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b_6) ).
cnf(transitivity_of_equality,axiom,
( ~ equalish(X3,X2)
| ~ equalish(X1,X3)
| equalish(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).
cnf(symmetry_of_equality,axiom,
( ~ equalish(X2,X1)
| equalish(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).
cnf(c_is_defined,hypothesis,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
cnf(add_equals_u_8,negated_conjecture,
equalish(add(a,c),u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_equals_u_8) ).
cnf(c_equals_d_7,negated_conjecture,
equalish(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_equals_d_7) ).
cnf(commutativity_addition,axiom,
( ~ defined(X2)
| ~ defined(X1)
| equalish(add(X1,X2),add(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',commutativity_addition) ).
cnf(b_is_defined,hypothesis,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
cnf(add_not_equal_to_u_9,negated_conjecture,
~ equalish(add(d,b),u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_not_equal_to_u_9) ).
cnf(c_0_10,plain,
( ~ equalish(X1,X3)
| ~ defined(X2)
| equalish(add(X1,X2),add(X3,X2)) ),
inference(fof_simplification,[status(thm)],[compatibility_of_equality_and_addition]) ).
cnf(c_0_11,plain,
( ~ equalish(X1,X3)
| ~ defined(X2)
| equalish(add(X1,X2),add(X3,X2)) ),
c_0_10 ).
cnf(c_0_12,negated_conjecture,
equalish(a,b),
a_equals_b_6 ).
cnf(c_0_13,plain,
( ~ equalish(X3,X2)
| ~ equalish(X1,X3)
| equalish(X1,X2) ),
inference(fof_simplification,[status(thm)],[transitivity_of_equality]) ).
cnf(c_0_14,plain,
( ~ equalish(X2,X1)
| equalish(X1,X2) ),
inference(fof_simplification,[status(thm)],[symmetry_of_equality]) ).
cnf(c_0_15,negated_conjecture,
( ~ defined(X1)
| equalish(add(a,X1),add(b,X1)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,hypothesis,
defined(c),
c_is_defined ).
cnf(c_0_17,plain,
( ~ equalish(X3,X2)
| ~ equalish(X1,X3)
| equalish(X1,X2) ),
c_0_13 ).
cnf(c_0_18,negated_conjecture,
equalish(add(a,c),u),
add_equals_u_8 ).
cnf(c_0_19,plain,
( ~ equalish(X2,X1)
| equalish(X1,X2) ),
c_0_14 ).
cnf(c_0_20,hypothesis,
equalish(add(a,c),add(b,c)),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
equalish(c,d),
c_equals_d_7 ).
cnf(c_0_22,plain,
( ~ defined(X2)
| ~ defined(X1)
| equalish(add(X1,X2),add(X2,X1)) ),
inference(fof_simplification,[status(thm)],[commutativity_addition]) ).
cnf(c_0_23,negated_conjecture,
( ~ equalish(X1,add(a,c))
| equalish(X1,u) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,hypothesis,
equalish(add(b,c),add(a,c)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
( ~ defined(X1)
| equalish(add(c,X1),add(d,X1)) ),
inference(spm,[status(thm)],[c_0_11,c_0_21]) ).
cnf(c_0_26,hypothesis,
defined(b),
b_is_defined ).
cnf(c_0_27,plain,
( ~ defined(X2)
| ~ defined(X1)
| equalish(add(X1,X2),add(X2,X1)) ),
c_0_22 ).
cnf(c_0_28,negated_conjecture,
equalish(add(b,c),u),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,hypothesis,
equalish(add(c,b),add(d,b)),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,plain,
( ~ equalish(X1,add(X3,X2))
| ~ defined(X3)
| ~ defined(X2)
| equalish(X1,add(X2,X3)) ),
inference(spm,[status(thm)],[c_0_17,c_0_27]) ).
cnf(c_0_31,negated_conjecture,
equalish(u,add(b,c)),
inference(spm,[status(thm)],[c_0_19,c_0_28]) ).
cnf(c_0_32,hypothesis,
( ~ equalish(X1,add(c,b))
| equalish(X1,add(d,b)) ),
inference(spm,[status(thm)],[c_0_17,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
equalish(u,add(c,b)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_16]),c_0_26])]) ).
cnf(c_0_34,negated_conjecture,
~ equalish(add(d,b),u),
inference(fof_simplification,[status(thm)],[add_not_equal_to_u_9]) ).
cnf(c_0_35,hypothesis,
equalish(u,add(d,b)),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
~ equalish(add(d,b),u),
c_0_34 ).
cnf(c_0_37,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_35]),c_0_36]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : FLD013-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n010.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 15:37:55 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.51 Running first-order theorem proving
% 0.18/0.51 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
% 0.27/0.65 % Version: 3.5.1
% 0.27/0.65 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.27/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.65 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.27/0.65 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.65 % Starting new_bool_1 with 300s (1) cores
% 0.27/0.65 % Starting sh5l with 300s (1) cores
% 0.27/0.65 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1199116 completed with status 0
% 0.27/0.65 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.27/0.65 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.27/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.65 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.27/0.65 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.27/0.65 % No SInE strategy applied
% 0.27/0.65 % Search class: FGUNF-FFMM21-SFFFFFNN
% 0.27/0.65 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.27/0.65 % Starting SubtermCWHack with 136s (1) cores
% 0.27/0.65 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.27/0.65 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 296s (1) cores
% 0.27/0.65 % Starting new_bool_3 with 269s (1) cores
% 0.27/0.65 % Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 136s (1) cores
% 0.27/0.65 % G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with pid 1199126 completed with status 0
% 0.27/0.65 % Result found by G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN
% 0.27/0.65 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.27/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.65 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.27/0.65 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.27/0.65 % No SInE strategy applied
% 0.27/0.65 % Search class: FGUNF-FFMM21-SFFFFFNN
% 0.27/0.65 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.27/0.65 % Starting SubtermCWHack with 136s (1) cores
% 0.27/0.65 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.27/0.65 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 296s (1) cores
% 0.27/0.65 % Starting new_bool_3 with 269s (1) cores
% 0.27/0.65 % Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 136s (1) cores
% 0.27/0.65 % Preprocessing time : 0.002 s
% 0.27/0.65 % Presaturation interreduction done
% 0.27/0.65
% 0.27/0.65 % Proof found!
% 0.27/0.65 % SZS status Unsatisfiable
% 0.27/0.65 % SZS output start CNFRefutation
% See solution above
% 0.27/0.65 % Parsed axioms : 36
% 0.27/0.65 % Removed by relevancy pruning/SinE : 0
% 0.27/0.65 % Initial clauses : 36
% 0.27/0.65 % Removed in clause preprocessing : 0
% 0.27/0.65 % Initial clauses in saturation : 36
% 0.27/0.65 % Processed clauses : 517
% 0.27/0.65 % ...of these trivial : 29
% 0.27/0.65 % ...subsumed : 52
% 0.27/0.65 % ...remaining for further processing : 436
% 0.27/0.65 % Other redundant clauses eliminated : 0
% 0.27/0.65 % Clauses deleted for lack of memory : 0
% 0.27/0.65 % Backward-subsumed : 0
% 0.27/0.65 % Backward-rewritten : 0
% 0.27/0.65 % Generated clauses : 2554
% 0.27/0.65 % ...of the previous two non-redundant : 2030
% 0.27/0.65 % ...aggressively subsumed : 0
% 0.27/0.65 % Contextual simplify-reflections : 0
% 0.27/0.65 % Paramodulations : 2554
% 0.27/0.65 % Factorizations : 0
% 0.27/0.65 % NegExts : 0
% 0.27/0.65 % Equation resolutions : 0
% 0.27/0.65 % Disequality decompositions : 0
% 0.27/0.65 % Total rewrite steps : 792
% 0.27/0.65 % ...of those cached : 594
% 0.27/0.65 % Propositional unsat checks : 0
% 0.27/0.65 % Propositional check models : 0
% 0.27/0.65 % Propositional check unsatisfiable : 0
% 0.27/0.65 % Propositional clauses : 0
% 0.27/0.65 % Propositional clauses after purity: 0
% 0.27/0.65 % Propositional unsat core size : 0
% 0.27/0.65 % Propositional preprocessing time : 0.000
% 0.27/0.65 % Propositional encoding time : 0.000
% 0.27/0.65 % Propositional solver time : 0.000
% 0.27/0.65 % Success case prop preproc time : 0.000
% 0.27/0.65 % Success case prop encoding time : 0.000
% 0.27/0.65 % Success case prop solver time : 0.000
% 0.27/0.65 % Current number of processed clauses : 400
% 0.27/0.65 % Positive orientable unit clauses : 217
% 0.27/0.65 % Positive unorientable unit clauses: 0
% 0.27/0.65 % Negative unit clauses : 2
% 0.27/0.65 % Non-unit-clauses : 181
% 0.27/0.65 % Current number of unprocessed clauses: 1585
% 0.27/0.65 % ...number of literals in the above : 4163
% 0.27/0.65 % Current number of archived formulas : 0
% 0.27/0.65 % Current number of archived clauses : 36
% 0.27/0.65 % Clause-clause subsumption calls (NU) : 2443
% 0.27/0.65 % Rec. Clause-clause subsumption calls : 2035
% 0.27/0.65 % Non-unit clause-clause subsumptions : 52
% 0.27/0.65 % Unit Clause-clause subsumption calls : 371
% 0.27/0.65 % Rewrite failures with RHS unbound : 0
% 0.27/0.65 % BW rewrite match attempts : 0
% 0.27/0.65 % BW rewrite match successes : 0
% 0.27/0.65 % Condensation attempts : 0
% 0.27/0.65 % Condensation successes : 0
% 0.27/0.65 % Termbank termtop insertions : 32547
% 0.27/0.65 % Search garbage collected termcells : 71
% 0.27/0.65
% 0.27/0.65 % -------------------------------------------------
% 0.27/0.65 % User time : 0.076 s
% 0.27/0.65 % System time : 0.010 s
% 0.27/0.65 % Total time : 0.087 s
% 0.27/0.65 % Maximum resident set size: 3660 pages
% 0.27/0.65
% 0.27/0.65 % -------------------------------------------------
% 0.27/0.65 % User time : 0.336 s
% 0.27/0.65 % System time : 0.037 s
% 0.27/0.65 % Total time : 0.372 s
% 0.27/0.65 % Maximum resident set size: 4864 pages
% 0.27/0.65 % E exiting
%------------------------------------------------------------------------------