%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PLA017-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 01:58:50 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.76s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 29 ( 29 unt; 0 nHn; 17 RR)
% Number of literals : 29 ( 28 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-4 aty)
% Number of variables : 31 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(pickup_1,axiom,
ifeq(differ(X1,table),true,ifeq(holds(empty,X2),true,ifeq(holds(clear(X1),X2),true,holds(holding(X1),do(pickup(X1),X2)),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_1) ).
cnf(initial_state5,axiom,
holds(clear(a),s0) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state5) ).
cnf(differ_a_table,axiom,
differ(a,table) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_table) ).
cnf(initial_state8,axiom,
holds(empty,s0) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state8) ).
cnf(ifeq_axiom,axiom,
ifeq(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(pickup_4,axiom,
ifeq(differ(X1,X2),true,ifeq(holds(clear(X1),X3),true,holds(clear(X1),do(pickup(X2),X3)),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_4) ).
cnf(initial_state7,axiom,
holds(clear(c),s0) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state7) ).
cnf(symmetry_of_differ,axiom,
ifeq(differ(X1,X2),true,differ(X2,X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_differ) ).
cnf(differ_a_c,axiom,
differ(a,c) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_c) ).
cnf(putdown_2,axiom,
ifeq(holds(holding(X1),X2),true,ifeq(holds(clear(X3),X2),true,holds(on(X1,X3),do(putdown(X1,X3),X2)),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_2) ).
cnf(prove_AC,negated_conjecture,
holds(on(a,c),X1) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_AC) ).
cnf(c_0_11,axiom,
ifeq(differ(X1,table),true,ifeq(holds(empty,X2),true,ifeq(holds(clear(X1),X2),true,holds(holding(X1),do(pickup(X1),X2)),true),true),true) = true,
pickup_1 ).
cnf(c_0_12,axiom,
holds(clear(a),s0) = true,
initial_state5 ).
cnf(c_0_13,axiom,
differ(a,table) = true,
differ_a_table ).
cnf(c_0_14,axiom,
holds(empty,s0) = true,
initial_state8 ).
cnf(c_0_15,axiom,
ifeq(X1,X1,X2,X3) = X2,
ifeq_axiom ).
cnf(c_0_16,axiom,
ifeq(differ(X1,X2),true,ifeq(holds(clear(X1),X3),true,holds(clear(X1),do(pickup(X2),X3)),true),true) = true,
pickup_4 ).
cnf(c_0_17,axiom,
holds(clear(c),s0) = true,
initial_state7 ).
cnf(c_0_18,axiom,
ifeq(differ(X1,X2),true,differ(X2,X1),true) = true,
symmetry_of_differ ).
cnf(c_0_19,axiom,
differ(a,c) = true,
differ_a_c ).
cnf(c_0_20,axiom,
ifeq(holds(holding(X1),X2),true,ifeq(holds(clear(X3),X2),true,holds(on(X1,X3),do(putdown(X1,X3),X2)),true),true) = true,
putdown_2 ).
cnf(c_0_21,plain,
holds(holding(a),do(pickup(a),s0)) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_15]),c_0_15]) ).
cnf(c_0_22,plain,
ifeq(differ(c,X1),true,holds(clear(c),do(pickup(X1),s0)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_15]) ).
cnf(c_0_23,plain,
differ(c,a) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_15]) ).
cnf(c_0_24,negated_conjecture,
holds(on(a,c),X1) != true,
inference(fof_simplification,[status(thm)],[prove_AC]) ).
cnf(c_0_25,plain,
ifeq(holds(clear(X1),do(pickup(a),s0)),true,holds(on(a,X1),do(putdown(a,X1),do(pickup(a),s0))),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_15]) ).
cnf(c_0_26,plain,
holds(clear(c),do(pickup(a),s0)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_15]) ).
cnf(c_0_27,negated_conjecture,
holds(on(a,c),X1) != true,
c_0_24 ).
cnf(c_0_28,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_15]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PLA017-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.52 % Computer : n009.cluster.edu
% 0.11/0.52 % Model : x86_64 x86_64
% 0.11/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.52 % Memory : 8046.5625MB
% 0.11/0.52 % OS : Linux 6.8.0-71-generic
% 0.11/0.52 % CPULimit : 300
% 0.11/0.52 % WCLimit : 300
% 0.11/0.52 % DateTime : Mon Sep 21 03:32:28 UTC 2026
% 0.11/0.52 % CPUTime :
% 0.11/0.52 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.56 Running first-order theorem proving
% 0.11/0.56 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/benchmark/theBenchmark.p
% 0.15/0.76 % Version: 3.5.1
% 0.15/0.76 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.76 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.76 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.76 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.76 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.76 % Starting sh5l with 300s (1) cores
% 0.15/0.76 % new_bool_1 with pid 754645 completed with status 9
% 0.15/0.76 % new_bool_3 with pid 754644 completed with status 9
% 0.15/0.76 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 754643 completed with status 0
% 0.15/0.76 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.15/0.76 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.76 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.76 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.76 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.76 % No SInE strategy applied
% 0.15/0.76 % Search class: FUUPM-FFMM31-DFFFFFNN
% 0.15/0.76 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.76 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.76 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.15/0.76 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 254s (1) cores
% 0.15/0.76 % Starting new_bool_3 with 254s (1) cores
% 0.15/0.76 % Starting new_bool_1 with 254s (1) cores
% 0.15/0.76 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 754650 completed with status 0
% 0.15/0.76 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.76 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.76 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.76 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.76 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.76 % No SInE strategy applied
% 0.15/0.76 % Search class: FUUPM-FFMM31-DFFFFFNN
% 0.15/0.76 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.76 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.76 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.15/0.76 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 254s (1) cores
% 0.15/0.76 % Preprocessing time : 0.001 s
% 0.15/0.76 % Presaturation interreduction done
% 0.15/0.76
% 0.15/0.76 % Proof found!
% 0.15/0.76 % SZS status Unsatisfiable
% 0.15/0.76 % SZS output start CNFRefutation
% See solution above
% 0.15/0.76 % Parsed axioms : 32
% 0.15/0.76 % Removed by relevancy pruning/SinE : 0
% 0.15/0.76 % Initial clauses : 32
% 0.15/0.76 % Removed in clause preprocessing : 0
% 0.15/0.76 % Initial clauses in saturation : 32
% 0.15/0.76 % Processed clauses : 1348
% 0.15/0.76 % ...of these trivial : 33
% 0.15/0.76 % ...subsumed : 0
% 0.15/0.76 % ...remaining for further processing : 1315
% 0.15/0.76 % Other redundant clauses eliminated : 0
% 0.15/0.76 % Clauses deleted for lack of memory : 0
% 0.15/0.76 % Backward-subsumed : 0
% 0.15/0.76 % Backward-rewritten : 1
% 0.15/0.76 % Generated clauses : 23108
% 0.15/0.76 % ...of the previous two non-redundant : 20453
% 0.15/0.76 % ...aggressively subsumed : 0
% 0.15/0.76 % Contextual simplify-reflections : 0
% 0.15/0.76 % Paramodulations : 23108
% 0.15/0.76 % Factorizations : 0
% 0.15/0.76 % NegExts : 0
% 0.15/0.76 % Equation resolutions : 0
% 0.15/0.76 % Disequality decompositions : 0
% 0.15/0.76 % Total rewrite steps : 28397
% 0.15/0.76 % ...of those cached : 7856
% 0.15/0.76 % Propositional unsat checks : 0
% 0.15/0.76 % Propositional check models : 0
% 0.15/0.76 % Propositional check unsatisfiable : 0
% 0.15/0.76 % Propositional clauses : 0
% 0.15/0.76 % Propositional clauses after purity: 0
% 0.15/0.76 % Propositional unsat core size : 0
% 0.15/0.76 % Propositional preprocessing time : 0.000
% 0.15/0.76 % Propositional encoding time : 0.000
% 0.15/0.76 % Propositional solver time : 0.000
% 0.15/0.76 % Success case prop preproc time : 0.000
% 0.15/0.76 % Success case prop encoding time : 0.000
% 0.15/0.76 % Success case prop solver time : 0.000
% 0.15/0.76 % Current number of processed clauses : 1282
% 0.15/0.76 % Positive orientable unit clauses : 1281
% 0.15/0.76 % Positive unorientable unit clauses: 0
% 0.15/0.76 % Negative unit clauses : 1
% 0.15/0.76 % Non-unit-clauses : 0
% 0.15/0.76 % Current number of unprocessed clauses: 19168
% 0.15/0.76 % ...number of literals in the above : 19168
% 0.15/0.76 % Current number of archived formulas : 0
% 0.15/0.76 % Current number of archived clauses : 33
% 0.15/0.76 % Clause-clause subsumption calls (NU) : 0
% 0.15/0.76 % Rec. Clause-clause subsumption calls : 0
% 0.15/0.76 % Non-unit clause-clause subsumptions : 0
% 0.15/0.76 % Unit Clause-clause subsumption calls : 0
% 0.15/0.76 % Rewrite failures with RHS unbound : 0
% 0.15/0.76 % BW rewrite match attempts : 61595
% 0.15/0.76 % BW rewrite match successes : 1
% 0.15/0.76 % Condensation attempts : 0
% 0.15/0.76 % Condensation successes : 0
% 0.15/0.76 % Termbank termtop insertions : 441501
% 0.15/0.76 % Search garbage collected termcells : 2
% 0.15/0.76
% 0.15/0.76 % -------------------------------------------------
% 0.15/0.76 % User time : 0.162 s
% 0.15/0.76 % System time : 0.022 s
% 0.15/0.76 % Total time : 0.183 s
% 0.15/0.76 % Maximum resident set size: 3656 pages
% 0.15/0.76
% 0.15/0.76 % -------------------------------------------------
% 0.15/0.76 % User time : 0.870 s
% 0.15/0.76 % System time : 0.145 s
% 0.15/0.76 % Total time : 1.016 s
% 0.15/0.76 % Maximum resident set size: 4864 pages
% 0.15/0.76 % E exiting
%------------------------------------------------------------------------------