0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : java -Xss128m -Xmx4g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar %s -t %d -p --atp cvc4=/export/starexec/sandbox/solver/bin/externals/cvc4 --atp e=/export/starexec/sandbox/solver/bin/externals/eprover --atp iprover=/export/starexec/sandbox/solver/bin/externals/iprover 0.03/0.27 % Computer : n176.star.cs.uiowa.edu 0.03/0.27 % Model : x86_64 x86_64 0.03/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.27 % Memory : 32218.625MB 0.03/0.27 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.27 % CPULimit : 300 0.03/0.27 % DateTime : Sat Jul 14 05:05:09 CDT 2018 0.03/0.27 % CPUTime : 9.12/3.67 % [INFO] Running in sequential loop mode. 9.85/3.88 % [CONFIG] Using configuration: timeout(300) with strategy 10.11/3.96 % [INFO] iprover registered as external prover. 10.11/3.97 % [INFO] e registered as external prover. 10.11/3.97 % [INFO] cvc4 registered as external prover. 10.11/3.97 % [INFO] Parsing finished. Scanning for conjecture ... 10.58/4.13 % [INFO] Found a conjecture and 2 axioms. Running axiom selection ... 10.96/4.20 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms). 10.96/4.22 % [INFO] Type checking passed. Searching for refutation ... 25.25/8.08 % [INFO] Killing All external provers ... 25.25/8.09 % Time passed: 7724ms 25.25/8.09 % Effective reasoning time: 4414ms 25.25/8.09 % Solved by strategy 25.25/8.09 % Axioms used in derivation (2): reflexivity, transitivity 25.25/8.09 % No. of inferences in proof: 8 25.25/8.09 % No. of processed clauses: 68 25.25/8.09 % No. of generated clauses: 409 25.25/8.09 % No. of forward subsumed clauses: 7 25.25/8.09 % No. of backward subsumed clauses: 1 25.25/8.09 % No. of ground rewrite rules in store: 5 25.25/8.09 % No. of non-ground rewrite rules in store: 1 25.25/8.09 % No. of positive (non-rewrite) units in store: 0 25.25/8.09 % No. of negative (non-rewrite) units in store: 0 25.25/8.09 % No. of choice functions detected: 0 25.25/8.09 % No. of choice instantiations: 0 25.25/8.10 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 7724 ms resp. 4414 ms w/o parsing 25.31/8.20 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 25.31/8.20 thf(r1_type, type, r1: ($i > ($i > $o))). 25.31/8.20 thf(p2_type, type, p2: ($i > $o)). 25.31/8.20 thf(p1_type, type, p1: ($i > $o)). 25.31/8.20 thf(p5_type, type, p5: ($i > $o)). 25.31/8.20 thf(p3_type, type, p3: ($i > $o)). 25.31/8.20 thf(p4_type, type, p4: ($i > $o)). 25.31/8.20 thf(1,conjecture,((~ (? [A:$i]: ~ (((! [B:$i]: (~ (r1 @ A @ B) | (p2 @ B)) | ~ (! [B:$i]: ((p2 @ B) | ~ (! [C:$i]: (~ (p2 @ C) | ! [D:$i]: (~ (r1 @ C @ D) | (p2 @ D)) | ~ (r1 @ B @ C))) | ~ (r1 @ A @ B)))) & ! [B:$i]: (~ (r1 @ A @ B) | (p1 @ B) | ! [C:$i]: (~ (! [D:$i]: (~ (p5 @ D) | ~ (r1 @ C @ D))) | ~ (r1 @ B @ C)))) | (~ (! [B:$i]: (~ (r1 @ A @ B) | ~ (! [C:$i]: (~ (r1 @ B @ C) | ~ (p5 @ C))))) & (! [B:$i]: ((p2 @ B) | ~ (r1 @ A @ B)) | ~ (! [B:$i]: ((p2 @ B) | ~ (! [C:$i]: (~ (r1 @ B @ C) | ! [D:$i]: ((p2 @ D) | ~ (r1 @ C @ D)) | ~ (p2 @ C))) | ~ (r1 @ A @ B))))) | ~ (! [B:$i]: (~ (! [C:$i]: (! [D:$i]: (~ (r1 @ C @ D) | (p1 @ D)) | ~ (p1 @ C) | ~ (r1 @ B @ C))) | (p1 @ B) | ~ (r1 @ A @ B))) | ~ ((~ (! [B:$i]: (~ (r1 @ A @ B) | ~ (! [C:$i]: (! [D:$i]: (((! [E:$i]: (! [F:$i]: (~ (! [G:$i]: (~ (r1 @ F @ G) | ~ (p2 @ G) | ! [H:$i]: ((p2 @ H) | ~ (r1 @ G @ H)))) | (p2 @ F) | ~ (r1 @ E @ F)) | ~ (r1 @ D @ E)) | ~ (! [E:$i]: ((p2 @ E) | ~ (! [F:$i]: (~ (r1 @ E @ F) | ! [G:$i]: (~ (r1 @ F @ G) | (p2 @ G)) | ~ (p2 @ F))) | ~ (r1 @ D @ E)))) & (~ (! [E:$i]: (~ (r1 @ D @ E) | ! [F:$i]: (~ (r1 @ E @ F) | (p2 @ F)) | ~ (p2 @ E))) | (p2 @ D))) | ~ (r1 @ C @ D)) | ~ (((p2 @ C) | ~ (! [D:$i]: (~ (r1 @ C @ D) | ! [E:$i]: ((p2 @ E) | ~ (r1 @ D @ E)) | ~ (p2 @ D)))) & (~ (! [D:$i]: (~ (r1 @ C @ D) | (p2 @ D) | ~ (! [E:$i]: (~ (p2 @ E) | ! [F:$i]: ((p2 @ F) | ~ (r1 @ E @ F)) | ~ (r1 @ D @ E))))) | ! [D:$i]: (~ (r1 @ C @ D) | ! [E:$i]: (~ (r1 @ D @ E) | (p2 @ E) | ~ (! [F:$i]: (~ (r1 @ E @ F) | ! [G:$i]: (~ (r1 @ F @ G) | (p2 @ G)) | ~ (p2 @ F))))))) | ~ (r1 @ B @ C))) | (((p2 @ B) | ~ (! [C:$i]: (~ (p2 @ C) | ! [D:$i]: ((p2 @ D) | ~ (r1 @ C @ D)) | ~ (r1 @ B @ C)))) & (~ (! [C:$i]: (~ (r1 @ B @ C) | ~ (! [D:$i]: (~ (r1 @ C @ D) | ! [E:$i]: ((p2 @ E) | ~ (r1 @ D @ E)) | ~ (p2 @ D))) | (p2 @ C))) | ! [C:$i]: (! [D:$i]: (~ (! [E:$i]: (~ (r1 @ D @ E) | ~ (p2 @ E) | ! [F:$i]: (~ (r1 @ E @ F) | (p2 @ F)))) | (p2 @ D) | ~ (r1 @ C @ D)) | ~ (r1 @ B @ C)))))) | (((p2 @ A) | ~ (! [B:$i]: (~ (p2 @ B) | ! [C:$i]: (~ (r1 @ B @ C) | (p2 @ C)) | ~ (r1 @ A @ B)))) & (~ (! [B:$i]: (~ (r1 @ A @ B) | (p2 @ B) | ~ (! [C:$i]: (~ (r1 @ B @ C) | ! [D:$i]: (~ (r1 @ C @ D) | (p2 @ D)) | ~ (p2 @ C))))) | ! [B:$i]: (! [C:$i]: (~ (r1 @ B @ C) | (p2 @ C) | ~ (! [D:$i]: (~ (p2 @ D) | ! [E:$i]: ((p2 @ E) | ~ (r1 @ D @ E)) | ~ (r1 @ C @ D)))) | ~ (r1 @ A @ B))))) & ((p1 @ A) | ~ (! [B:$i]: ((p3 @ B) | ! [C:$i]: (($false) | ~ (r1 @ B @ C)) | ~ (! [C:$i]: (! [D:$i]: (~ (r1 @ C @ D) | (p3 @ D) | ! [E:$i]: (($false) | ~ (r1 @ D @ E)) | (p1 @ D) | (p2 @ D)) | ~ ((p3 @ C) | (p1 @ C) | ! [D:$i]: (~ (r1 @ C @ D) | ($false)) | (p2 @ C)) | ~ (r1 @ B @ C))) | (p1 @ B) | (p2 @ B) | ~ (r1 @ A @ B))) | ! [B:$i]: (($false) | ~ (r1 @ A @ B)) | (p2 @ A) | (p3 @ A)) & ((p1 @ A) | ~ (! [B:$i]: (~ (r1 @ A @ B) | ! [C:$i]: (($false) | ~ (r1 @ B @ C)) | ~ (! [C:$i]: (~ (! [D:$i]: (~ (r1 @ C @ D) | ($false)) | (p1 @ C)) | ! [D:$i]: (! [E:$i]: (~ (r1 @ D @ E) | ($false)) | (p1 @ D) | ~ (r1 @ C @ D)) | ~ (r1 @ B @ C))) | (p1 @ B))) | ! [B:$i]: (~ (r1 @ A @ B) | ($false))) & ! [B:$i]: ((p2 @ B) | ~ (! [C:$i]: ((p2 @ C) | ~ (! [D:$i]: (! [E:$i]: ((p2 @ E) | ~ (r1 @ D @ E)) | ~ (p2 @ D) | ~ (r1 @ C @ D))) | ~ (r1 @ B @ C))) | ~ (r1 @ A @ B)) & ((p2 @ A) | (p1 @ A) | ! [B:$i]: (($false) | ~ (r1 @ A @ B)) | ~ (! [B:$i]: (~ (r1 @ A @ B) | (p2 @ B) | (p1 @ B) | ~ (! [C:$i]: (~ ((p2 @ C) | ! [D:$i]: (~ (r1 @ C @ D) | ($false)) | (p1 @ C)) | ! [D:$i]: (! [E:$i]: (($false) | ~ (r1 @ D @ E)) | (p1 @ D) | (p2 @ D) | ~ (r1 @ C @ D)) | ~ (r1 @ B @ C))) | ! [C:$i]: (~ (r1 @ B @ C) | ($false))))) & ((p3 @ A) | (p1 @ A) | ! [B:$i]: (($false) | ~ (r1 @ A @ B)) | ~ (! [B:$i]: (~ (r1 @ A @ B) | (p4 @ B) | ! [C:$i]: (($false) | ~ (r1 @ B @ C)) | ~ (! [C:$i]: (~ (r1 @ B @ C) | ! [D:$i]: (~ (r1 @ C @ D) | (p4 @ D) | (p3 @ D) | ! [E:$i]: (($false) | ~ (r1 @ D @ E)) | (p1 @ D) | (p2 @ D)) | ~ ((p3 @ C) | (p2 @ C) | ! [D:$i]: (($false) | ~ (r1 @ C @ D)) | (p1 @ C) | (p4 @ C)))) | (p1 @ B) | (p2 @ B) | (p3 @ B))) | (p2 @ A) | (p4 @ A))) | ! [B:$i]: (~ (r1 @ A @ B) | (p1 @ B)) | ~ (! [B:$i]: (~ (r1 @ A @ B) | (p3 @ B) | ~ (! [C:$i]: (~ (p3 @ C) | ! [D:$i]: (~ (r1 @ C @ D) | (p3 @ D)) | ~ (r1 @ B @ C))))) | ! [B:$i]: (~ (r1 @ A @ B) | (p3 @ B)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',main)). 25.31/8.20 thf(2,negated_conjecture,((~ (~ (? [A:$i]: ~ (((! [B:$i]: (~ (r1 @ A @ B) | (p2 @ B)) | ~ (! [B:$i]: ((p2 @ B) | ~ (! [C:$i]: (~ (p2 @ C) | ! [D:$i]: (~ (r1 @ C @ D) | (p2 @ D)) | ~ (r1 @ B @ C))) | ~ (r1 @ A @ B)))) & ! [B:$i]: (~ (r1 @ A @ B) | (p1 @ B) | ! [C:$i]: (~ (! [D:$i]: (~ (p5 @ D) | ~ (r1 @ C @ D))) | ~ (r1 @ B @ C)))) | (~ (! [B:$i]: (~ (r1 @ A @ B) | ~ (! [C:$i]: (~ (r1 @ B @ C) | ~ (p5 @ C))))) & (! [B:$i]: ((p2 @ B) | ~ (r1 @ A @ B)) | ~ (! [B:$i]: ((p2 @ B) | ~ (! [C:$i]: (~ (r1 @ B @ C) | ! [D:$i]: ((p2 @ D) | ~ (r1 @ C @ D)) | ~ (p2 @ C))) | ~ (r1 @ A @ B))))) | ~ (! [B:$i]: (~ (! [C:$i]: (! [D:$i]: (~ (r1 @ C @ D) | (p1 @ D)) | ~ (p1 @ C) | ~ (r1 @ B @ C))) | (p1 @ B) | ~ (r1 @ A @ B))) | ~ ((~ (! [B:$i]: (~ (r1 @ A @ B) | ~ (! [C:$i]: (! [D:$i]: (((! [E:$i]: (! [F:$i]: (~ (! [G:$i]: (~ (r1 @ F @ G) | ~ (p2 @ G) | ! [H:$i]: ((p2 @ H) | ~ (r1 @ G @ H)))) | (p2 @ F) | ~ (r1 @ E @ F)) | ~ (r1 @ D @ E)) | ~ (! [E:$i]: ((p2 @ E) | ~ (! [F:$i]: (~ (r1 @ E @ F) | ! [G:$i]: (~ (r1 @ F @ G) | (p2 @ G)) | ~ (p2 @ F))) | ~ (r1 @ D @ E)))) & (~ (! [E:$i]: (~ (r1 @ D @ E) | ! [F:$i]: (~ (r1 @ E @ F) | (p2 @ F)) | ~ (p2 @ E))) | (p2 @ D))) | ~ (r1 @ C @ D)) | ~ (((p2 @ C) | ~ (! [D:$i]: (~ (r1 @ C @ D) | ! [E:$i]: ((p2 @ E) | ~ (r1 @ D @ E)) | ~ (p2 @ D)))) & (~ (! [D:$i]: (~ (r1 @ C @ D) | (p2 @ D) | ~ (! [E:$i]: (~ (p2 @ E) | ! [F:$i]: ((p2 @ F) | ~ (r1 @ E @ F)) | ~ (r1 @ D @ E))))) | ! [D:$i]: (~ (r1 @ C @ D) | ! [E:$i]: (~ (r1 @ D @ E) | (p2 @ E) | ~ (! [F:$i]: (~ (r1 @ E @ F) | ! [G:$i]: (~ (r1 @ F @ G) | (p2 @ G)) | ~ (p2 @ F))))))) | ~ (r1 @ B @ C))) | (((p2 @ B) | ~ (! [C:$i]: (~ (p2 @ C) | ! [D:$i]: ((p2 @ D) | ~ (r1 @ C @ D)) | ~ (r1 @ B @ C)))) & (~ (! [C:$i]: (~ (r1 @ B @ C) | ~ (! [D:$i]: (~ (r1 @ C @ D) | ! [E:$i]: ((p2 @ E) | ~ (r1 @ D @ E)) | ~ (p2 @ D))) | (p2 @ C))) | ! [C:$i]: (! [D:$i]: (~ (! [E:$i]: (~ (r1 @ D @ E) | ~ (p2 @ E) | ! [F:$i]: (~ (r1 @ E @ F) | (p2 @ F)))) | (p2 @ D) | ~ (r1 @ C @ D)) | ~ (r1 @ B @ C)))))) | (((p2 @ A) | ~ (! [B:$i]: (~ (p2 @ B) | ! [C:$i]: (~ (r1 @ B @ C) | (p2 @ C)) | ~ (r1 @ A @ B)))) & (~ (! [B:$i]: (~ (r1 @ A @ B) | (p2 @ B) | ~ (! [C:$i]: (~ (r1 @ B @ C) | ! [D:$i]: (~ (r1 @ C @ D) | (p2 @ D)) | ~ (p2 @ C))))) | ! [B:$i]: (! [C:$i]: (~ (r1 @ B @ C) | (p2 @ C) | ~ (! [D:$i]: (~ (p2 @ D) | ! [E:$i]: ((p2 @ E) | ~ (r1 @ D @ E)) | ~ (r1 @ C @ D)))) | ~ (r1 @ A @ B))))) & ((p1 @ A) | ~ (! [B:$i]: ((p3 @ B) | ! [C:$i]: (($false) | ~ (r1 @ B @ C)) | ~ (! [C:$i]: (! [D:$i]: (~ (r1 @ C @ D) | (p3 @ D) | ! [E:$i]: (($false) | ~ (r1 @ D @ E)) | (p1 @ D) | (p2 @ D)) | ~ ((p3 @ C) | (p1 @ C) | ! [D:$i]: (~ (r1 @ C @ D) | ($false)) | (p2 @ C)) | ~ (r1 @ B @ C))) | (p1 @ B) | (p2 @ B) | ~ (r1 @ A @ B))) | ! [B:$i]: (($false) | ~ (r1 @ A @ B)) | (p2 @ A) | (p3 @ A)) & ((p1 @ A) | ~ (! [B:$i]: (~ (r1 @ A @ B) | ! [C:$i]: (($false) | ~ (r1 @ B @ C)) | ~ (! [C:$i]: (~ (! [D:$i]: (~ (r1 @ C @ D) | ($false)) | (p1 @ C)) | ! [D:$i]: (! [E:$i]: (~ (r1 @ D @ E) | ($false)) | (p1 @ D) | ~ (r1 @ C @ D)) | ~ (r1 @ B @ C))) | (p1 @ B))) | ! [B:$i]: (~ (r1 @ A @ B) | ($false))) & ! [B:$i]: ((p2 @ B) | ~ (! [C:$i]: ((p2 @ C) | ~ (! [D:$i]: (! [E:$i]: ((p2 @ E) | ~ (r1 @ D @ E)) | ~ (p2 @ D) | ~ (r1 @ C @ D))) | ~ (r1 @ B @ C))) | ~ (r1 @ A @ B)) & ((p2 @ A) | (p1 @ A) | ! [B:$i]: (($false) | ~ (r1 @ A @ B)) | ~ (! [B:$i]: (~ (r1 @ A @ B) | (p2 @ B) | (p1 @ B) | ~ (! [C:$i]: (~ ((p2 @ C) | ! [D:$i]: (~ (r1 @ C @ D) | ($false)) | (p1 @ C)) | ! [D:$i]: (! [E:$i]: (($false) | ~ (r1 @ D @ E)) | (p1 @ D) | (p2 @ D) | ~ (r1 @ C @ D)) | ~ (r1 @ B @ C))) | ! [C:$i]: (~ (r1 @ B @ C) | ($false))))) & ((p3 @ A) | (p1 @ A) | ! [B:$i]: (($false) | ~ (r1 @ A @ B)) | ~ (! [B:$i]: (~ (r1 @ A @ B) | (p4 @ B) | ! [C:$i]: (($false) | ~ (r1 @ B @ C)) | ~ (! [C:$i]: (~ (r1 @ B @ C) | ! [D:$i]: (~ (r1 @ C @ D) | (p4 @ D) | (p3 @ D) | ! [E:$i]: (($false) | ~ (r1 @ D @ E)) | (p1 @ D) | (p2 @ D)) | ~ ((p3 @ C) | (p2 @ C) | ! [D:$i]: (($false) | ~ (r1 @ C @ D)) | (p1 @ C) | (p4 @ C)))) | (p1 @ B) | (p2 @ B) | (p3 @ B))) | (p2 @ A) | (p4 @ A))) | ! [B:$i]: (~ (r1 @ A @ B) | (p1 @ B)) | ~ (! [B:$i]: (~ (r1 @ A @ B) | (p3 @ B) | ~ (! [C:$i]: (~ (p3 @ C) | ! [D:$i]: (~ (r1 @ C @ D) | (p3 @ D)) | ~ (r1 @ B @ C))))) | ! [B:$i]: (~ (r1 @ A @ B) | (p3 @ B))))))),inference(neg_conjecture,[status(cth)],[1])). 25.31/8.20 thf(5,plain,((~ (~ (? [A:$i]: ~ (((! [B:$i]: (~ (r1 @ A @ B) | (p2 @ B)) | ~ (! [B:$i]: ((p2 @ B) | ~ (! [C:$i]: (~ (p2 @ C) | ! [D:$i]: (~ (r1 @ C @ D) | (p2 @ D)) | ~ (r1 @ B @ C))) | ~ (r1 @ A @ B)))) & ! [B:$i]: (~ (r1 @ A @ B) | (p1 @ B) | ! [C:$i]: (~ (! [D:$i]: (~ (p5 @ D) | ~ (r1 @ C @ D))) | ~ (r1 @ B @ C)))) | (~ (! [B:$i]: (~ (r1 @ A @ B) | ~ (! [C:$i]: (~ (r1 @ B @ C) | ~ (p5 @ C))))) & (! [B:$i]: ((p2 @ B) | ~ (r1 @ A @ B)) | ~ (! [B:$i]: ((p2 @ B) | ~ (! [C:$i]: (~ (r1 @ B @ C) | ! [D:$i]: ((p2 @ D) | ~ (r1 @ C @ D)) | ~ (p2 @ C))) | ~ (r1 @ A @ B))))) | ~ (! [B:$i]: (~ (! [C:$i]: (! [D:$i]: (~ (r1 @ C @ D) | (p1 @ D)) | ~ (p1 @ C) | ~ (r1 @ B @ C))) | (p1 @ B) | ~ (r1 @ A @ B))) | ~ ((~ (! [B:$i]: (~ (r1 @ A @ B) | ~ (! [C:$i]: (! [D:$i]: (((! [E:$i]: (! [F:$i]: (~ (! [G:$i]: (~ (r1 @ F @ G) | ~ (p2 @ G) | ! [H:$i]: ((p2 @ H) | ~ (r1 @ G @ H)))) | (p2 @ F) | ~ (r1 @ E @ F)) | ~ (r1 @ D @ E)) | ~ (! [E:$i]: ((p2 @ E) | ~ (! [F:$i]: (~ (r1 @ E @ F) | ! [G:$i]: (~ (r1 @ F @ G) | (p2 @ G)) | ~ (p2 @ F))) | ~ (r1 @ D @ E)))) & (~ (! [E:$i]: (~ (r1 @ D @ E) | ! [F:$i]: (~ (r1 @ E @ F) | (p2 @ F)) | ~ (p2 @ E))) | (p2 @ D))) | ~ (r1 @ C @ D)) | ~ (((p2 @ C) | ~ (! [D:$i]: (~ (r1 @ C @ D) | ! [E:$i]: ((p2 @ E) | ~ (r1 @ D @ E)) | ~ (p2 @ D)))) & (~ (! [D:$i]: (~ (r1 @ C @ D) | (p2 @ D) | ~ (! [E:$i]: (~ (p2 @ E) | ! [F:$i]: ((p2 @ F) | ~ (r1 @ E @ F)) | ~ (r1 @ D @ E))))) | ! [D:$i]: (~ (r1 @ C @ D) | ! [E:$i]: (~ (r1 @ D @ E) | (p2 @ E) | ~ (! [F:$i]: (~ (r1 @ E @ F) | ! [G:$i]: (~ (r1 @ F @ G) | (p2 @ G)) | ~ (p2 @ F))))))) | ~ (r1 @ B @ C))) | (((p2 @ B) | ~ (! [C:$i]: (~ (p2 @ C) | ! [D:$i]: ((p2 @ D) | ~ (r1 @ C @ D)) | ~ (r1 @ B @ C)))) & (~ (! [C:$i]: (~ (r1 @ B @ C) | ~ (! [D:$i]: (~ (r1 @ C @ D) | ! [E:$i]: ((p2 @ E) | ~ (r1 @ D @ E)) | ~ (p2 @ D))) | (p2 @ C))) | ! [C:$i]: (! [D:$i]: (~ (! [E:$i]: (~ (r1 @ D @ E) | ~ (p2 @ E) | ! [F:$i]: (~ (r1 @ E @ F) | (p2 @ F)))) | (p2 @ D) | ~ (r1 @ C @ D)) | ~ (r1 @ B @ C)))))) | (((p2 @ A) | ~ (! [B:$i]: (~ (p2 @ B) | ! [C:$i]: (~ (r1 @ B @ C) | (p2 @ C)) | ~ (r1 @ A @ B)))) & (~ (! [B:$i]: (~ (r1 @ A @ B) | (p2 @ B) | ~ (! [C:$i]: (~ (r1 @ B @ C) | ! [D:$i]: (~ (r1 @ C @ D) | (p2 @ D)) | ~ (p2 @ C))))) | ! [B:$i]: (! [C:$i]: (~ (r1 @ B @ C) | (p2 @ C) | ~ (! [D:$i]: (~ (p2 @ D) | ! [E:$i]: ((p2 @ E) | ~ (r1 @ D @ E)) | ~ (r1 @ C @ D)))) | ~ (r1 @ A @ B))))) & ((p1 @ A) | ~ (! [B:$i]: ((p3 @ B) | ! [C:$i]: ~ (r1 @ B @ C) | ~ (! [C:$i]: (! [D:$i]: (~ (r1 @ C @ D) | (p3 @ D) | ! [E:$i]: ~ (r1 @ D @ E) | (p1 @ D) | (p2 @ D)) | ~ ((p3 @ C) | (p1 @ C) | ! [D:$i]: ~ (r1 @ C @ D) | (p2 @ C)) | ~ (r1 @ B @ C))) | (p1 @ B) | (p2 @ B) | ~ (r1 @ A @ B))) | ! [B:$i]: ~ (r1 @ A @ B) | (p2 @ A) | (p3 @ A)) & ((p1 @ A) | ~ (! [B:$i]: (~ (r1 @ A @ B) | ! [C:$i]: ~ (r1 @ B @ C) | ~ (! [C:$i]: (~ (! [D:$i]: ~ (r1 @ C @ D) | (p1 @ C)) | ! [D:$i]: (! [E:$i]: ~ (r1 @ D @ E) | (p1 @ D) | ~ (r1 @ C @ D)) | ~ (r1 @ B @ C))) | (p1 @ B))) | ! [B:$i]: ~ (r1 @ A @ B)) & ! [B:$i]: ((p2 @ B) | ~ (! [C:$i]: ((p2 @ C) | ~ (! [D:$i]: (! [E:$i]: ((p2 @ E) | ~ (r1 @ D @ E)) | ~ (p2 @ D) | ~ (r1 @ C @ D))) | ~ (r1 @ B @ C))) | ~ (r1 @ A @ B)) & ((p2 @ A) | (p1 @ A) | ! [B:$i]: ~ (r1 @ A @ B) | ~ (! [B:$i]: (~ (r1 @ A @ B) | (p2 @ B) | (p1 @ B) | ~ (! [C:$i]: (~ ((p2 @ C) | ! [D:$i]: ~ (r1 @ C @ D) | (p1 @ C)) | ! [D:$i]: (! [E:$i]: ~ (r1 @ D @ E) | (p1 @ D) | (p2 @ D) | ~ (r1 @ C @ D)) | ~ (r1 @ B @ C))) | ! [C:$i]: ~ (r1 @ B @ C)))) & ((p3 @ A) | (p1 @ A) | ! [B:$i]: ~ (r1 @ A @ B) | ~ (! [B:$i]: (~ (r1 @ A @ B) | (p4 @ B) | ! [C:$i]: ~ (r1 @ B @ C) | ~ (! [C:$i]: (~ (r1 @ B @ C) | ! [D:$i]: (~ (r1 @ C @ D) | (p4 @ D) | (p3 @ D) | ! [E:$i]: ~ (r1 @ D @ E) | (p1 @ D) | (p2 @ D)) | ~ ((p3 @ C) | (p2 @ C) | ! [D:$i]: ~ (r1 @ C @ D) | (p1 @ C) | (p4 @ C)))) | (p1 @ B) | (p2 @ B) | (p3 @ B))) | (p2 @ A) | (p4 @ A))) | ! [B:$i]: (~ (r1 @ A @ B) | (p1 @ B)) | ~ (! [B:$i]: (~ (r1 @ A @ B) | (p3 @ B) | ~ (! [C:$i]: (~ (p3 @ C) | ! [D:$i]: (~ (r1 @ C @ D) | (p3 @ D)) | ~ (r1 @ B @ C))))) | ! [B:$i]: (~ (r1 @ A @ B) | (p3 @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 25.31/8.20 thf(3,axiom,((! [A:$i]: (r1 @ A @ A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity)). 25.31/8.20 thf(198,plain,((! [A:$i]: (r1 @ A @ A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])). 25.31/8.20 thf(4,axiom,((! [A:$i,B:$i,C:$i]: (((r1 @ A @ B) & (r1 @ B @ C)) => (r1 @ A @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity)). 25.31/8.20 thf(200,plain,((! [A:$i,B:$i,C:$i]: (((r1 @ A @ B) & (r1 @ B @ C)) => (r1 @ A @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])). 25.31/8.20 thf(1312,plain,($false),inference(iprover,[status(thm)],[5,198,200])). 25.31/8.20 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 25.31/8.20 % [INFO] Killing All external provers ... 25.42/8.23 EOF