%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GEO080+1 : TPTP v9.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:05:31 AM UTC 2025
% Result : Theorem 0.11s 0.37s
% Output : Proof 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO080+1 : TPTP v9.0.0. Released v2.4.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n013.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu Jun 19 14:16:23 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.37 % SZS status Theorem
% 0.11/0.37 % SZS output start Proof
% 0.11/0.37 tff(part_of_type, type, (
% 0.11/0.37 part_of: ( $i * $i ) > $o)).
% 0.11/0.37 tff(tptp_fun_C_11_type, type, (
% 0.11/0.37 tptp_fun_C_11: $i)).
% 0.11/0.37 tff(incident_c_type, type, (
% 0.11/0.37 incident_c: ( $i * $i ) > $o)).
% 0.11/0.37 tff(tptp_fun_P_0_type, type, (
% 0.11/0.37 tptp_fun_P_0: ( $i * $i ) > $i)).
% 0.11/0.37 tff(1,plain,
% 0.11/0.37 ((~![C: $i] : part_of(C, C)) <=> (~![C: $i] : part_of(C, C))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(2,axiom,(~![C: $i] : part_of(C, C)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_reflexivity')).
% 0.11/0.37 tff(3,plain,
% 0.11/0.37 (~![C: $i] : part_of(C, C)),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.11/0.37 tff(4,plain,
% 0.11/0.37 (~![C: $i] : part_of(C, C)),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[3, 1])).
% 0.11/0.37 tff(5,plain,
% 0.11/0.37 (~![C: $i] : part_of(C, C)),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.11/0.37 tff(6,plain,
% 0.11/0.37 (~![C: $i] : part_of(C, C)),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.11/0.37 tff(7,plain,(
% 0.11/0.37 ~part_of(C!11, C!11)),
% 0.11/0.37 inference(skolemize,[status(sab)],[6])).
% 0.11/0.37 tff(8,plain,
% 0.11/0.37 (^[C: $i, C1: $i] : refl((~((~((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C)))) | (~(part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C))))))) <=> (~((~((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C)))) | (~(part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C))))))))),
% 0.11/0.37 inference(bind,[status(th)],[])).
% 0.11/0.37 tff(9,plain,
% 0.11/0.37 (![C: $i, C1: $i] : (~((~((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C)))) | (~(part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C))))))) <=> ![C: $i, C1: $i] : (~((~((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C)))) | (~(part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C)))))))),
% 0.11/0.37 inference(quant_intro,[status(thm)],[8])).
% 0.11/0.37 tff(10,plain,
% 0.11/0.37 (^[C: $i, C1: $i] : rewrite((~((~((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C)))) | (~(part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C))))))) <=> (~((~((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C)))) | (~(part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C))))))))),
% 0.11/0.37 inference(bind,[status(th)],[])).
% 0.11/0.37 tff(11,plain,
% 0.11/0.37 (![C: $i, C1: $i] : (~((~((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C)))) | (~(part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C))))))) <=> ![C: $i, C1: $i] : (~((~((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C)))) | (~(part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C)))))))),
% 0.11/0.37 inference(quant_intro,[status(thm)],[10])).
% 0.11/0.37 tff(12,plain,
% 0.11/0.37 (![C: $i, C1: $i] : (~((~((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C)))) | (~(part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C))))))) <=> ![C: $i, C1: $i] : (~((~((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C)))) | (~(part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C)))))))),
% 0.11/0.37 inference(transitivity,[status(thm)],[11, 9])).
% 0.11/0.37 tff(13,plain,
% 0.11/0.37 (^[C: $i, C1: $i] : trans(monotonicity(rewrite(((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C))) <=> ((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C)))), rewrite((part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C)))) <=> (part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C))))), ((((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C))) & (part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C))))) <=> (((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C))) & (part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C))))))), rewrite((((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C))) & (part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C))))) <=> (~((~((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C)))) | (~(part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C)))))))), ((((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C))) & (part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C))))) <=> (~((~((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C)))) | (~(part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C)))))))))),
% 0.11/0.37 inference(bind,[status(th)],[])).
% 0.11/0.37 tff(14,plain,
% 0.11/0.37 (![C: $i, C1: $i] : (((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C))) & (part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C))))) <=> ![C: $i, C1: $i] : (~((~((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C)))) | (~(part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C)))))))),
% 0.11/0.37 inference(quant_intro,[status(thm)],[13])).
% 0.11/0.37 tff(15,plain,
% 0.11/0.37 (![C: $i, C1: $i] : (part_of(C1, C) <=> ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C))) <=> ![C: $i, C1: $i] : (part_of(C1, C) <=> ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C)))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(16,plain,
% 0.11/0.37 (^[C: $i, C1: $i] : rewrite((part_of(C1, C) <=> ![P: $i] : (incident_c(P, C1) => incident_c(P, C))) <=> (part_of(C1, C) <=> ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C))))),
% 0.11/0.37 inference(bind,[status(th)],[])).
% 0.11/0.37 tff(17,plain,
% 0.11/0.37 (![C: $i, C1: $i] : (part_of(C1, C) <=> ![P: $i] : (incident_c(P, C1) => incident_c(P, C))) <=> ![C: $i, C1: $i] : (part_of(C1, C) <=> ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C)))),
% 0.11/0.37 inference(quant_intro,[status(thm)],[16])).
% 0.11/0.37 tff(18,axiom,(![C: $i, C1: $i] : (part_of(C1, C) <=> ![P: $i] : (incident_c(P, C1) => incident_c(P, C)))), file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax','part_of_defn')).
% 0.11/0.37 tff(19,plain,
% 0.11/0.37 (![C: $i, C1: $i] : (part_of(C1, C) <=> ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C)))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.11/0.37 tff(20,plain,
% 0.11/0.37 (![C: $i, C1: $i] : (part_of(C1, C) <=> ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C)))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[19, 15])).
% 0.11/0.37 tff(21,plain,(
% 0.11/0.37 ![C: $i, C1: $i] : (((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C))) & (part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C)))))),
% 0.11/0.37 inference(skolemize,[status(sab)],[20])).
% 0.11/0.37 tff(22,plain,
% 0.11/0.37 (![C: $i, C1: $i] : (~((~((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C)))) | (~(part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C)))))))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[21, 14])).
% 0.11/0.37 tff(23,plain,
% 0.11/0.37 (![C: $i, C1: $i] : (~((~((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C)))) | (~(part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C)))))))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[22, 12])).
% 0.11/0.37 tff(24,plain,
% 0.11/0.37 (((~![C: $i, C1: $i] : (~((~((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C)))) | (~(part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C)))))))) | part_of(C!11, C!11)) <=> ((~![C: $i, C1: $i] : (~((~((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C)))) | (~(part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C)))))))) | part_of(C!11, C!11))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(25,plain,
% 0.11/0.37 ((~(~part_of(C!11, C!11))) <=> part_of(C!11, C!11)),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(26,plain,
% 0.11/0.38 (($false | (~part_of(C!11, C!11))) <=> (~part_of(C!11, C!11))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(27,plain,
% 0.11/0.38 ((~(part_of(C!11, C!11) | (~((~incident_c(tptp_fun_P_0(C!11, C!11), C!11)) | incident_c(tptp_fun_P_0(C!11, C!11), C!11))))) <=> (~part_of(C!11, C!11))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(28,plain,
% 0.11/0.38 ((~$true) <=> $false),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(29,plain,
% 0.11/0.38 (((~part_of(C!11, C!11)) | $true) <=> $true),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(30,plain,
% 0.11/0.38 (![P: $i] : $true <=> $true),
% 0.11/0.38 inference(elim_unused_vars,[status(thm)],[])).
% 0.11/0.38 tff(31,plain,
% 0.11/0.38 (![P: $i] : $true <=> ![P: $i] : $true),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(32,plain,
% 0.11/0.38 (![P: $i] : $true <=> $true),
% 0.11/0.38 inference(transitivity,[status(thm)],[31, 30])).
% 0.11/0.38 tff(33,plain,
% 0.11/0.38 (^[P: $i] : rewrite(((~incident_c(P, C!11)) | incident_c(P, C!11)) <=> $true)),
% 0.11/0.38 inference(bind,[status(th)],[])).
% 0.11/0.38 tff(34,plain,
% 0.11/0.38 (![P: $i] : ((~incident_c(P, C!11)) | incident_c(P, C!11)) <=> ![P: $i] : $true),
% 0.11/0.38 inference(quant_intro,[status(thm)],[33])).
% 0.11/0.38 tff(35,plain,
% 0.11/0.38 (![P: $i] : ((~incident_c(P, C!11)) | incident_c(P, C!11)) <=> $true),
% 0.11/0.38 inference(transitivity,[status(thm)],[34, 32])).
% 0.11/0.38 tff(36,plain,
% 0.11/0.38 (((~part_of(C!11, C!11)) | ![P: $i] : ((~incident_c(P, C!11)) | incident_c(P, C!11))) <=> ((~part_of(C!11, C!11)) | $true)),
% 0.11/0.38 inference(monotonicity,[status(thm)],[35])).
% 0.11/0.38 tff(37,plain,
% 0.11/0.38 (((~part_of(C!11, C!11)) | ![P: $i] : ((~incident_c(P, C!11)) | incident_c(P, C!11))) <=> $true),
% 0.11/0.38 inference(transitivity,[status(thm)],[36, 29])).
% 0.11/0.38 tff(38,plain,
% 0.11/0.38 ((~((~part_of(C!11, C!11)) | ![P: $i] : ((~incident_c(P, C!11)) | incident_c(P, C!11)))) <=> (~$true)),
% 0.11/0.38 inference(monotonicity,[status(thm)],[37])).
% 0.11/0.38 tff(39,plain,
% 0.11/0.38 ((~((~part_of(C!11, C!11)) | ![P: $i] : ((~incident_c(P, C!11)) | incident_c(P, C!11)))) <=> $false),
% 0.11/0.38 inference(transitivity,[status(thm)],[38, 28])).
% 0.11/0.38 tff(40,plain,
% 0.11/0.38 (((~((~part_of(C!11, C!11)) | ![P: $i] : ((~incident_c(P, C!11)) | incident_c(P, C!11)))) | (~(part_of(C!11, C!11) | (~((~incident_c(tptp_fun_P_0(C!11, C!11), C!11)) | incident_c(tptp_fun_P_0(C!11, C!11), C!11)))))) <=> ($false | (~part_of(C!11, C!11)))),
% 0.11/0.38 inference(monotonicity,[status(thm)],[39, 27])).
% 0.11/0.38 tff(41,plain,
% 0.11/0.38 (((~((~part_of(C!11, C!11)) | ![P: $i] : ((~incident_c(P, C!11)) | incident_c(P, C!11)))) | (~(part_of(C!11, C!11) | (~((~incident_c(tptp_fun_P_0(C!11, C!11), C!11)) | incident_c(tptp_fun_P_0(C!11, C!11), C!11)))))) <=> (~part_of(C!11, C!11))),
% 0.11/0.38 inference(transitivity,[status(thm)],[40, 26])).
% 0.11/0.38 tff(42,plain,
% 0.11/0.38 ((~((~((~part_of(C!11, C!11)) | ![P: $i] : ((~incident_c(P, C!11)) | incident_c(P, C!11)))) | (~(part_of(C!11, C!11) | (~((~incident_c(tptp_fun_P_0(C!11, C!11), C!11)) | incident_c(tptp_fun_P_0(C!11, C!11), C!11))))))) <=> (~(~part_of(C!11, C!11)))),
% 0.11/0.38 inference(monotonicity,[status(thm)],[41])).
% 0.11/0.38 tff(43,plain,
% 0.11/0.38 ((~((~((~part_of(C!11, C!11)) | ![P: $i] : ((~incident_c(P, C!11)) | incident_c(P, C!11)))) | (~(part_of(C!11, C!11) | (~((~incident_c(tptp_fun_P_0(C!11, C!11), C!11)) | incident_c(tptp_fun_P_0(C!11, C!11), C!11))))))) <=> part_of(C!11, C!11)),
% 0.11/0.38 inference(transitivity,[status(thm)],[42, 25])).
% 0.11/0.38 tff(44,plain,
% 0.11/0.38 (((~![C: $i, C1: $i] : (~((~((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C)))) | (~(part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C)))))))) | (~((~((~part_of(C!11, C!11)) | ![P: $i] : ((~incident_c(P, C!11)) | incident_c(P, C!11)))) | (~(part_of(C!11, C!11) | (~((~incident_c(tptp_fun_P_0(C!11, C!11), C!11)) | incident_c(tptp_fun_P_0(C!11, C!11), C!11)))))))) <=> ((~![C: $i, C1: $i] : (~((~((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C)))) | (~(part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C)))))))) | part_of(C!11, C!11))),
% 0.11/0.38 inference(monotonicity,[status(thm)],[43])).
% 0.11/0.38 tff(45,plain,
% 0.11/0.38 (((~![C: $i, C1: $i] : (~((~((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C)))) | (~(part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C)))))))) | (~((~((~part_of(C!11, C!11)) | ![P: $i] : ((~incident_c(P, C!11)) | incident_c(P, C!11)))) | (~(part_of(C!11, C!11) | (~((~incident_c(tptp_fun_P_0(C!11, C!11), C!11)) | incident_c(tptp_fun_P_0(C!11, C!11), C!11)))))))) <=> ((~![C: $i, C1: $i] : (~((~((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C)))) | (~(part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C)))))))) | part_of(C!11, C!11))),
% 0.11/0.38 inference(transitivity,[status(thm)],[44, 24])).
% 0.11/0.38 tff(46,plain,
% 0.11/0.38 ((~![C: $i, C1: $i] : (~((~((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C)))) | (~(part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C)))))))) | (~((~((~part_of(C!11, C!11)) | ![P: $i] : ((~incident_c(P, C!11)) | incident_c(P, C!11)))) | (~(part_of(C!11, C!11) | (~((~incident_c(tptp_fun_P_0(C!11, C!11), C!11)) | incident_c(tptp_fun_P_0(C!11, C!11), C!11)))))))),
% 0.11/0.38 inference(quant_inst,[status(thm)],[])).
% 0.11/0.38 tff(47,plain,
% 0.11/0.38 ((~![C: $i, C1: $i] : (~((~((~part_of(C1, C)) | ![P: $i] : ((~incident_c(P, C1)) | incident_c(P, C)))) | (~(part_of(C1, C) | (~((~incident_c(tptp_fun_P_0(C1, C), C1)) | incident_c(tptp_fun_P_0(C1, C), C)))))))) | part_of(C!11, C!11)),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.11/0.38 tff(48,plain,
% 0.11/0.38 ($false),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[47, 23, 7])).
% 0.11/0.38 % SZS output end Proof
% 0.11/0.38 % E exiting
%------------------------------------------------------------------------------