%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU499^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 : Wed Sep 30 08:26:29 AM UTC 2026
% Result : Theorem 0.08s 0.26s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU499^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n006.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 13:46:09 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.o3TD5b0jvA/E---3.1_737699.p
% 0.08/0.26 % Version: 3.5.1-ho
% 0.08/0.26 % partial match(1): HSMSSLSSMLLCHSA
% 0.08/0.26 % Preprocessing class: HSMSSLSSMLMCHSA.
% 0.08/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.26 % Starting new_ho_10 with 1500s (5) cores
% 0.08/0.26 % Starting sh5l with 300s (1) cores
% 0.08/0.26 % Starting new_bool_1 with 300s (1) cores
% 0.08/0.26 % Starting new_bool_2 with 300s (1) cores
% 0.08/0.26 % new_bool_2 with pid 737732 completed with status 0
% 0.08/0.26 % Result found by new_bool_2
% 0.08/0.26 % partial match(1): HSMSSLSSMLLCHSA
% 0.08/0.26 % Preprocessing class: HSMSSLSSMLMCHSA.
% 0.08/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.26 % Starting new_ho_10 with 1500s (5) cores
% 0.08/0.26 % Starting sh5l with 300s (1) cores
% 0.08/0.26 % Starting new_bool_1 with 300s (1) cores
% 0.08/0.26 % Starting new_bool_2 with 300s (1) cores
% 0.08/0.26 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.08/0.26 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.08/0.26 % Search class: HGHSF-FFMM31-SHSSMSBN
% 0.08/0.26 % partial match(1): HGHSM-FFMM31-SHSSMSBN
% 0.08/0.26 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.26 % Starting SubtermCWHack with 31s (1) cores
% 0.08/0.26 % SubtermCWHack with pid 737733 completed with status 0
% 0.08/0.26 % Result found by SubtermCWHack
% 0.08/0.26 % partial match(1): HSMSSLSSMLLCHSA
% 0.08/0.26 % Preprocessing class: HSMSSLSSMLMCHSA.
% 0.08/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.26 % Starting new_ho_10 with 1500s (5) cores
% 0.08/0.26 % Starting sh5l with 300s (1) cores
% 0.08/0.26 % Starting new_bool_1 with 300s (1) cores
% 0.08/0.26 % Starting new_bool_2 with 300s (1) cores
% 0.08/0.26 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.08/0.26 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.08/0.26 % Search class: HGHSF-FFMM31-SHSSMSBN
% 0.08/0.26 % partial match(1): HGHSM-FFMM31-SHSSMSBN
% 0.08/0.26 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.26 % Starting SubtermCWHack with 31s (1) cores
% 0.08/0.26 % Preprocessing time : 0.001 s
% 0.08/0.26
% 0.08/0.26 % Proof found!
% 0.08/0.26 % SZS status Theorem
% 0.08/0.26 % SZS output start CNFRefutation
% 0.08/0.26 thf(decl_23, type, in: $i > $i > $o).
% 0.08/0.26 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.08/0.26 thf(decl_25, type, setextAx: $o).
% 0.08/0.26 thf(decl_26, type, emptyset: $i).
% 0.08/0.26 thf(decl_27, type, emptysetAx: $o).
% 0.08/0.26 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.08/0.26 thf(decl_29, type, setadjoinAx: $o).
% 0.08/0.26 thf(decl_31, type, powersetAx: $o).
% 0.08/0.26 thf(decl_33, type, setunionAx: $o).
% 0.08/0.26 thf(decl_34, type, omega: $i).
% 0.08/0.26 thf(decl_35, type, omega0Ax: $o).
% 0.08/0.26 thf(decl_36, type, omegaSAx: $o).
% 0.08/0.26 thf(decl_37, type, omegaIndAx: $o).
% 0.08/0.26 thf(decl_38, type, replAx: $o).
% 0.08/0.26 thf(decl_39, type, foundationAx: $o).
% 0.08/0.26 thf(decl_40, type, wellorderingAx: $o).
% 0.08/0.26 thf(decl_42, type, descrp: $o).
% 0.08/0.26 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.08/0.26 thf(decl_44, type, dsetconstrI: $o).
% 0.08/0.26 thf(decl_45, type, dsetconstrEL: $o).
% 0.08/0.26 thf(decl_46, type, dsetconstrER: $o).
% 0.08/0.26 thf(decl_47, type, epred1_0: $o).
% 0.08/0.26 thf(decl_48, type, esk1_2: $i > $i > $i).
% 0.08/0.26 thf(decl_49, type, esk2_1: $i > $i).
% 0.08/0.26 thf(decl_50, type, esk3_2: ($i > $i > $o) > $i > $i).
% 0.08/0.26 thf(decl_51, type, esk4_3: ($i > $i > $o) > $i > $i > $i).
% 0.08/0.26 thf(decl_52, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.08/0.26 thf(decl_53, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 0.08/0.26 thf(decl_54, type, esk7_1: $i > $i).
% 0.08/0.26 thf(decl_55, type, epred2_0: $i > $o).
% 0.08/0.26 thf(decl_56, type, esk8_0: $i).
% 0.08/0.26 thf(decl_57, type, esk9_1: $i > $i).
% 0.08/0.26 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.o3TD5b0jvA/E---3.1_737699.p', replAx)).
% 0.08/0.26 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.o3TD5b0jvA/E---3.1_737699.p', exu)).
% 0.08/0.26 thf(exuE1, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.o3TD5b0jvA/E---3.1_737699.p', exuE1)).
% 0.08/0.26 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.o3TD5b0jvA/E---3.1_737699.p', dsetconstrI)).
% 0.08/0.26 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.o3TD5b0jvA/E---3.1_737699.p', dsetconstrEL)).
% 0.08/0.26 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.o3TD5b0jvA/E---3.1_737699.p', dsetconstrER)).
% 0.08/0.26 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.o3TD5b0jvA/E---3.1_737699.p', setextAx)).
% 0.08/0.26 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.o3TD5b0jvA/E---3.1_737699.p', emptysetAx)).
% 0.08/0.26 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.o3TD5b0jvA/E---3.1_737699.p', setadjoinAx)).
% 0.08/0.26 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.o3TD5b0jvA/E---3.1_737699.p', omega0Ax)).
% 0.08/0.26 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.o3TD5b0jvA/E---3.1_737699.p', omegaSAx)).
% 0.08/0.26 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.o3TD5b0jvA/E---3.1_737699.p', omegaIndAx)).
% 0.08/0.26 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.o3TD5b0jvA/E---3.1_737699.p', foundationAx)).
% 0.08/0.26 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.o3TD5b0jvA/E---3.1_737699.p', wellorderingAx)).
% 0.08/0.26 thf(c_0_14, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.08/0.26 thf(c_0_15, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.08/0.26 thf(c_0_16, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))))))))))))))))), inference(assume_negation,[status(cth)],[exuE1])).
% 0.08/0.26 thf(c_0_17, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X62:$i]:(((((X6 @ X2 @ X62)))&(![X63:$i]:(((((X6 @ X2 @ X63)))=>(((X62)=(X63)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_14, c_0_15])).
% 0.08/0.26 thf(c_0_18, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.08/0.26 thf(c_0_19, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.08/0.26 thf(c_0_20, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.08/0.26 thf(c_0_21, plain, ((epred1_0)<=>![X87:$i]:(?[X88:$i]:((((![X89:$i]:(((in @ X89 @ X88)=>![X90:$i]:(((in @ X90 @ X89)=>(in @ X90 @ X87)))))&![X91:$i, X92:$i]:((((in @ X91 @ X87)&(in @ X92 @ X87))=>(![X93:$i]:(((in @ X93 @ X88)=>((in @ X91 @ X93)<=>(in @ X92 @ X93))))=>((X91)=(X92))))))&![X94:$i, X95:$i]:((((in @ X94 @ X88)&(in @ X95 @ X88))=>(![X96:$i]:(((in @ X96 @ X94)=>(in @ X96 @ X95)))|![X97:$i]:(((in @ X97 @ X95)=>(in @ X97 @ X94)))))))&![X98:$i]:(((![X99:$i]:(((in @ X99 @ X98)=>(in @ X99 @ X87)))&?[X100:$i]:((in @ X100 @ X98)))=>?[X101:$i, X102:$i]:(((((in @ X101 @ X88)&(in @ X102 @ X98))&~(?[X103:$i]:(((in @ X103 @ X101)&(in @ X103 @ X98)))))&![X104:$i]:(((in @ X104 @ X88)=>(![X105:$i]:(((in @ X105 @ X104)=>(in @ X105 @ X101)))|(in @ X102 @ X104)))))))))))), introduced(definition)).
% 0.08/0.26 thf(c_0_22, negated_conjecture, ~((![X64:$i, X65:$i]:((![X66:$i]:(((in @ X66 @ X64)<=>(in @ X66 @ X65)))=>((X64)=(X65))))=>(![X67:$i]:(~(in @ X67 @ emptyset))=>(![X68:$i, X69:$i, X70:$i]:(((in @ X70 @ (setadjoin @ X68 @ X69))<=>(((X70)=(X68))|(in @ X70 @ X69))))=>((powersetAx)=>((setunionAx)=>((in @ emptyset @ omega)=>(![X71:$i]:(((in @ X71 @ omega)=>(in @ (setadjoin @ X71 @ X71) @ omega)))=>(![X72:$i]:((((in @ emptyset @ X72)&![X73:$i]:((((in @ X73 @ omega)&(in @ X73 @ X72))=>(in @ (setadjoin @ X73 @ X73) @ X72))))=>![X74:$i]:(((in @ X74 @ omega)=>(in @ X74 @ X72)))))=>(![X75:$i > $i > $o, X76:$i]:((![X77:$i]:(((in @ X77 @ X76)=>?[X78:$i]:(((X75 @ X77 @ X78)&![X79:$i]:(((X75 @ X77 @ X79)=>((X78)=(X79))))))))=>?[X80:$i]:(![X81:$i]:(((in @ X81 @ X80)<=>?[X82:$i]:(((in @ X82 @ X76)&(X75 @ X82 @ X81))))))))=>(![X83:$i]:((?[X84:$i]:((in @ X84 @ X83))=>?[X85:$i]:(((in @ X85 @ X83)&~(?[X86:$i]:(((in @ X86 @ X85)&(in @ X86 @ X83))))))))=>((epred1_0)=>((descrp)=>(![X106:$i, X107:$i > $o, X108:$i]:(((in @ X108 @ X106)=>((X107 @ X108)=>(in @ X108 @ (dsetconstr @ X106 @ (^[Z0:$i]:((X107 @ Z0))))))))=>(![X109:$i, X110:$i > $o, X111:$i]:(((in @ X111 @ (dsetconstr @ X109 @ (^[Z0:$i]:((X110 @ Z0)))))=>(in @ X111 @ X109)))=>(![X112:$i, X113:$i > $o, X114:$i]:(((in @ X114 @ (dsetconstr @ X112 @ (^[Z0:$i]:((X113 @ Z0)))))=>(X113 @ X114)))=>![X1:$i > $o]:((?[X115:$i]:(((X1 @ X115)&![X116:$i]:(((X1 @ X116)=>((X115)=(X116))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_16]), setextAx]), emptysetAx]), setadjoinAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_17]), foundationAx]), wellorderingAx]), c_0_18]), c_0_19]), c_0_20]), c_0_15])]), c_0_21])).
% 0.08/0.26 thf(c_0_23, negated_conjecture, ![X117:$i, X118:$i, X120:$i, X121:$i, X122:$i, X123:$i, X124:$i, X125:$i, X127:$i, X128:$i > $i > $o, X129:$i, X131:$i, X134:$i, X136:$i, X137:$i, X138:$i, X139:$i, X141:$i, X142:$i, X143:$i > $o, X144:$i, X145:$i, X146:$i > $o, X147:$i, X148:$i, X149:$i > $o, X150:$i, X153:$i, X154:$i]:((((~(in @ (esk1_2 @ X117 @ X118) @ X117)|~(in @ (esk1_2 @ X117 @ X118) @ X118)|((X117)=(X118)))&((in @ (esk1_2 @ X117 @ X118) @ X117)|(in @ (esk1_2 @ X117 @ X118) @ X118)|((X117)=(X118))))&(~(in @ X120 @ emptyset)&(((~(in @ X123 @ (setadjoin @ X121 @ X122))|(((X123)=(X121))|(in @ X123 @ X122)))&((((X123)!=(X121))|(in @ X123 @ (setadjoin @ X121 @ X122)))&(~(in @ X123 @ X122)|(in @ X123 @ (setadjoin @ X121 @ X122)))))&((powersetAx)&((setunionAx)&((in @ emptyset @ omega)&((~(in @ X124 @ omega)|(in @ (setadjoin @ X124 @ X124) @ omega))&(((((in @ (esk2_1 @ X125) @ omega)|~(in @ emptyset @ X125)|(~(in @ X127 @ omega)|(in @ X127 @ X125)))&((in @ (esk2_1 @ X125) @ X125)|~(in @ emptyset @ X125)|(~(in @ X127 @ omega)|(in @ X127 @ X125))))&(~(in @ (setadjoin @ (esk2_1 @ X125) @ (esk2_1 @ X125)) @ X125)|~(in @ emptyset @ X125)|(~(in @ X127 @ omega)|(in @ X127 @ X125))))&((((((in @ (esk6_3 @ X128 @ X129 @ X134) @ X129)|~(in @ X134 @ (esk5_2 @ X128 @ X129))|(in @ (esk3_2 @ X128 @ X129) @ X129))&((X128 @ (esk6_3 @ X128 @ X129 @ X134) @ X134)|~(in @ X134 @ (esk5_2 @ X128 @ X129))|(in @ (esk3_2 @ X128 @ X129) @ X129)))&(~(in @ X137 @ X129)|~(X128 @ X137 @ X136)|(in @ X136 @ (esk5_2 @ X128 @ X129))|(in @ (esk3_2 @ X128 @ X129) @ X129)))&(((((in @ (esk6_3 @ X128 @ X129 @ X134) @ X129)|~(in @ X134 @ (esk5_2 @ X128 @ X129))|((X128 @ (esk3_2 @ X128 @ X129) @ (esk4_3 @ X128 @ X129 @ X131))|~(X128 @ (esk3_2 @ X128 @ X129) @ X131)))&((X128 @ (esk6_3 @ X128 @ X129 @ X134) @ X134)|~(in @ X134 @ (esk5_2 @ X128 @ X129))|((X128 @ (esk3_2 @ X128 @ X129) @ (esk4_3 @ X128 @ X129 @ X131))|~(X128 @ (esk3_2 @ X128 @ X129) @ X131))))&(~(in @ X137 @ X129)|~(X128 @ X137 @ X136)|(in @ X136 @ (esk5_2 @ X128 @ X129))|((X128 @ (esk3_2 @ X128 @ X129) @ (esk4_3 @ X128 @ X129 @ X131))|~(X128 @ (esk3_2 @ X128 @ X129) @ X131))))&((((in @ (esk6_3 @ X128 @ X129 @ X134) @ X129)|~(in @ X134 @ (esk5_2 @ X128 @ X129))|(((X131)!=(esk4_3 @ X128 @ X129 @ X131))|~(X128 @ (esk3_2 @ X128 @ X129) @ X131)))&((X128 @ (esk6_3 @ X128 @ X129 @ X134) @ X134)|~(in @ X134 @ (esk5_2 @ X128 @ X129))|(((X131)!=(esk4_3 @ X128 @ X129 @ X131))|~(X128 @ (esk3_2 @ X128 @ X129) @ X131))))&(~(in @ X137 @ X129)|~(X128 @ X137 @ X136)|(in @ X136 @ (esk5_2 @ X128 @ X129))|(((X131)!=(esk4_3 @ X128 @ X129 @ X131))|~(X128 @ (esk3_2 @ X128 @ X129) @ X131))))))&((((in @ (esk7_1 @ X138) @ X138)|~(in @ X139 @ X138))&(~(in @ X141 @ (esk7_1 @ X138))|~(in @ X141 @ X138)|~(in @ X139 @ X138)))&((epred1_0)&((descrp)&((~(in @ X144 @ X142)|(~(X143 @ X144)|(in @ X144 @ (dsetconstr @ X142 @ (^[Z0:$i]:((X143 @ Z0)))))))&((~(in @ X147 @ (dsetconstr @ X145 @ (^[Z0:$i]:((X146 @ Z0)))))|(in @ X147 @ X145))&((~(in @ X150 @ (dsetconstr @ X148 @ (^[Z0:$i]:((X149 @ Z0)))))|(X149 @ X150))&(((epred2_0 @ esk8_0)&(~(epred2_0 @ X153)|((esk8_0)=(X153))))&(((epred2_0 @ (esk9_1 @ X154))|~(epred2_0 @ X154))&(((X154)!=(esk9_1 @ X154))|~(epred2_0 @ X154)))))))))))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])])])])).
% 0.08/0.26 thf(c_0_24, negated_conjecture, ![X2:$i]:((((esk8_0)=(X2))|~((epred2_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_23])).
% 0.08/0.26 thf(c_0_25, negated_conjecture, ![X2:$i]:(((epred2_0 @ (esk9_1 @ X2))|~((epred2_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_23])).
% 0.08/0.26 thf(c_0_26, negated_conjecture, ![X2:$i]:((((X2)!=(esk9_1 @ X2))|~((epred2_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_23])).
% 0.08/0.26 thf(c_0_27, negated_conjecture, ![X2:$i]:((((esk9_1 @ X2)=(esk8_0))|~((epred2_0 @ X2)))), inference(spm,[status(thm)],[c_0_24, c_0_25])).
% 0.08/0.26 thf(c_0_28, negated_conjecture, (epred2_0 @ esk8_0), inference(split_conjunct,[status(thm)],[c_0_23])).
% 0.08/0.26 thf(c_0_29, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27])]), c_0_28])]), ['proof']).
% 0.08/0.26 % SZS output end CNFRefutation
% 0.08/0.26 % Parsed axioms : 41
% 0.08/0.26 % Removed by relevancy pruning/SinE : 27
% 0.08/0.26 % Initial clauses : 46
% 0.08/0.26 % Removed in clause preprocessing : 0
% 0.08/0.26 % Initial clauses in saturation : 46
% 0.08/0.26 % Processed clauses : 13
% 0.08/0.26 % ...of these trivial : 0
% 0.08/0.26 % ...subsumed : 0
% 0.08/0.26 % ...remaining for further processing : 13
% 0.08/0.26 % Other redundant clauses eliminated : 1
% 0.08/0.26 % Clauses deleted for lack of memory : 0
% 0.08/0.26 % Backward-subsumed : 0
% 0.08/0.26 % Backward-rewritten : 0
% 0.08/0.26 % Generated clauses : 6
% 0.08/0.26 % ...of the previous two non-redundant : 2
% 0.08/0.26 % ...aggressively subsumed : 0
% 0.08/0.26 % Contextual simplify-reflections : 0
% 0.08/0.26 % Paramodulations : 5
% 0.08/0.26 % Factorizations : 0
% 0.08/0.26 % NegExts : 0
% 0.08/0.26 % Equation resolutions : 1
% 0.08/0.26 % Disequality decompositions : 0
% 0.08/0.26 % Total rewrite steps : 3
% 0.08/0.26 % ...of those cached : 1
% 0.08/0.26 % Propositional unsat checks : 0
% 0.08/0.26 % Propositional check models : 0
% 0.08/0.26 % Propositional check unsatisfiable : 0
% 0.08/0.26 % Propositional clauses : 0
% 0.08/0.26 % Propositional clauses after purity: 0
% 0.08/0.26 % Propositional unsat core size : 0
% 0.08/0.26 % Propositional preprocessing time : 0.000
% 0.08/0.26 % Propositional encoding time : 0.000
% 0.08/0.26 % Propositional solver time : 0.000
% 0.08/0.26 % Success case prop preproc time : 0.000
% 0.08/0.26 % Success case prop encoding time : 0.000
% 0.08/0.26 % Success case prop solver time : 0.000
% 0.08/0.26 % Current number of processed clauses : 13
% 0.08/0.26 % Positive orientable unit clauses : 7
% 0.08/0.26 % Positive unorientable unit clauses: 0
% 0.08/0.26 % Negative unit clauses : 1
% 0.08/0.26 % Non-unit-clauses : 5
% 0.08/0.26 % Current number of unprocessed clauses: 35
% 0.08/0.26 % ...number of literals in the above : 141
% 0.08/0.26 % Current number of archived formulas : 0
% 0.08/0.26 % Current number of archived clauses : 0
% 0.08/0.26 % Clause-clause subsumption calls (NU) : 9
% 0.08/0.26 % Rec. Clause-clause subsumption calls : 9
% 0.08/0.26 % Non-unit clause-clause subsumptions : 0
% 0.08/0.26 % Unit Clause-clause subsumption calls : 2
% 0.08/0.26 % Rewrite failures with RHS unbound : 0
% 0.08/0.26 % BW rewrite match attempts : 0
% 0.08/0.26 % BW rewrite match successes : 0
% 0.08/0.26 % Condensation attempts : 0
% 0.08/0.26 % Condensation successes : 0
% 0.08/0.26 % Termbank termtop insertions : 4617
% 0.08/0.26 % Search garbage collected termcells : 1664
% 0.08/0.26
% 0.08/0.26 % -------------------------------------------------
% 0.08/0.26 % User time : 0.007 s
% 0.08/0.26 % System time : 0.002 s
% 0.08/0.26 % Total time : 0.009 s
% 0.08/0.26 % Maximum resident set size: 3876 pages
% 0.08/0.26
% 0.08/0.26 % -------------------------------------------------
% 0.08/0.26 % User time : 0.010 s
% 0.08/0.26 % System time : 0.006 s
% 0.08/0.26 % Total time : 0.016 s
% 0.08/0.26 % Maximum resident set size: 4864 pages
% 0.08/0.26 % E exiting
%------------------------------------------------------------------------------