%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN708-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n002.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 : Fri Sep 25 03:35:32 PM UTC 2026
% Result : Unsatisfiable 27.92s 14.29s
% Output : Proof 27.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of formulae : 95 ( 67 unt; 0 def)
% Number of atoms : 147 ( 30 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 126 ( 74 ~; 52 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-4 aty)
% Number of variables : 86 ( 2 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f68,negated_conjecture,
~ p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p39_69) ).
fof(f68_nnf,plain,
~ p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
inference(nnf_transformation,[status(thm)],[f68]) ).
fof(f68_sk,plain,
~ p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
inference(skolemisation,[status(esa)],[f68_nnf]) ).
cnf(c68,plain,
~ p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
inference(cnf_transformation,[status(esa)],[f68_sk]) ).
cnf(t237,plain,
ifeq(p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c68]) ).
cnf(t298,plain,
ifeq(p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),true,false,true) = true,
inference(orient,[status(thm)],[t237]) ).
cnf(f35,negated_conjecture,
( ~ p38(X27)
| p16(f19(f15(X27)),f28(f19(X27))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_36) ).
fof(f35_nnf,plain,
! [X27] :
( ~ p38(X27)
| p16(f19(f15(X27)),f28(f19(X27))) ),
inference(nnf_transformation,[status(thm)],[f35]) ).
fof(f35_sk,plain,
! [X27] :
( ~ p38(X27)
| p16(f19(f15(X27)),f28(f19(X27))) ),
inference(skolemisation,[status(esa)],[f35_nnf]) ).
cnf(c35,plain,
( ~ p38(X0)
| p16(f19(f15(X0)),f28(f19(X0))) ),
inference(cnf_transformation,[status(esa)],[f35_sk]) ).
cnf(hi31,negated_conjecture,
ifeq(p38(X0),true,p16(f19(f15(X0)),f28(f19(X0))),true) = true,
inference(equality_encoding,[status(esa)],[c35]) ).
cnf(f0,negated_conjecture,
p38(c56),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c56_is_p38_1) ).
fof(f0_nnf,plain,
p38(c56),
inference(nnf_transformation,[status(thm)],[f0]) ).
cnf(c0,plain,
p38(c56),
inference(cnf_transformation,[status(esa)],[f0_nnf]) ).
cnf(hi0,negated_conjecture,
p38(c56) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(h0,plain,
p16(f19(f15(c56)),f28(f19(c56))) = true,
inference(hyper_resolution,[status(thm)],[hi31,hi0]) ).
cnf(f14,negated_conjecture,
( ~ p38(X27)
| p38(f15(X27)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p38_15) ).
fof(f14_nnf,plain,
! [X27] :
( ~ p38(X27)
| p38(f15(X27)) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [X27] :
( ~ p38(X27)
| p38(f15(X27)) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
( ~ p38(X0)
| p38(f15(X0)) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(hi10,negated_conjecture,
ifeq(p38(X0),true,p38(f15(X0)),true) = true,
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(h1,plain,
p38(f15(c56)) = true,
inference(hyper_resolution,[status(thm)],[hi10,hi0]) ).
cnf(f36,negated_conjecture,
( ~ p10(X0,X2)
| ~ p10(X0,X1)
| p10(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_37) ).
fof(f36_nnf,plain,
! [X1,X2,X0] :
( ~ p10(X0,X2)
| ~ p10(X0,X1)
| p10(X1,X2) ),
inference(nnf_transformation,[status(thm)],[f36]) ).
fof(f36_sk,plain,
! [X1,X2,X0] :
( ~ p10(X0,X2)
| ~ p10(X0,X1)
| p10(X1,X2) ),
inference(skolemisation,[status(esa)],[f36_nnf]) ).
cnf(c36,plain,
( ~ p10(X2,X1)
| ~ p10(X2,X0)
| p10(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f36_sk]) ).
cnf(hi32,negated_conjecture,
ifeq(p10(X0,X1),true,ifeq(p10(X0,X2),true,p10(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c36]) ).
cnf(f65,negated_conjecture,
p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_66) ).
fof(f65_nnf,plain,
p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
inference(nnf_transformation,[status(thm)],[f65]) ).
cnf(c65,plain,
p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
inference(cnf_transformation,[status(esa)],[f65_nnf]) ).
cnf(hi61,negated_conjecture,
p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) = true,
inference(equality_encoding,[status(esa)],[c65]) ).
cnf(f2,negated_conjecture,
p10(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_3) ).
fof(f2_nnf,plain,
! [X0] : p10(X0,X0),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X0] : p10(X0,X0),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
p10(X0,X0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi1,negated_conjecture,
p10(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h51,plain,
p10(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))),c48) = true,
inference(hyper_resolution,[status(thm)],[hi32,hi61,hi1]) ).
cnf(f18,negated_conjecture,
( ~ p10(X98,X97)
| ~ p38(X98)
| p38(X97) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p38_19) ).
fof(f18_nnf,plain,
! [X97,X98] :
( ~ p10(X98,X97)
| ~ p38(X98)
| p38(X97) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
! [X97,X98] :
( ~ p10(X98,X97)
| ~ p38(X98)
| p38(X97) ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
( ~ p10(X1,X0)
| ~ p38(X1)
| p38(X0) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(hi14,negated_conjecture,
ifeq(p38(X0),true,ifeq(p10(X0,X1),true,p38(X1),true),true) = true,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(f63,negated_conjecture,
p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f11_is_p38_64) ).
fof(f63_nnf,plain,
p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
inference(nnf_transformation,[status(thm)],[f63]) ).
cnf(c63,plain,
p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
inference(cnf_transformation,[status(esa)],[f63_nnf]) ).
cnf(hi59,negated_conjecture,
p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) = true,
inference(equality_encoding,[status(esa)],[c63]) ).
cnf(h2437,plain,
p38(c48) = true,
inference(hyper_resolution,[status(thm)],[hi14,hi59,h51]) ).
cnf(f53,negated_conjecture,
( ~ p37(X91,X92)
| ~ p38(X91)
| ~ p38(X92)
| p39(f19(X91),f19(X92)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_54) ).
fof(f53_nnf,plain,
! [X91,X92] :
( ~ p37(X91,X92)
| ~ p38(X91)
| ~ p38(X92)
| p39(f19(X91),f19(X92)) ),
inference(nnf_transformation,[status(thm)],[f53]) ).
fof(f53_sk,plain,
! [X91,X92] :
( ~ p37(X91,X92)
| ~ p38(X91)
| ~ p38(X92)
| p39(f19(X91),f19(X92)) ),
inference(skolemisation,[status(esa)],[f53_nnf]) ).
cnf(c53,plain,
( ~ p37(X0,X1)
| ~ p38(X0)
| ~ p38(X1)
| p39(f19(X0),f19(X1)) ),
inference(cnf_transformation,[status(esa)],[f53_sk]) ).
cnf(hi49,negated_conjecture,
ifeq(p38(X0),true,ifeq(p38(X1),true,ifeq(p37(X1,X0),true,p39(f19(X1),f19(X0)),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c53]) ).
cnf(f12,negated_conjecture,
p37(f15(c56),c48),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p37_13) ).
fof(f12_nnf,plain,
p37(f15(c56),c48),
inference(nnf_transformation,[status(thm)],[f12]) ).
cnf(c12,plain,
p37(f15(c56),c48),
inference(cnf_transformation,[status(esa)],[f12_nnf]) ).
cnf(hi9,negated_conjecture,
p37(f15(c56),c48) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(h2438,plain,
p39(f19(f15(c56)),f19(c48)) = true,
inference(hyper_resolution,[status(thm)],[hi49,h2437,h1,hi9]) ).
cnf(f31,negated_conjecture,
( ~ p10(X25,X26)
| p16(f19(X25),f19(X26)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_32) ).
fof(f31_nnf,plain,
! [X25,X26] :
( ~ p10(X25,X26)
| p16(f19(X25),f19(X26)) ),
inference(nnf_transformation,[status(thm)],[f31]) ).
fof(f31_sk,plain,
! [X25,X26] :
( ~ p10(X25,X26)
| p16(f19(X25),f19(X26)) ),
inference(skolemisation,[status(esa)],[f31_nnf]) ).
cnf(c31,plain,
( ~ p10(X0,X1)
| p16(f19(X0),f19(X1)) ),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(hi27,negated_conjecture,
ifeq(p10(X0,X1),true,p16(f19(X0),f19(X1)),true) = true,
inference(equality_encoding,[status(esa)],[c31]) ).
cnf(h53,plain,
p16(f19(c48),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))) = true,
inference(hyper_resolution,[status(thm)],[hi27,hi61]) ).
cnf(f51,negated_conjecture,
( ~ p16(X101,X99)
| ~ p39(X101,X102)
| ~ p16(X102,X100)
| p39(X99,X100) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_52) ).
fof(f51_nnf,plain,
! [X99,X100,X102,X101] :
( ~ p16(X101,X99)
| ~ p39(X101,X102)
| ~ p16(X102,X100)
| p39(X99,X100) ),
inference(nnf_transformation,[status(thm)],[f51]) ).
fof(f51_sk,plain,
! [X99,X100,X102,X101] :
( ~ p16(X101,X99)
| ~ p39(X101,X102)
| ~ p16(X102,X100)
| p39(X99,X100) ),
inference(skolemisation,[status(esa)],[f51_nnf]) ).
cnf(c51,plain,
( ~ p16(X3,X0)
| ~ p39(X3,X2)
| ~ p16(X2,X1)
| p39(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f51_sk]) ).
cnf(hi47,negated_conjecture,
ifeq(p16(X0,X1),true,ifeq(p39(X2,X0),true,ifeq(p16(X2,X3),true,p39(X3,X1),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c51]) ).
cnf(t235,plain,
p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))) = true,
inference(hyper_resolution,[status(thm)],[hi47,h53,h2438,h0]) ).
cnf(t744,plain,
p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))) = true,
inference(orient,[status(thm)],[t235]) ).
cnf(t803,plain,
ifeq(true,true,false,true) = true,
inference(step,[status(thm)],[t298,t744]) ).
cnf(t25,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t256,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t25]) ).
cnf(t804,plain,
false = true,
inference(step,[status(thm)],[t803,t256]) ).
cnf(t747,plain,
false = true,
inference(rw,[status(thm)],[t804]) ).
cnf(t798,plain,
false = true,
inference(orient,[status(thm)],[t747]) ).
cnf(f1,negated_conjecture,
~ p34(c56),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c56_is_not_p34_2) ).
fof(f1_nnf,plain,
~ p34(c56),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
~ p34(c56),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
~ p34(c56),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(f10,negated_conjecture,
~ p35(c56,c58),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p35_11) ).
fof(f10_nnf,plain,
~ p35(c56,c58),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
~ p35(c56,c58),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
~ p35(c56,c58),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(f11,negated_conjecture,
~ p35(c56,c57),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p35_12) ).
fof(f11_nnf,plain,
~ p35(c56,c57),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
~ p35(c56,c57),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
~ p35(c56,c57),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(f13,negated_conjecture,
~ p36(f15(c56),c47),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p36_14) ).
fof(f13_nnf,plain,
~ p36(f15(c56),c47),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
~ p36(f15(c56),c47),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
~ p36(f15(c56),c47),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c1,c10,c11,c13,c68]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t798]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN708-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/10.38 % Computer : n002.cluster.edu
% 0.09/10.38 % Model : x86_64 x86_64
% 0.09/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.38 % Memory : 8046.5625MB
% 0.09/10.38 % OS : Linux 6.8.0-71-generic
% 0.09/10.38 % CPULimit : 300
% 0.09/10.38 % WCLimit : 300
% 0.09/10.38 % DateTime : Fri Sep 25 02:11:45 UTC 2026
% 0.09/10.38 % CPUTime :
% 0.09/10.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 27.92/14.29 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.92/14.29 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------