%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN709-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : 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 : Fri Sep 25 03:35:32 PM UTC 2026
% Result : Unsatisfiable 4.68s 1.25s
% Output : Proof 4.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 57 ( 41 unt; 0 def)
% Number of atoms : 85 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 66 ( 38 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 15 con; 0-4 aty)
% Number of variables : 83 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f80,negated_conjecture,
( ~ p46(f23(c58,X148),f20(c59,X149))
| p47(f31(f33(c62,c63),f34(c66,X148)),X149) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_81) ).
fof(f80_nnf,plain,
! [X148,X149] :
( ~ p46(f23(c58,X148),f20(c59,X149))
| p47(f31(f33(c62,c63),f34(c66,X148)),X149) ),
inference(nnf_transformation,[status(thm)],[f80]) ).
fof(f80_sk,plain,
! [X148,X149] :
( ~ p46(f23(c58,X148),f20(c59,X149))
| p47(f31(f33(c62,c63),f34(c66,X148)),X149) ),
inference(skolemisation,[status(esa)],[f80_nnf]) ).
cnf(c80,plain,
( ~ p46(f23(c58,X0),f20(c59,X1))
| p47(f31(f33(c62,c63),f34(c66,X0)),X1) ),
inference(cnf_transformation,[status(esa)],[f80_sk]) ).
cnf(hi78,negated_conjecture,
ifeq(p46(f23(c58,X0),f20(c59,X1)),true,p47(f31(f33(c62,c63),f34(c66,X0)),X1),true) = true,
inference(equality_encoding,[status(esa)],[c80]) ).
cnf(f28,negated_conjecture,
p46(f23(c58,c56),f20(c59,c60)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p46_29) ).
fof(f28_nnf,plain,
p46(f23(c58,c56),f20(c59,c60)),
inference(nnf_transformation,[status(thm)],[f28]) ).
cnf(c28,plain,
p46(f23(c58,c56),f20(c59,c60)),
inference(cnf_transformation,[status(esa)],[f28_nnf]) ).
cnf(hi28,negated_conjecture,
p46(f23(c58,c56),f20(c59,c60)) = true,
inference(equality_encoding,[status(esa)],[c28]) ).
cnf(h0,plain,
p47(f31(f33(c62,c63),f34(c66,c56)),c60) = true,
inference(hyper_resolution,[status(thm)],[hi78,hi28]) ).
cnf(f82,negated_conjecture,
( ~ p47(f31(f33(c62,c63),X146),X147)
| p47(f31(f33(c62,c63),f25(f28(c64,c65),X146)),f25(f28(c64,c65),X147)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_83) ).
fof(f82_nnf,plain,
! [X146,X147] :
( ~ p47(f31(f33(c62,c63),X146),X147)
| p47(f31(f33(c62,c63),f25(f28(c64,c65),X146)),f25(f28(c64,c65),X147)) ),
inference(nnf_transformation,[status(thm)],[f82]) ).
fof(f82_sk,plain,
! [X146,X147] :
( ~ p47(f31(f33(c62,c63),X146),X147)
| p47(f31(f33(c62,c63),f25(f28(c64,c65),X146)),f25(f28(c64,c65),X147)) ),
inference(skolemisation,[status(esa)],[f82_nnf]) ).
cnf(c82,plain,
( ~ p47(f31(f33(c62,c63),X0),X1)
| p47(f31(f33(c62,c63),f25(f28(c64,c65),X0)),f25(f28(c64,c65),X1)) ),
inference(cnf_transformation,[status(esa)],[f82_sk]) ).
cnf(hi80,negated_conjecture,
ifeq(p47(f31(f33(c62,c63),X0),X1),true,p47(f31(f33(c62,c63),f25(f28(c64,c65),X0)),f25(f28(c64,c65),X1)),true) = true,
inference(equality_encoding,[status(esa)],[c82]) ).
cnf(h1,plain,
p47(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56))),f25(f28(c64,c65),c60)) = true,
inference(hyper_resolution,[status(thm)],[hi80,h0]) ).
cnf(f71,negated_conjecture,
( ~ p29(X89,X91)
| ~ p19(X90,X92)
| p30(f31(X89,X90),f31(X91,X92)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p30_72) ).
fof(f71_nnf,plain,
! [X89,X90,X91,X92] :
( ~ p29(X89,X91)
| ~ p19(X90,X92)
| p30(f31(X89,X90),f31(X91,X92)) ),
inference(nnf_transformation,[status(thm)],[f71]) ).
fof(f71_sk,plain,
! [X89,X90,X91,X92] :
( ~ p29(X89,X91)
| ~ p19(X90,X92)
| p30(f31(X89,X90),f31(X91,X92)) ),
inference(skolemisation,[status(esa)],[f71_nnf]) ).
cnf(c71,plain,
( ~ p29(X0,X2)
| ~ p19(X1,X3)
| p30(f31(X0,X1),f31(X2,X3)) ),
inference(cnf_transformation,[status(esa)],[f71_sk]) ).
cnf(hi69,negated_conjecture,
ifeq(p19(X0,X1),true,ifeq(p29(X2,X3),true,p30(f31(X2,X0),f31(X3,X1)),true),true) = true,
inference(equality_encoding,[status(esa)],[c71]) ).
cnf(f58,negated_conjecture,
p19(f25(f28(c64,X33),f34(c66,X34)),f34(X33,X34)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_59) ).
fof(f58_nnf,plain,
! [X33,X34] : p19(f25(f28(c64,X33),f34(c66,X34)),f34(X33,X34)),
inference(nnf_transformation,[status(thm)],[f58]) ).
fof(f58_sk,plain,
! [X33,X34] : p19(f25(f28(c64,X33),f34(c66,X34)),f34(X33,X34)),
inference(skolemisation,[status(esa)],[f58_nnf]) ).
cnf(c58,plain,
p19(f25(f28(c64,X0),f34(c66,X1)),f34(X0,X1)),
inference(cnf_transformation,[status(esa)],[f58_sk]) ).
cnf(hi57,negated_conjecture,
p19(f25(f28(c64,X0),f34(c66,X1)),f34(X0,X1)) = true,
inference(equality_encoding,[status(esa)],[c58]) ).
cnf(f13,negated_conjecture,
p29(X72,X72),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_14) ).
fof(f13_nnf,plain,
! [X72] : p29(X72,X72),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [X72] : p29(X72,X72),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
p29(X0,X0),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(hi13,negated_conjecture,
p29(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(h4,plain,
p30(f31(V0,f25(f28(c64,V1),f34(c66,V2))),f31(V0,f34(V1,V2))) = true,
inference(hyper_resolution,[status(thm)],[hi69,hi57,hi13]) ).
cnf(f59,negated_conjecture,
( ~ p19(X144,X143)
| ~ p47(X145,X144)
| ~ p30(X145,X142)
| p47(X142,X143) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_60) ).
fof(f59_nnf,plain,
! [X142,X143,X145,X144] :
( ~ p19(X144,X143)
| ~ p47(X145,X144)
| ~ p30(X145,X142)
| p47(X142,X143) ),
inference(nnf_transformation,[status(thm)],[f59]) ).
fof(f59_sk,plain,
! [X142,X143,X145,X144] :
( ~ p19(X144,X143)
| ~ p47(X145,X144)
| ~ p30(X145,X142)
| p47(X142,X143) ),
inference(skolemisation,[status(esa)],[f59_nnf]) ).
cnf(c59,plain,
( ~ p19(X3,X1)
| ~ p47(X2,X3)
| ~ p30(X2,X0)
| p47(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f59_sk]) ).
cnf(hi58,negated_conjecture,
ifeq(p30(X0,X1),true,ifeq(p47(X0,X2),true,ifeq(p19(X2,X3),true,p47(X1,X3),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c59]) ).
cnf(f20,negated_conjecture,
p19(X26,X26),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_21) ).
fof(f20_nnf,plain,
! [X26] : p19(X26,X26),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [X26] : p19(X26,X26),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
p19(X0,X0),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(hi20,negated_conjecture,
p19(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c20]) ).
cnf(h25,plain,
p47(f31(f33(c62,c63),f34(c65,c56)),f25(f28(c64,c65),c60)) = true,
inference(hyper_resolution,[status(thm)],[hi58,h4,h1,hi20]) ).
cnf(f63,negated_conjecture,
~ p47(f31(f33(c62,c63),f34(c65,c56)),f25(f28(c64,c65),c60)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p47_64) ).
fof(f63_nnf,plain,
~ p47(f31(f33(c62,c63),f34(c65,c56)),f25(f28(c64,c65),c60)),
inference(nnf_transformation,[status(thm)],[f63]) ).
fof(f63_sk,plain,
~ p47(f31(f33(c62,c63),f34(c65,c56)),f25(f28(c64,c65),c60)),
inference(skolemisation,[status(esa)],[f63_nnf]) ).
cnf(c63,plain,
~ p47(f31(f33(c62,c63),f34(c65,c56)),f25(f28(c64,c65),c60)),
inference(cnf_transformation,[status(esa)],[f63_sk]) ).
cnf(hi82,negated_conjecture,
ifeq(p47(f31(f33(c62,c63),f34(c65,c56)),f25(f28(c64,c65),c60)),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c63]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi82,h25]) ).
cnf(t471,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
cnf(f31,negated_conjecture,
~ p45(f12(f14(c54,f17(c55,c49)),c56),c57),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p45_32) ).
fof(f31_nnf,plain,
~ p45(f12(f14(c54,f17(c55,c49)),c56),c57),
inference(nnf_transformation,[status(thm)],[f31]) ).
fof(f31_sk,plain,
~ p45(f12(f14(c54,f17(c55,c49)),c56),c57),
inference(skolemisation,[status(esa)],[f31_nnf]) ).
cnf(c31,plain,
~ p45(f12(f14(c54,f17(c55,c49)),c56),c57),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c31,c63]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t471]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN709-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 02:08:59 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.68/1.25 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.68/1.25 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------