%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS068+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n008.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 01:52:58 PM UTC 2026
% Result : Unsatisfiable 4.15s 0.98s
% Output : Proof 4.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 12
% Syntax : Number of formulae : 74 ( 50 unt; 0 def)
% Number of atoms : 109 ( 45 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 67 ( 32 ~; 21 |; 7 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 54 ( 3 sgn 22 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X] :
( ! [Y] :
( rr(X,Y)
=> cc(Y) )
=> cd(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f6_nnf,plain,
! [X] :
( cd(X)
| ? [Y] :
( ~ cc(Y)
& rr(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X] :
( cd(X)
| ( ~ cc(sk0(X))
& rr(X,sk0(X)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f6_nnf]) ).
cnf(c9,plain,
( cd(X0)
| ~ cc(sk0(X0)) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(t18,plain,
ifeq(cc(sk0(X1)),true,cd(X1),true) = true,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(t26,plain,
ifeq(cc(sk0(X1)),true,cd(X1),true) = true,
inference(orient,[status(thm)],[t18]) ).
fof(f4,axiom,
! [X] :
( cc(X)
=> ! [Y] :
( rr(X,Y)
=> cc(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f4_nnf,plain,
! [X] :
( ! [Y] :
( cc(Y)
| ~ rr(X,Y) )
| ~ cc(X) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X,Y] :
( cc(Y)
| ~ rr(X,Y)
| ~ cc(X) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c6,plain,
( cc(X1)
| ~ rr(X0,X1)
| ~ cc(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(t21,plain,
ifeq(cc(X1),true,ifeq(rr(X1,X2),true,cc(X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t25,plain,
ifeq(cc(X1),true,ifeq(rr(X1,X2),true,cc(X2),true),true) = true,
inference(orient,[status(thm)],[t21]) ).
cnf(c8,plain,
( cd(X0)
| rr(X0,sk0(X0)) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(t17,plain,
or(rr(X1,sk0(X1)),cd(X1)) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(t36,plain,
or(rr(X1,sk0(X1)),cd(X1)) = true,
inference(orient,[status(thm)],[t17]) ).
cnf(t13,plain,
ifeq(not(X1),true,X1,false) = false,
introduced(definition) ).
cnf(t46,plain,
ifeq(not(X1),true,X1,false) = false,
inference(orient,[status(thm)],[t13]) ).
fof(f3,axiom,
! [X] :
( cUnsatisfiable(X)
=> ~ cd(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f3_nnf,plain,
! [X] :
( ~ cd(X)
| ~ cUnsatisfiable(X) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] :
( ~ cd(X)
| ~ cUnsatisfiable(X) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c5,plain,
( ~ cd(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t15,plain,
or(not(cUnsatisfiable(X1)),not(cd(X1))) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(t33,plain,
or(not(cUnsatisfiable(X1)),not(cd(X1))) = true,
inference(orient,[status(thm)],[t15]) ).
fof(f5,axiom,
cUnsatisfiable(i2003_11_14_17_18_23845),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f5_nnf,plain,
cUnsatisfiable(i2003_11_14_17_18_23845),
inference(nnf_transformation,[status(thm)],[f5]) ).
cnf(c7,plain,
cUnsatisfiable(i2003_11_14_17_18_23845),
inference(cnf_transformation,[status(esa)],[f5_nnf]) ).
cnf(t0,plain,
cUnsatisfiable(i2003_11_14_17_18_23845) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(t42,plain,
cUnsatisfiable(i2003_11_14_17_18_23845) = true,
inference(orient,[status(thm)],[t0]) ).
cnf(t43,plain,
true = or(not(true),not(cd(i2003_11_14_17_18_23845))),
inference(cp,[status(thm)],[t33,t42]) ).
cnf(t5,plain,
not(true) = false,
introduced(definition) ).
cnf(t47,plain,
not(true) = false,
inference(orient,[status(thm)],[t5]) ).
cnf(t78,plain,
true = or(false,not(cd(i2003_11_14_17_18_23845))),
inference(step,[status(thm)],[t43,t47]) ).
cnf(t8,plain,
or(false,X1) = X1,
introduced(definition) ).
cnf(t24,plain,
or(false,X1) = X1,
inference(orient,[status(thm)],[t8]) ).
cnf(t79,plain,
true = not(cd(i2003_11_14_17_18_23845)),
inference(step,[status(thm)],[t78,t24]) ).
cnf(t53,plain,
not(cd(i2003_11_14_17_18_23845)) = true,
inference(orient,[status(thm)],[t79]) ).
cnf(t54,plain,
false = ifeq(true,true,cd(i2003_11_14_17_18_23845),false),
inference(cp,[status(thm)],[t46,t53]) ).
cnf(t10,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t22,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t10]) ).
cnf(t80,plain,
false = cd(i2003_11_14_17_18_23845),
inference(step,[status(thm)],[t54,t22]) ).
cnf(t55,plain,
cd(i2003_11_14_17_18_23845) = false,
inference(orient,[status(thm)],[t80]) ).
cnf(t56,plain,
true = or(rr(i2003_11_14_17_18_23845,sk0(i2003_11_14_17_18_23845)),false),
inference(cp,[status(thm)],[t36,t55]) ).
cnf(t6,plain,
or(X1,false) = X1,
introduced(definition) ).
cnf(t23,plain,
or(X1,false) = X1,
inference(orient,[status(thm)],[t6]) ).
cnf(t81,plain,
true = rr(i2003_11_14_17_18_23845,sk0(i2003_11_14_17_18_23845)),
inference(step,[status(thm)],[t56,t23]) ).
cnf(t58,plain,
rr(i2003_11_14_17_18_23845,sk0(i2003_11_14_17_18_23845)) = true,
inference(orient,[status(thm)],[t81]) ).
cnf(t59,plain,
true = ifeq(cc(i2003_11_14_17_18_23845),true,ifeq(true,true,cc(sk0(i2003_11_14_17_18_23845)),true),true),
inference(cp,[status(thm)],[t25,t58]) ).
fof(f2,axiom,
! [X] :
( cUnsatisfiable(X)
=> cc(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f2_nnf,plain,
! [X] :
( cc(X)
| ~ cUnsatisfiable(X) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] :
( cc(X)
| ~ cUnsatisfiable(X) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c4,plain,
( cc(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi1,axiom,
ifeq(cUnsatisfiable(X0),true,cc(X0),true) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(hi3,axiom,
cUnsatisfiable(i2003_11_14_17_18_23845) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(t1,plain,
cc(i2003_11_14_17_18_23845) = true,
inference(hyper_resolution,[status(thm)],[hi1,hi3]) ).
cnf(t38,plain,
cc(i2003_11_14_17_18_23845) = true,
inference(orient,[status(thm)],[t1]) ).
cnf(t82,plain,
true = ifeq(true,true,ifeq(true,true,cc(sk0(i2003_11_14_17_18_23845)),true),true),
inference(step,[status(thm)],[t59,t38]) ).
cnf(t83,plain,
true = ifeq(true,true,cc(sk0(i2003_11_14_17_18_23845)),true),
inference(step,[status(thm)],[t82,t22]) ).
cnf(t84,plain,
true = cc(sk0(i2003_11_14_17_18_23845)),
inference(step,[status(thm)],[t83,t22]) ).
cnf(t60,plain,
cc(sk0(i2003_11_14_17_18_23845)) = true,
inference(orient,[status(thm)],[t84]) ).
cnf(t64,plain,
true = ifeq(true,true,cd(i2003_11_14_17_18_23845),true),
inference(cp,[status(thm)],[t26,t60]) ).
cnf(t85,plain,
true = cd(i2003_11_14_17_18_23845),
inference(step,[status(thm)],[t64,t22]) ).
cnf(t86,plain,
true = false,
inference(step,[status(thm)],[t85,t55]) ).
cnf(t65,plain,
false = true,
inference(orient,[status(thm)],[t86]) ).
fof(f0,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f0_nnf,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c1,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
fof(f1,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f1_nnf,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c2,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c1,c2,c5]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t65]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS068+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.35 % Computer : n008.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Wed Sep 23 19:19:23 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.15/0.98 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.15/0.98 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------