%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : CSR031+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n005.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 01:05:17 PM UTC 2026
% Result : Theorem 4.07s 0.92s
% Output : Proof 4.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 17 unt; 0 def)
% Number of atoms : 57 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 59 ( 35 ~; 18 |; 5 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 39 ( 2 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f33,axiom,
! [INS,ARG2] :
( disjointwith(INS,ARG2)
=> collection(INS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).
fof(f33_nnf,plain,
! [INS,ARG2] :
( collection(INS)
| ~ disjointwith(INS,ARG2) ),
inference(nnf_transformation,[status(thm)],[f33]) ).
fof(f33_sk,plain,
! [INS,ARG2] :
( collection(INS)
| ~ disjointwith(INS,ARG2) ),
inference(skolemisation,[status(esa)],[f33_nnf]) ).
cnf(c33,plain,
( collection(X0)
| ~ disjointwith(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f33_sk]) ).
cnf(hi30,axiom,
ifeq(disjointwith(X0,X1),true,collection(X0),true) = true,
inference(equality_encoding,[status(esa)],[c33]) ).
fof(f55,conjecture,
~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query31) ).
fof(f55_neg,negated_conjecture,
~ ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(negated_conjecture,[status(cth)],[f55]) ).
fof(f55_nnf,plain,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(nnf_transformation,[status(thm)],[f55_neg]) ).
cnf(c55,plain,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(cnf_transformation,[status(esa)],[f55_nnf]) ).
cnf(hi52,negated_conjecture,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488) = true,
inference(equality_encoding,[status(esa)],[c55]) ).
cnf(h11,plain,
collection(c_tptptptpcol_16_8398) = true,
inference(hyper_resolution,[status(thm)],[hi30,hi52]) ).
fof(f3,axiom,
! [OBJ] :
~ ( individual(OBJ)
& collection(OBJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just4) ).
fof(f3_nnf,plain,
! [OBJ] :
( ~ individual(OBJ)
| ~ collection(OBJ) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [OBJ] :
( ~ individual(OBJ)
| ~ collection(OBJ) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( ~ individual(X0)
| ~ collection(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(hi53,axiom,
ifeq(collection(X0),true,ifeq(individual(X0),true,false,true),true) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
fof(f5,axiom,
individual(c_tptptptpcol_16_8398),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just6) ).
fof(f5_nnf,plain,
individual(c_tptptptpcol_16_8398),
inference(nnf_transformation,[status(thm)],[f5]) ).
cnf(c5,plain,
individual(c_tptptptpcol_16_8398),
inference(cnf_transformation,[status(esa)],[f5_nnf]) ).
cnf(hi4,axiom,
individual(c_tptptptpcol_16_8398) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi53,h11,hi4]) ).
cnf(t291,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
fof(f6,axiom,
! [OBJ,COL1,COL2] :
~ ( disjointwith(COL1,COL2)
& isa(OBJ,COL2)
& isa(OBJ,COL1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).
fof(f6_nnf,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( ~ disjointwith(X1,X2)
| ~ isa(X0,X2)
| ~ isa(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
fof(f10,axiom,
! [OBJ,COL1,COL2] :
~ ( disjointwith(COL1,COL2)
& isa(OBJ,COL2)
& isa(OBJ,COL1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).
fof(f10_nnf,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( ~ disjointwith(X1,X2)
| ~ isa(X0,X2)
| ~ isa(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c3,c6,c10]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t291]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR031+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 08:15:02 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.07/0.92 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.07/0.92 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------