%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM480+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n012.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 02:25:10 PM UTC 2026
% Result : Theorem 3.10s 0.97s
% Output : CNFRefutation 3.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 41 ( 22 unt; 0 def)
% Number of atoms : 87 ( 40 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 78 ( 32 ~; 26 |; 16 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn 29 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(f36,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1524) ).
fof(f38,axiom,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1553) ).
fof(f39,axiom,
( sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) = sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl))
& sdtasdt0(xn,xm) = sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl))
& aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xl))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1594) ).
fof(f40,conjecture,
( ( xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl)) )
=> ( sdtasdt0(xn,sdtsldt0(xm,xl)) = sdtsldt0(sdtasdt0(xn,xm),xl)
| sdtasdt0(xn,xm) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f41,negated_conjecture,
~ ( ( xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl)) )
=> ( sdtasdt0(xn,sdtsldt0(xm,xl)) = sdtsldt0(sdtasdt0(xn,xm),xl)
| sdtasdt0(xn,xm) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))) ) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f54,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f55,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(flattening,[],[f56]) ).
fof(f101,plain,
( xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl))
& sdtsldt0(sdtasdt0(xn,xm),xl) != sdtasdt0(xn,sdtsldt0(xm,xl))
& sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))) ),
inference(ennf_transformation,[],[f41]) ).
fof(f102,plain,
( xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl))
& sdtsldt0(sdtasdt0(xn,xm),xl) != sdtasdt0(xn,sdtsldt0(xm,xl))
& sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))) ),
inference(flattening,[],[f101]) ).
fof(f123,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f170,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f36]) ).
fof(f171,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f36]) ).
fof(f176,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f38]) ).
fof(f177,plain,
sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)) = sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)),
inference(cnf_transformation,[],[f39]) ).
fof(f178,plain,
sdtasdt0(xn,xm) = sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)),
inference(cnf_transformation,[],[f39]) ).
fof(f183,plain,
aNaturalNumber0(sdtsldt0(xm,xl)),
inference(cnf_transformation,[],[f102]) ).
fof(f185,plain,
sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(cnf_transformation,[],[f102]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_104,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f171]) ).
tcf(c_105,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f170]) ).
tcf(c_110,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f176]) ).
tcf(c_114,plain,
sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)) = sdtasdt0(xn,xm),
inference(cnf_transformation,[],[f178]) ).
tcf(c_115,plain,
sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) = sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)),
inference(cnf_transformation,[],[f177]) ).
tcf(c_116,negated_conjecture,
sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))) != sdtasdt0(xn,xm),
inference(cnf_transformation,[],[f185]) ).
tcf(c_118,negated_conjecture,
aNaturalNumber0(sdtsldt0(xm,xl)),
inference(cnf_transformation,[],[f183]) ).
tcf(c_158,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xn) = sdtasdt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110,c_58]) ).
tcf(c_166,plain,
sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) = sdtasdt0(xn,xm),
inference(light_normalisation,[status(thm)],[c_115,c_114]) ).
tcf(c_190,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xl,X0),X1) = sdtasdt0(xl,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_104,c_59]) ).
tcf(c_259,plain,
sdtasdt0(xm,xn) = sdtasdt0(xn,xm),
inference(superposition,[status(thm)],[c_105,c_158]) ).
tcf(c_265,plain,
sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) = sdtasdt0(xm,xn),
inference(demodulation,[status(thm)],[c_166,c_259]) ).
tcf(c_266,plain,
sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))) != sdtasdt0(xm,xn),
inference(demodulation,[status(thm)],[c_116,c_259]) ).
tcf(c_460,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,xn),X0) = sdtasdt0(xl,sdtasdt0(xn,X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110,c_190]) ).
tcf(c_1458,plain,
sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_118,c_460]) ).
tcf(c_6966,plain,
sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))) = sdtasdt0(xm,xn),
inference(light_normalisation,[status(thm)],[c_1458,c_265]) ).
tcf(c_6967,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6966,c_266]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM480+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.02/0.30 % Computer : n012.cluster.edu
% 0.02/0.30 % Model : x86_64 x86_64
% 0.02/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.30 % Memory : 8046.5625MB
% 0.02/0.30 % OS : Linux 6.8.0-71-generic
% 0.02/0.30 % CPULimit : 300
% 0.02/0.30 % WCLimit : 300
% 0.02/0.30 % DateTime : Thu Sep 24 04:11:35 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.02/0.32 Running first-order theorem proving
% 0.02/0.32 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.33
% 0.07/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.33
% 0.07/0.33 % Detected problem language: tptp
% 0.07/0.34 % Proving...
% 3.10/0.97 % SZS status Started for theBenchmark.p
% 3.10/0.97 % SZS status Theorem for theBenchmark.p
% 3.10/0.97
% 3.10/0.97 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.10/0.97
% 3.10/0.97 % ------ iProver source info
% 3.10/0.97
% 3.10/0.97 % git: date: 2026-07-19 20:42:38 +0200
% 3.10/0.97 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.10/0.97 % git: non_committed_changes: false
% 3.10/0.97
% 3.10/0.97 % ------ Parsing...
% 3.10/0.97 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.10/0.97 % ------ Proving...
% 3.10/0.97 % ------ Problem Properties
% 3.10/0.97
% 3.10/0.97 %
% 3.10/0.97 % clauses 71
% 3.10/0.97 % conjectures 4
% 3.10/0.97 % EPR 17
% 3.10/0.97 % Horn 55
% 3.10/0.97 % unary 19
% 3.10/0.97 % binary 8
% 3.10/0.97 % lits 249
% 3.10/0.97 % lits eq 68
% 3.10/0.97 % fd_pure 0
% 3.10/0.97 % fd_pseudo 0
% 3.10/0.97 % fd_cond 7
% 3.10/0.97 % fd_pseudo_cond 13
% 3.10/0.97 % AC symbols 0
% 3.10/0.97
% 3.10/0.97 % ------ Input Options Time Limit: Unbounded
% 3.10/0.97
% 3.10/0.97
% 3.10/0.97 % ------
% 3.10/0.97 % Current options:
% 3.10/0.97 % ------
% 3.10/0.97
% 3.10/0.97
% 3.10/0.97 %
% 3.10/0.97
% 3.10/0.97 % ------ Proving...
% 3.10/0.97 %
% 3.10/0.97
% 3.10/0.97 % SZS status Theorem for theBenchmark.p
% 3.10/0.97
% 3.10/0.97 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.10/0.97
% 3.10/0.97
%------------------------------------------------------------------------------