%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MSC002-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n013.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 02:13:25 PM UTC 2026
% Result : Unsatisfiable 37.19s 5.28s
% Output : Proof 37.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 12
% Syntax : Number of formulae : 98 ( 70 unt; 0 def)
% Number of atoms : 138 ( 58 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 86 ( 46 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-4 aty)
% Number of variables : 178 ( 43 sgn 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f8,axiom,
( answer(Situation)
| ~ put(Thing,there,Situation)
| ~ red(Thing) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',answer_if_red_and_put_there) ).
fof(f8_nnf,plain,
! [Thing,Situation] :
( answer(Situation)
| ~ put(Thing,there,Situation)
| ~ red(Thing) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [Thing,Situation] :
( answer(Situation)
| ~ put(Thing,there,Situation)
| ~ red(Thing) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( answer(X1)
| ~ put(X0,there,X1)
| ~ red(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(t16,plain,
ifeq(red(X1),true,ifeq(put(X1,there,X2),true,answer(X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(t36,plain,
ifeq(red(X1),true,ifeq(put(X1,there,X2),true,answer(X2),true),true) = true,
inference(orient,[status(thm)],[t16]) ).
cnf(f13,negated_conjecture,
~ answer(Situation),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_an_answer_situation) ).
fof(f13_nnf,plain,
! [Situation] : ~ answer(Situation),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [Situation] : ~ answer(Situation),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
~ answer(X0),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(t0,plain,
answer(X1) = false,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(t51,plain,
answer(X1) = false,
inference(orient,[status(thm)],[t0]) ).
cnf(t6893,plain,
ifeq(red(X1),true,ifeq(put(X1,there,X2),true,false,true),true) = true,
inference(step,[status(thm)],[t36,t51]) ).
cnf(t53,plain,
ifeq(red(X1),true,ifeq(put(X1,there,X2),true,false,true),true) = true,
inference(rw,[status(thm)],[t6893]) ).
cnf(t1582,plain,
ifeq(red(X1),true,ifeq(put(X1,there,X2),true,false,true),true) = true,
inference(orient,[status(thm)],[t53]) ).
cnf(f4,axiom,
( red(Thing)
| ~ at(Thing,here,Situation) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',everything_is_red) ).
fof(f4_nnf,plain,
! [Thing,Situation] :
( red(Thing)
| ~ at(Thing,here,Situation) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [Thing,Situation] :
( red(Thing)
| ~ at(Thing,here,Situation) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( red(X0)
| ~ at(X0,here,X1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(t10,plain,
ifeq(at(X1,here,X2),true,red(X1),true) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(t29,plain,
ifeq(at(X1,here,X2),true,red(X1),true) = true,
inference(orient,[status(thm)],[t10]) ).
cnf(f0,axiom,
at(something,here,now),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',something_is_here_now) ).
fof(f0_nnf,plain,
at(something,here,now),
inference(nnf_transformation,[status(thm)],[f0]) ).
cnf(c0,plain,
at(something,here,now),
inference(cnf_transformation,[status(esa)],[f0_nnf]) ).
cnf(t5,plain,
at(something,here,now) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t37,plain,
at(something,here,now) = true,
inference(orient,[status(thm)],[t5]) ).
cnf(t38,plain,
true = ifeq(true,true,red(something),true),
inference(cp,[status(thm)],[t29,t37]) ).
cnf(t7,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t21,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t7]) ).
cnf(t6894,plain,
true = red(something),
inference(step,[status(thm)],[t38,t21]) ).
cnf(t54,plain,
red(something) = true,
inference(orient,[status(thm)],[t6894]) ).
cnf(t1583,plain,
true = ifeq(true,true,ifeq(put(something,there,X1),true,false,true),true),
inference(cp,[status(thm)],[t1582,t54]) ).
cnf(t7182,plain,
true = ifeq(put(something,there,X1),true,false,true),
inference(step,[status(thm)],[t1583,t21]) ).
cnf(t1584,plain,
ifeq(put(something,there,X1),true,false,true) = true,
inference(orient,[status(thm)],[t7182]) ).
cnf(f9,axiom,
( put(Thing,Another_place,go(Another_place,Situation))
| ~ grabbed(Thing,Situation)
| ~ at(Thing,Place,Situation) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',can_put_somewhere_if_grab_and_go_there) ).
fof(f9_nnf,plain,
! [Thing,Place,Situation,Another_place] :
( put(Thing,Another_place,go(Another_place,Situation))
| ~ grabbed(Thing,Situation)
| ~ at(Thing,Place,Situation) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [Thing,Place,Situation,Another_place] :
( put(Thing,Another_place,go(Another_place,Situation))
| ~ grabbed(Thing,Situation)
| ~ at(Thing,Place,Situation) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( put(X0,X3,go(X3,X2))
| ~ grabbed(X0,X2)
| ~ at(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(t20,plain,
ifeq(at(X1,X2,X3),true,ifeq(grabbed(X1,X3),true,put(X1,X4,go(X4,X3)),true),true) = true,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(t24,plain,
ifeq(at(X1,X2,X3),true,ifeq(grabbed(X1,X3),true,put(X1,X4,go(X4,X3)),true),true) = true,
inference(orient,[status(thm)],[t20]) ).
cnf(f7,axiom,
( grabbed(Thing,pick_up(go(Place,let_go(Situation))))
| ~ at(Thing,Place,Situation) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',can_grab_if_previously_let_go) ).
fof(f7_nnf,plain,
! [Thing,Place,Situation] :
( grabbed(Thing,pick_up(go(Place,let_go(Situation))))
| ~ at(Thing,Place,Situation) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [Thing,Place,Situation] :
( grabbed(Thing,pick_up(go(Place,let_go(Situation))))
| ~ at(Thing,Place,Situation) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( grabbed(X0,pick_up(go(X1,let_go(X2))))
| ~ at(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(t15,plain,
ifeq(at(X1,X2,X3),true,grabbed(X1,pick_up(go(X2,let_go(X3)))),true) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(t28,plain,
ifeq(at(X1,X2,X3),true,grabbed(X1,pick_up(go(X2,let_go(X3)))),true) = true,
inference(orient,[status(thm)],[t15]) ).
cnf(t44,plain,
true = ifeq(true,true,grabbed(something,pick_up(go(here,let_go(now)))),true),
inference(cp,[status(thm)],[t28,t37]) ).
cnf(t6901,plain,
true = grabbed(something,pick_up(go(here,let_go(now)))),
inference(step,[status(thm)],[t44,t21]) ).
cnf(t99,plain,
grabbed(something,pick_up(go(here,let_go(now)))) = true,
inference(orient,[status(thm)],[t6901]) ).
cnf(t100,plain,
true = ifeq(at(something,X1,pick_up(go(here,let_go(now)))),true,ifeq(true,true,put(something,X2,go(X2,pick_up(go(here,let_go(now))))),true),true),
inference(cp,[status(thm)],[t24,t99]) ).
cnf(t8026,plain,
true = ifeq(at(something,X1,pick_up(go(here,let_go(now)))),true,put(something,X2,go(X2,pick_up(go(here,let_go(now))))),true),
inference(step,[status(thm)],[t100,t21]) ).
cnf(t6871,plain,
ifeq(at(something,X1,pick_up(go(here,let_go(now)))),true,put(something,X2,go(X2,pick_up(go(here,let_go(now))))),true) = true,
inference(orient,[status(thm)],[t8026]) ).
cnf(f6,axiom,
( at(Thing,Place,pick_up(Situation))
| ~ at(Thing,Place,Situation) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',situation_pick_up) ).
fof(f6_nnf,plain,
! [Thing,Place,Situation] :
( at(Thing,Place,pick_up(Situation))
| ~ at(Thing,Place,Situation) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [Thing,Place,Situation] :
( at(Thing,Place,pick_up(Situation))
| ~ at(Thing,Place,Situation) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( at(X0,X1,pick_up(X2))
| ~ at(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(t14,plain,
ifeq(at(X1,X2,X3),true,at(X1,X2,pick_up(X3)),true) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t26,plain,
ifeq(at(X1,X2,X3),true,at(X1,X2,pick_up(X3)),true) = true,
inference(orient,[status(thm)],[t14]) ).
cnf(f10,axiom,
( at(Thing,Place,go(Another_place,Situation))
| ~ at(Thing,Place,Situation)
| held(Thing,Situation) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thing_either_held_or_went_there) ).
fof(f10_nnf,plain,
! [Thing,Situation,Place,Another_place] :
( at(Thing,Place,go(Another_place,Situation))
| ~ at(Thing,Place,Situation)
| held(Thing,Situation) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [Thing,Situation,Place,Another_place] :
( at(Thing,Place,go(Another_place,Situation))
| ~ at(Thing,Place,Situation)
| held(Thing,Situation) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( at(X0,X2,go(X3,X1))
| ~ at(X0,X2,X1)
| held(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(t17,plain,
ifeq(at(X1,X2,X3),true,or(held(X1,X3),at(X1,X2,go(X4,X3))),true) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(t27,plain,
ifeq(at(X1,X2,X3),true,or(held(X1,X3),at(X1,X2,go(X4,X3))),true) = true,
inference(orient,[status(thm)],[t17]) ).
cnf(f5,axiom,
( at(Thing,Place,let_go(Situation))
| ~ at(Thing,Place,Situation) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',situation_let_go) ).
fof(f5_nnf,plain,
! [Thing,Place,Situation] :
( at(Thing,Place,let_go(Situation))
| ~ at(Thing,Place,Situation) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [Thing,Place,Situation] :
( at(Thing,Place,let_go(Situation))
| ~ at(Thing,Place,Situation) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( at(X0,X1,let_go(X2))
| ~ at(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(t13,plain,
ifeq(at(X1,X2,X3),true,at(X1,X2,let_go(X3)),true) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(t25,plain,
ifeq(at(X1,X2,X3),true,at(X1,X2,let_go(X3)),true) = true,
inference(orient,[status(thm)],[t13]) ).
cnf(t39,plain,
true = ifeq(true,true,at(something,here,let_go(now)),true),
inference(cp,[status(thm)],[t25,t37]) ).
cnf(t6895,plain,
true = at(something,here,let_go(now)),
inference(step,[status(thm)],[t39,t21]) ).
cnf(t56,plain,
at(something,here,let_go(now)) = true,
inference(orient,[status(thm)],[t6895]) ).
cnf(t61,plain,
true = ifeq(true,true,or(held(something,let_go(now)),at(something,here,go(X1,let_go(now)))),true),
inference(cp,[status(thm)],[t27,t56]) ).
cnf(t6902,plain,
true = or(held(something,let_go(now)),at(something,here,go(X1,let_go(now)))),
inference(step,[status(thm)],[t61,t21]) ).
cnf(f3,axiom,
~ held(Thing,let_go(Situation)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cant_hold_and_let_go) ).
fof(f3_nnf,plain,
! [Thing,Situation] : ~ held(Thing,let_go(Situation)),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [Thing,Situation] : ~ held(Thing,let_go(Situation)),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
~ held(X0,let_go(X1)),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t6,plain,
held(X1,let_go(X2)) = false,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t47,plain,
held(X1,let_go(X2)) = false,
inference(orient,[status(thm)],[t6]) ).
cnf(t6903,plain,
true = or(false,at(something,here,go(X1,let_go(now)))),
inference(step,[status(thm)],[t6902,t47]) ).
cnf(t3,plain,
or(false,X1) = X1,
introduced(definition) ).
cnf(t23,plain,
or(false,X1) = X1,
inference(orient,[status(thm)],[t3]) ).
cnf(t6904,plain,
true = at(something,here,go(X1,let_go(now))),
inference(step,[status(thm)],[t6903,t23]) ).
cnf(t101,plain,
at(something,here,go(X1,let_go(now))) = true,
inference(orient,[status(thm)],[t6904]) ).
cnf(t103,plain,
true = ifeq(true,true,at(something,here,pick_up(go(X1,let_go(now)))),true),
inference(cp,[status(thm)],[t26,t101]) ).
cnf(t6922,plain,
true = at(something,here,pick_up(go(X1,let_go(now)))),
inference(step,[status(thm)],[t103,t21]) ).
cnf(t193,plain,
at(something,here,pick_up(go(X1,let_go(now)))) = true,
inference(orient,[status(thm)],[t6922]) ).
cnf(t6872,plain,
true = ifeq(true,true,put(something,X1,go(X1,pick_up(go(here,let_go(now))))),true),
inference(cp,[status(thm)],[t6871,t193]) ).
cnf(t8027,plain,
true = put(something,X1,go(X1,pick_up(go(here,let_go(now))))),
inference(step,[status(thm)],[t6872,t21]) ).
cnf(t6873,plain,
put(something,X1,go(X1,pick_up(go(here,let_go(now))))) = true,
inference(orient,[status(thm)],[t8027]) ).
cnf(t6874,plain,
true = ifeq(true,true,false,true),
inference(cp,[status(thm)],[t1584,t6873]) ).
cnf(t8029,plain,
true = false,
inference(step,[status(thm)],[t6874,t21]) ).
cnf(t6878,plain,
false = true,
inference(orient,[status(thm)],[t8029]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c3,c13]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t6878]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.38 % Computer : n013.cluster.edu
% 0.08/0.38 % Model : x86_64 x86_64
% 0.08/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.38 % Memory : 8046.5625MB
% 0.08/0.38 % OS : Linux 6.8.0-71-generic
% 0.08/0.38 % CPULimit : 300
% 0.08/0.38 % WCLimit : 300
% 0.08/0.38 % DateTime : Thu Sep 24 01:25:42 UTC 2026
% 0.08/0.38 % CPUTime :
% 0.08/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 37.19/5.28 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 37.19/5.28 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------