%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PLA018-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 : Tue Sep 29 12:28:36 PM UTC 2026
% Result : Unsatisfiable 0.25s 0.60s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 26
% Syntax : Number of formulae : 68 ( 20 unt; 0 def)
% Number of atoms : 241 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 385 ( 212 ~; 173 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 91 ( 91 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( holds(and(X0,X1),X2)
| ~ holds(X0,X2)
| ~ holds(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',and_definition) ).
fof(f2,axiom,
! [X0,X1] :
( holds(holding(X0),do(pickup(X0),X1))
| ~ holds(empty,X1)
| ~ holds(clear(X0),X1)
| ~ differ(X0,table) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',pickup_1) ).
fof(f3,axiom,
! [X2,X0,X1] :
( holds(clear(X0),do(pickup(X1),X2))
| ~ holds(on(X1,X0),X2)
| ~ holds(clear(X1),X2)
| ~ holds(empty,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',pickup_2) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( holds(on(X0,X1),do(pickup(X2),X3))
| ~ holds(on(X0,X1),X3)
| ~ differ(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',pickup_3) ).
fof(f5,axiom,
! [X2,X0,X1] :
( holds(clear(X0),do(pickup(X1),X2))
| ~ holds(clear(X0),X2)
| ~ differ(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',pickup_4) ).
fof(f6,axiom,
! [X2,X0,X1] :
( holds(empty,do(putdown(X0,X1),X2))
| ~ holds(holding(X0),X2)
| ~ holds(clear(X1),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',putdown_1) ).
fof(f7,axiom,
! [X2,X0,X1] :
( holds(on(X0,X1),do(putdown(X0,X1),X2))
| ~ holds(holding(X0),X2)
| ~ holds(clear(X1),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',putdown_2) ).
fof(f8,axiom,
! [X2,X0,X1] :
( holds(clear(X0),do(putdown(X0,X1),X2))
| ~ holds(holding(X0),X2)
| ~ holds(clear(X1),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',putdown_3) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( holds(on(X0,X1),do(putdown(X2,X3),X4))
| ~ holds(on(X0,X1),X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',putdown_4) ).
fof(f10,axiom,
! [X2,X3,X0,X1] :
( holds(clear(X0),do(putdown(X1,X2),X3))
| ~ holds(clear(X0),X3)
| ~ differ(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',putdown_5) ).
fof(f11,axiom,
! [X0,X1] :
( ~ differ(X1,X0)
| differ(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',symmetry_of_differ) ).
fof(f12,axiom,
differ(a,b),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_a_b) ).
fof(f13,axiom,
differ(a,c),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_a_c) ).
fof(f14,axiom,
differ(a,d),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_a_d) ).
fof(f15,axiom,
differ(a,table),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_a_table) ).
fof(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_b_c) ).
fof(f19,axiom,
differ(c,d),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_c_d) ).
fof(f20,axiom,
differ(c,table),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_c_table) ).
fof(f21,axiom,
differ(d,table),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_d_table) ).
fof(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state3) ).
fof(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state5) ).
fof(f27,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state6) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state7) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state8) ).
fof(f30,axiom,
! [X0] : holds(clear(table),X0),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',clear_table) ).
fof(f31,negated_conjecture,
! [X0] : ~ holds(and(on(a,b),on(d,c)),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_AB_DC) ).
fof(f39,plain,
differ(b,a),
inference(resolution,[],[f11,f12]) ).
fof(f40,plain,
differ(c,a),
inference(resolution,[],[f11,f13]) ).
fof(f42,plain,
differ(c,b),
inference(resolution,[],[f11,f16]) ).
fof(f75,plain,
! [X0] :
( ~ holds(on(d,c),X0)
| ~ holds(on(a,b),X0) ),
inference(resolution,[],[f1,f31]) ).
fof(f199,plain,
! [X0] :
( ~ holds(on(a,b),do(putdown(d,c),X0))
| ~ holds(clear(c),X0)
| ~ holds(holding(d),X0) ),
inference(resolution,[],[f7,f75]) ).
fof(f751,plain,
! [X0] :
( ~ holds(on(a,b),X0)
| ~ holds(holding(d),X0)
| ~ holds(clear(c),X0) ),
inference(resolution,[],[f199,f9]) ).
fof(f756,plain,
! [X0,X1] :
( ~ holds(clear(c),do(pickup(X0),X1))
| ~ holds(holding(d),do(pickup(X0),X1))
| ~ holds(on(a,b),X1)
| ~ differ(a,X0) ),
inference(resolution,[],[f751,f4]) ).
fof(f769,plain,
! [X0,X1] :
( ~ holds(holding(d),do(pickup(X0),X1))
| ~ holds(on(a,b),X1)
| ~ differ(a,X0)
| ~ holds(clear(c),X1)
| ~ differ(c,X0) ),
inference(resolution,[],[f756,f5]) ).
fof(f781,plain,
! [X0] :
( ~ holds(on(a,b),X0)
| ~ differ(a,d)
| ~ holds(clear(c),X0)
| ~ differ(c,d)
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ differ(d,table) ),
inference(resolution,[],[f769,f2]) ).
fof(f782,plain,
! [X0] :
( ~ holds(on(a,b),X0)
| ~ holds(clear(c),X0)
| ~ differ(c,d)
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ differ(d,table) ),
inference(forward_subsumption_resolution,[],[f781,f14]) ).
fof(f783,plain,
! [X0] :
( ~ holds(on(a,b),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ differ(d,table) ),
inference(forward_subsumption_resolution,[],[f782,f19]) ).
fof(f784,plain,
! [X0] :
( ~ holds(on(a,b),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),X0) ),
inference(forward_subsumption_resolution,[],[f783,f21]) ).
fof(f785,plain,
! [X2,X0,X1] :
( ~ holds(clear(d),do(putdown(X0,X1),X2))
| ~ holds(empty,do(putdown(X0,X1),X2))
| ~ holds(clear(c),do(putdown(X0,X1),X2))
| ~ holds(on(a,b),X2) ),
inference(resolution,[],[f784,f9]) ).
fof(f909,plain,
! [X2,X0,X1] :
( ~ holds(clear(c),do(putdown(X0,X1),X2))
| ~ holds(empty,do(putdown(X0,X1),X2))
| ~ holds(on(a,b),X2)
| ~ holds(clear(d),X2)
| ~ differ(d,X1) ),
inference(resolution,[],[f785,f10]) ).
fof(f917,plain,
! [X0,X1] :
( ~ holds(empty,do(putdown(c,X0),X1))
| ~ holds(on(a,b),X1)
| ~ holds(clear(d),X1)
| ~ differ(d,X0)
| ~ holds(holding(c),X1)
| ~ holds(clear(X0),X1) ),
inference(resolution,[],[f909,f8]) ).
fof(f918,plain,
! [X0,X1] :
( ~ holds(on(a,b),X1)
| ~ holds(clear(d),X1)
| ~ differ(d,X0)
| ~ holds(holding(c),X1)
| ~ holds(clear(X0),X1) ),
inference(forward_subsumption_resolution,[],[f917,f6]) ).
fof(f921,plain,
! [X2,X0,X1] :
( ~ holds(clear(d),do(pickup(X0),X1))
| ~ differ(d,X2)
| ~ holds(holding(c),do(pickup(X0),X1))
| ~ holds(clear(X2),do(pickup(X0),X1))
| ~ holds(on(a,b),X1)
| ~ differ(a,X0) ),
inference(resolution,[],[f918,f4]) ).
fof(f972,plain,
! [X2,X0,X1] :
( ~ holds(clear(X0),do(pickup(X1),X2))
| ~ holds(holding(c),do(pickup(X1),X2))
| ~ differ(d,X0)
| ~ holds(on(a,b),X2)
| ~ differ(a,X1)
| ~ holds(on(X1,d),X2)
| ~ holds(clear(X1),X2)
| ~ holds(empty,X2) ),
inference(resolution,[],[f921,f3]) ).
fof(f1261,plain,
! [X0,X1] :
( ~ holds(holding(c),do(pickup(X0),X1))
| ~ differ(d,table)
| ~ holds(on(a,b),X1)
| ~ differ(a,X0)
| ~ holds(on(X0,d),X1)
| ~ holds(clear(X0),X1)
| ~ holds(empty,X1) ),
inference(resolution,[],[f972,f30]) ).
fof(f1263,plain,
! [X0,X1] :
( ~ holds(holding(c),do(pickup(X0),X1))
| ~ holds(on(a,b),X1)
| ~ differ(a,X0)
| ~ holds(on(X0,d),X1)
| ~ holds(clear(X0),X1)
| ~ holds(empty,X1) ),
inference(forward_subsumption_resolution,[],[f1261,f21]) ).
fof(f1264,plain,
! [X0] :
( ~ holds(on(a,b),X0)
| ~ differ(a,c)
| ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table) ),
inference(resolution,[],[f1263,f2]) ).
fof(f1265,plain,
! [X0] :
( ~ holds(on(a,b),X0)
| ~ differ(a,c)
| ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ differ(c,table) ),
inference(duplicate_literal_removal,[],[f1264]) ).
fof(f1266,plain,
! [X0] :
( ~ holds(on(a,b),X0)
| ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ differ(c,table) ),
inference(forward_subsumption_resolution,[],[f1265,f13]) ).
fof(f1267,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(on(a,b),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0) ),
inference(forward_subsumption_resolution,[],[f1266,f20]) ).
fof(f1268,plain,
! [X2,X0,X1] :
( ~ holds(on(a,b),do(putdown(X0,X1),X2))
| ~ holds(clear(c),do(putdown(X0,X1),X2))
| ~ holds(empty,do(putdown(X0,X1),X2))
| ~ holds(on(c,d),X2) ),
inference(resolution,[],[f1267,f9]) ).
fof(f1288,plain,
! [X0] :
( ~ holds(clear(c),do(putdown(a,b),X0))
| ~ holds(empty,do(putdown(a,b),X0))
| ~ holds(on(c,d),X0)
| ~ holds(holding(a),X0)
| ~ holds(clear(b),X0) ),
inference(resolution,[],[f1268,f7]) ).
fof(f1289,plain,
! [X0] :
( ~ holds(clear(c),do(putdown(a,b),X0))
| ~ holds(on(c,d),X0)
| ~ holds(holding(a),X0)
| ~ holds(clear(b),X0) ),
inference(forward_subsumption_resolution,[],[f1288,f6]) ).
fof(f1290,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(holding(a),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(c),X0)
| ~ differ(c,b) ),
inference(resolution,[],[f1289,f10]) ).
fof(f1291,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(holding(a),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(c),X0) ),
inference(forward_subsumption_resolution,[],[f1290,f42]) ).
fof(f1294,plain,
! [X0,X1] :
( ~ holds(clear(c),do(pickup(X0),X1))
| ~ holds(clear(b),do(pickup(X0),X1))
| ~ holds(holding(a),do(pickup(X0),X1))
| ~ holds(on(c,d),X1)
| ~ differ(c,X0) ),
inference(resolution,[],[f1291,f4]) ).
fof(f1311,plain,
! [X0,X1] :
( ~ holds(clear(b),do(pickup(X0),X1))
| ~ holds(holding(a),do(pickup(X0),X1))
| ~ holds(on(c,d),X1)
| ~ differ(c,X0)
| ~ holds(clear(c),X1)
| ~ differ(c,X0) ),
inference(resolution,[],[f1294,f5]) ).
fof(f1312,plain,
! [X0,X1] :
( ~ holds(clear(b),do(pickup(X0),X1))
| ~ holds(holding(a),do(pickup(X0),X1))
| ~ holds(on(c,d),X1)
| ~ differ(c,X0)
| ~ holds(clear(c),X1) ),
inference(duplicate_literal_removal,[],[f1311]) ).
fof(f1314,plain,
! [X0,X1] :
( ~ holds(holding(a),do(pickup(X0),X1))
| ~ holds(on(c,d),X1)
| ~ differ(c,X0)
| ~ holds(clear(c),X1)
| ~ holds(clear(b),X1)
| ~ differ(b,X0) ),
inference(resolution,[],[f1312,f5]) ).
fof(f1315,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ differ(c,a)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0)
| ~ differ(b,a)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ differ(a,table) ),
inference(resolution,[],[f1314,f2]) ).
fof(f1316,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0)
| ~ differ(b,a)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ differ(a,table) ),
inference(forward_subsumption_resolution,[],[f1315,f40]) ).
fof(f1317,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ differ(a,table) ),
inference(forward_subsumption_resolution,[],[f1316,f39]) ).
fof(f1318,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0) ),
inference(forward_subsumption_resolution,[],[f1317,f15]) ).
fof(f1322,plain,
( ~ holds(clear(c),s0)
| ~ holds(clear(b),s0)
| ~ holds(empty,s0)
| ~ holds(clear(a),s0) ),
inference(resolution,[],[f1318,f24]) ).
fof(f1323,plain,
( ~ holds(clear(b),s0)
| ~ holds(empty,s0)
| ~ holds(clear(a),s0) ),
inference(forward_subsumption_resolution,[],[f1322,f28]) ).
fof(f1325,plain,
( ~ holds(empty,s0)
| ~ holds(clear(a),s0) ),
inference(forward_subsumption_resolution,[],[f1323,f27]) ).
fof(f1327,plain,
~ holds(clear(a),s0),
inference(forward_subsumption_resolution,[],[f1325,f29]) ).
fof(f1328,plain,
$false,
inference(forward_subsumption_resolution,[],[f1327,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PLA018-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.23/0.48 % Computer : n011.cluster.edu
% 0.23/0.48 % Model : x86_64 x86_64
% 0.23/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.48 % Memory : 8046.5625MB
% 0.23/0.48 % OS : Linux 6.8.0-71-generic
% 0.23/0.48 % CPULimit : 300
% 0.23/0.48 % WCLimit : 300
% 0.23/0.48 % DateTime : Sun Sep 27 22:09:45 UTC 2026
% 0.23/0.49 % CPUTime :
% 0.23/0.49 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.25/0.52 Running first-order model finding
% 0.25/0.52 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.25/0.60 % (2808784)Will run a generic schedule for satisfiability detection.
% 0.25/0.60 % (2808792)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1603901184:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.25/0.60 % (2808791)% WARNING: option uhcvi not known.
% 0.25/0.60 % (2808790)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1437398963_2999 on theBenchmark for (2999ds/0Mi)
% 0.25/0.60 % (2808794)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=205342622:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.25/0.60 % (2808793)dis+10_1_sil=32000:sp=arity:random_seed=3283595465:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.25/0.60 % (2808795)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=136893104:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.25/0.60 % (2808791)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1598734829:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.25/0.60 % TRYING [1]
% 0.25/0.60 % TRYING [2]
% 0.25/0.60 % TRYING [3]
% 0.25/0.60 % (2808792) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2808784-2808792"...
% 0.25/0.60 % (2808792)...printing done.
% 0.25/0.60 % (2808792)Refutation found. Thanks to Tanya!
% 0.25/0.60 % SZS status Unsatisfiable for theBenchmark
% 0.25/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.60 % (2808792)------------------------------
% 0.25/0.60 % (2808792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.60 % (2808792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.60 % (2808792)CaDiCaL version: 2.1.3
% 0.25/0.60 % (2808792)Termination reason: Refutation
% 0.25/0.60 % (2808792)Time elapsed: 0.028 s
% 0.25/0.60 % (2808792)Peak memory usage: 12 MB
% 0.25/0.60 % (2808792)Instructions burned: 50 (million)
% 0.25/0.60 % (2808784)Success in time 0.066 s
% 0.25/0.60 % Vampire exiting
%------------------------------------------------------------------------------