%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO690-1.005 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 : Tue Sep 29 02:32:26 PM UTC 2026
% Result : Satisfiable 0.07s 0.25s
% Output : Saturation 0.07s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u20,axiom,
( eq(f(X2,X0),f(X3,X1))
| ~ eq(X0,X1) ) ).
cnf(u25,axiom,
step(f(f(f(f(f(f(f(X0,a),a),a),a),a),X1),f(X2,a)),f(f(X2,f(f(f(f(f(f(X1,a),a),a),a),a),a)),X0)) ).
cnf(rewrite_right,axiom,
( step(f(X2,X0),f(X2,X1))
| ~ step(X0,X1) ) ).
cnf(u15,axiom,
~ seq(zero,X0,X0) ).
cnf(u17,axiom,
~ eq(a,a) ).
cnf(rewrite_left,axiom,
( step(f(X0,X2),f(X1,X2))
| ~ step(X0,X1) ) ).
cnf(u14,negated_conjecture,
~ seq(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(zero)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),X0,X0) ).
cnf(u16,axiom,
( ~ seq(succ(X0),X1,X3)
| ~ step(X2,X3)
| seq(X0,X1,X2) ) ).
cnf(u22,axiom,
eq(a,f(X0,X1)) ).
cnf(u19,axiom,
( eq(f(X0,X2),f(X1,X3))
| ~ eq(X0,X1) ) ).
cnf(rule_1,axiom,
top(f(f(f(f(f(f(f(X0,a),a),a),a),a),X1),f(X2,a)),f(f(X2,f(f(f(f(f(f(X1,a),a),a),a),a),a)),X0)) ).
cnf(u18,axiom,
( ~ eq(f(X0,X2),f(X1,X3))
| eq(X2,X3)
| eq(X0,X1) ) ).
cnf(rewrite_top,axiom,
( ~ top(X0,X1)
| step(X0,X1) ) ).
cnf(u21,axiom,
eq(f(X0,X1),a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO690-1.005 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n013.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 18:08:33 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 0.07/0.25 % (1400698)Will run a generic schedule for satisfiability detection.
% 0.07/0.25 % (1400704)% WARNING: option uhcvi not known.
% 0.07/0.25 % (1400704)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1724736789:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.25 % (1400704) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1400698-1400704"...
% 0.07/0.25 % (1400704)...printing done.
% 0.07/0.25 % SZS status Satisfiable for theBenchmark
% 0.07/0.25 % SZS output start Saturation.
% See solution above
% 0.07/0.25 % SZS output start Definitions and Model Updates.
% 0.07/0.25 globally flip the polarity of every occurrence of predicate "eq"
% 0.07/0.25 globally flip the polarity of every occurrence of predicate "seq"
% 0.07/0.25 % SZS output end Definitions and Model Updates.
% 0.07/0.25 % (1400704)------------------------------
% 0.07/0.25 % (1400704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (1400704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (1400704)CaDiCaL version: 2.1.3
% 0.07/0.25 % (1400704)Termination reason: Satisfiable
% 0.07/0.25 % (1400704)Time elapsed: 0.001 s
% 0.07/0.25 % (1400704)Peak memory usage: 11 MB
% 0.07/0.25 % (1400698)Success in time 0.033 s
% 0.07/0.25 % Vampire exiting
%------------------------------------------------------------------------------